# Post-doctoral Laureates

### Laureates for 2017

List of post-docs on the "Interaction" program

 Name Laboratory Duration COSSE Augustin DMA PSL-FSMP Fellow 1 year HERDA Maxime LJLL 1 year IURLANO Flaviana LJLL SU-FSMP Fellow 1 year (renouvellement) NYS Manon CEREMADE PSL-FSMP Fellow 2 years PAZ Ami IRIF 1 year PERRIN Léo Inria 1 year ROSSI Maurizia MAP5 1 year SALEM Samir CEREMADE PSL-FSMP Fellow 2 years TORRI Niccolo LPMA 1 year ZETZSCHE Georg IRIF 1 year

List of post-docs on the general program

 Name Laboratory Duration DI NEZZA Eleonora IMJ IHES-FSMP Fellow 2 years HENNION Benjamin IMJ 1 year MIYAZAKI Hiroyasu IMJ 1 year NARDIN Denis LAGA 2 years VIGNATI Alessandro IMJ 1 year WYSS Dimitri IMJ 2 years

The applicants ranked on the additional list have been contacted by the FSMP executive committee

The applicants ranked on the additional list have been contacted by the FSMP executive committee

### Laureates for 2016

Liste des post-docs fléchés "Interaction"

Beniamin Bogosel

De nationalité roumaine, a soutenu sa thèse à l'Université Savoie du Mont Blanc

Accueil : Département de Mathématiques et Applications de l'Ecole Normale Supérieure

Résumé du projet :

"We plan to investigate partitions of some planar domains which minimize the largest Dirichlet-Laplacian eigenvalue. There are just a few cases known theoretically and we believe that a numerical study may allow us to find good candidates for these optimal partition. During my phd thesis I used an algorithm for minimizing the sum of the eigenvalues. The plan is to modify this algorithm in order to be able to optimize the maximal eigenvalue. The difficulty is that the functional to minimize is not smooth. We plan to use some relaxation techniques to go around this difficulty."

Charlotte Dion

De nationalité fraçaise, a soutenu sa thèse à l'Université Joseph Fourier de Grenoble

Accueil : Laboratoire Statistique, Analyse, Modélisation Multidisciplinaire

Résumé du projet :

"Le sujet du post-doctorat porte sur la détection de ruptures pour des modèles linéaires. L'originalité du projet réside en la nouvelle pénalisation proposée, dépendant des données. La consistence du nouveau critère sera prouvé et un algorithme illustrant la technique sera proposé."

Carl Feghali

De nationalité libanaise, a soutenu sa thèse à l'Université de Durham

Accueil : Institut de Recherche en Informatique Fondamentale

Résumé du projet :

"The union-closed sets conjecture by Frankl asserts that, given a family of sets closed under taking unions, there exists an element that appears in at least half of the sets of the family. Recently Bruhn, Charbit, Schaudt and Telle formulated the conjecture in terms of a problem of graphs and obtain several interesting results (2012). Subsequently Bruhn and Schaudt considered a weakening of this graph analogue from a probabilistic perspective (2013) and their result was soon strengthened by Balister and Bollobas (2013). The project will consist in extending the above-mentioned work; considering both the full version and its probabilistic relaxation."

Robert Gower *

De nationalité britannique, a soutenu sa thèse à l'Université d'Edimbourgh

Accueil : Equipe projet Inria - Département d'Informatique de l'ENS

Résumé du projet :

"The recent surge of available data has enabled the automatic detection of patterns through machine learning. The every increasing dimensions of data and new applications from machine learning has brought new challenges to the design of numerical algorithms and the mathematics that underpins these algorithms. This postdoctral program sets out to design new stochastic optimization methods that can solve large scale convex optimization problems from machine learning, but also, do so with provenly fast convergence rates. As such, this program lies on the frontier between mathematics and computer science, on the one hand providing a rigorous analysis so as to establish a firm bases on which theory and practice can advance, but also, provide high-performance software freely available on google code."

Flaviana Iurlano

De nationalité italienne, a soutenu sa thèse à la Scuola Internazionale Superiore di Studi Avanzati de Trieste

Accueil : Laboratoire Jacques-Louis Lions

Résumé du projet :

"The first aim of the project is to obtain an integral representation and a relaxation result in the space BD. These two essential tools will next be applied to prove the convergence of damage to cohesive fracture in linearized elasticity and to construct quasistatic evolutions of brittle fracture."

Joanna Ochremiak

De nationalité polonnaise, a soutenu sa thèse à l'université de Varsovie

Accueil : Institut de Recherche en Informatique Fondamentale

Résumé du projet :

"The project concerns specification and automatic verification of systems allowing nondeterministic behaviours. We plan to study games and automata over infinite trees with alternative winning/acceptance conditions. The semantics we want to consider are based on probability, cardinality and topology."

Simone Di Marino (FSMP-PSL Fellow)

De nationalité italienne, a soutenu sa thèse à l'ENS de Pise

Accueil :Centre de Recherche en Mathématiques de la Décision/ Inria

Résumé du projet :

"Je veux étudier le trasport optimal multimarginal (notamment pour applications à la DFT) et des équations d'évolution avec contraint de densité (crowd motion et tumor growth modèles). "

Liste des post-docs non fléchés "Interaction"

Thibaut Delcroix * (FSMP-PSL Fellow)

De nationalité française, a soutenu sa thèse à l'Université Grenoble Alpes

Accueil : Département de Mathématiques et Applications de l'Ecole Normale Supérieure

Résumé du projet :

"Mon projet de recherche est d'une part d'étudier le lien entre la condition d'existence de métriques de Kähler-Einstein obtenue dans ma thèse et la K-stabilité, et d'autre part d'utiliser les techniques développées dans ma thèse dans des cadres différents pour obtenir d'autres exemples de métriques canoniques sur des variétés avec beaucoup de symétries."

Christopher Janjigian

De nationalité américaine, a soutenu sa thèse à l'Université du Wisconsin-Madison

Accueil : Laboratoire de Probabilités et Modèles Aléatoires

Résumé du projet :

"Free energy large deviations in directed polymer models"

Gilbert Moss

De nationalité américaine, a soutenu sa thèse à l'Université du Texan à Austin

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"There is considerable interest in extending classical representation theory of p-adic groups to more general coefficient rings. David Helm and I have recently shown that the local Langlands correspondence for GL(n) interpolates over families of representations. The focus of the postdoc will be extending these questions, especially gamma factors and the integral Bernstein center, to reductive p-adic groups beyond GL(n)."

The-Cang Nguyen

De nationalité vietnamienne, a soutenu sa thèse à l'Université de Tours

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"I would like to study the following problems : construct solutions to the vacuum Einstein constraint equations with freely specified mean curvature on compact manifolds, the study of the Einstein constraints on hyperboloidal slices, the study of the constraint equations for modified gravity theory which is a generalization of Einstein equations, study of the relation between the PMT and the concept of surgery."

Tomás Ibarlucía

De nationalité argentine, a soutenu sa thèse à l'université Claude Bernard de Lyon

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"1. Study the unitary representations of Polish Roelcke precompact groups, seeking to generalize the well-known classification theorems for oligomorphic groups and for compact groups. Use the recent model-theoretic understanding of these groups. 2. Study local NIP phenomena within IP theories motivated by some questions about Rosenthal-representations of Polish groups. More precisely, study the definability of sets whose family of translates have finite VC dimension"

Guowei Yu

De nationalité chinoise, a soutenu sa thèse à l'université du Minnesota-Twin Cities

Accueil : Centre de Recherche en Mathématiques de la Décision

Résumé du projet :

"The main project is to study the classical Newtonian n-body problem using the variational approach. We hope to find collision-free (quasi)-periodic solutions under various symmetric and topological constraints. As a result, we would like to establish the global existence of families of solutions connecting the rotating n-gon's and the linear chains and study the continuity of these families with respect to certain parameter. Meanwhile we also plan to study the existence of diffusion orbits in concrete models, like the n-body problem."

Pavel Zatitskiy

De nationalité russe, a soutenu sa thèse à l'université de Saint Petersbourg

Accueil : Département de Mathématiques de l'ENS

Résumé du projet :

"The first part of my project focuses on various properties of special metric invariants of dynamical systems called scaling entropy sequences. Such sequences, first studied by A. Vershik, characterize epsilon-entropy asymptotics of averages of metrics with respect to the group action. The second part of the project is about proving sharp inequalities in harmonic analysis using the Bellman function method. I would like to adapt the method to higher-dimensional settings, as well as to problems involving smoothness."

(*) 2 années

### Laureates for 2015

Liste des post-docs fléchés "Interaction"

Shane Mansfield

De nationalité irlandaise, a soutenu sa thèse à l'Université d'Oxford

Accueil : Laboratoire Preuves, Programmes et Systèmes

Résumé du projet :

"We build on our recent work on unified structural treatments of non-locality and contextuality, key features that distinguish quantum from classical physics. Connections can be found with diverse topics (databases, classical complexity theory, semantics of natural language, and dependence logic). The main objectives are: 1) to develop a deeper, semantic approach to these key non-classical features, underpinned by robust and elegant mathematics; 2) to use this to take a new approach to the axiomatisation and characterisation of quantum theory; 3) to explore and widen the connections to mainstream computer science with a focus on the transfer of methods and insights between the fields."

Takahiro Nemoto

De nationalité japonaise, a soutenu sa thèse à l'université de Kyoto

Accueil : Laboratoire de Probabilités et Modèles Aléatoires

Résumé du projet :

"To understand the features of glass transition, a class of models, called kinetically constrained models, has been proposed. Vivien Lecomte, who is the principal investigator of this research project, and his collaborators found a non-analytic point in a large deviation function defined in this model, which is believed to be related to the nature of its glassy behavior. Still there are very few rigorous results that prove these properties. We will approach to this problem by using the technique method of auxiliary dynamics' that has gathered attention in the field of non-equilibrium physics community recently, and that is amenable to mathematical treatments."

Salman Parsa

De nationalité iranienne, a soutenu sa thèse à Duke University

Accueil : Département Informatique de l'ENS

Résumé du projet :

"My research is in the area of computational topology. It involves a mixture of algorithm design and data structure techniques and basic concepts from algebraic topology. I study various algorithmic problems in the area. Most specifically, I study Reeb graphs of simplicial complexes and various algorithmic problems related to their construction. In addition, I am interested in efficiency of computing homology groups in special cases, such as embedded complexes in euclidean spaces. In a most abstract level, I also consider various problems related to simplicial complexes which are realized in 4-dimensional space."

Clarice Poon

De nationalité britannique, a soutenu sa thèse à l'université de Cambridge

Accueil : CEntre de REcherche en MAtématiques de la DÉcision

Résumé du projet :

"Recent advances have lead to the development of techniques which can recover high resolution signals from far fewer samples than traditionally thought possible. However, the theory behind these techniques for many practical applications (such as medical imaging and image compression) is still far from complete and this is an issue which I will address. With my host, Gabriel Peyre, I intend to develop a theoretical understanding of the geometrical properties which can be recovered."

Samuele Rubino

De nationalité italienne, a soutenu sa thèse à l'université de Séville

Accueil : Laboratoire Jacques-Louis Lions

Résumé du projet :

"The main objective of this project is to build numerical models for the computation of the energetic efficiency of buildings, based upon the accurate parameterization of the thermal exchange between the air and the building through ROM (Reduced Order Models), combined with CFD (Computational Fluid Dynamics) tools. It is a highly challenging subject as usual procedures for the computation of the heat exchange are un-useful due to the huge amount of degrees of freedom required and the large number of parameters involved. The final application of this research is the elaboration of computer-aided programs for the eco-efficient design of buildings."

Bruno Ziliotto (2 ans)

De nationalité française, a soutenu sa thèse à l'université de Toulouse

Accueil : CEntre de REcherche en MAtématiques de la DÉcision

Résumé du projet :

"Le projet vise à déterminer l'existence de paiements d'équilibre de long terme dans différents modèles de jeux stochastiques en temps continu (modèle de Neyman, modèle de Cardaliaguet et al., modèle de jeu stochastique différentiel), et à comparer ceux-ci aux modèles en temps discret. Après avoir identifié les spécificités de chaque modèle, des techniques universelles de preuve d'existence de paiements d'équilibre de long terme pourraient ainsi être dégagées."

Liste des post-docs non-fléchés "Interaction"

Yonatan Harpaz (reconduction)

De nationalité israëlienne, a soutenu sa thèse à l'université de Jérusalem

Accueil : Département de Mathématiques et Applications

Résumé du projet :

"My research plan consists of studying and analyzing the descent-fibration method, a combination of the fibration method with a sophisticated form of descent. This method, which was pioneered by Swinnerton-Dyer in 94', is one of the most powerful methods for showing the existence of rational points on algebraic varieties. I wish to understand the minimal set of assumptions needed for the successful application of this method and to be able to use it in greater generality."

Cyril Marzouk

De nationalité française, a soutenu sa thèse à l'université de Zürich

Accueil :Laboratoire de Probabilités et Modèles Aléatoires

Résumé du projet :

Le projet de recherche comporte trois parties distinctes, portant toutes sur les arbres aléatoires. La première partie concerne les propriétés géométriques des arbres de Lévy, exemples d'espaces métriques compacts aléatoires, et la question d'une part de l'existence d'une mesure de Hausdorff exacte pour une certaine sous-classe de tels arbres ; d'autre part, l'étude de la masse des boules exceptionnellement grandes dans un arbre stable. La deuxième partie concerne les arbres construits par attachement préférentiel affine et l'étude des propriétés géométriques des sites ayant un grand degré. Cette étude passe par "l'arbre à boucles" associé à l'arbre initial, et la convergence de cet objet vers une limite qui reste à définir. Enfin la dernière partie porte sur les processus de fragmentation gelée : un objet d'une certaine masse se scinde en plusieurs parties de plus petites masses qui, à leur tour, soit sont gelées et restent ainsi, soit se scindent encore, et ainsi de suite.

Ilaria Mondello

De nationalité italienne, a soutenu sa thèse à l'université de Nantes

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"Grâce à mes résultats précédents, j'envisage donner des exemples d'espace singuliers (stratifiés) qui admettent une métrique de Yamabe à courbure scalaire constante, en passant par un théorème de masse positive: à ce moment, on ne connaît aucun exemple explicite. Je souhaite aussi étudier plusieurs aspects géométriques et analytiques de ces espaces, par exemple leurs profils isopérimétriques et leur rapport aux conditions de courbure-dimensions de Bakry-Émery et Lott-Villani. Je m'intéresse aussi aux espaces singuliers qui apparaissent comme limites de Gromov-Hausdorff de variétés lisses, aux variétés kähleriennes, aux flots géométriques sur les espaces singuliers."

Michele Rimoldi

De nationalité italienne, a soutenu sa thèse à l'Università degli Studi de Milan

Accueil : Laboratoire Analyse, Géométrie et Applications

Résumé du projet :

"This project fits into the research field concerning the study of rigidity and classification results for singularity models for Hamilton's Ricci flow. The first part of the project is devoted to obtain sufficiently general geometric conditions under which shrinking Ricci solitons support a gradient Ricci soliton structure. Secondly, a more ambitious goal will be the classification of locally conformally flat expanding gradient Ricci solitons."

Volker Schlue

De nationalité allemande, a soutenu sa thèse à l'université de Cambridge

Accueil : Laboratoire Jacques-Louis Lions

Résumé du projet :

"My research is focused on mathematical general relativity. It is now a very active area in pure mathematics which has its origin in physics in the relativistic theory of gravitation put forward by Einstein 100 years ago. Since then it has established itself as a subject of great interest in geometric partial di erential equations, in particular non-linear hyperbolic p.d.e.'s with deep roots in classical di erential geometry. It is a subject in mathematics that has been guided by profound conjectures in physics and has produced many exciting results that have advanced our understanding of gravity, and non-linear p.d.e.'s in general. I am currently pursuing two directions in the study of the Einstein equations of general relativity. The fi rst is a stability problem for black hole spacetimes in the cosmological setting, which I describe below, and the second is a uniqueness problem for stationary spacetimes in the context of isolated self-gravitating systems (...)"

Alberto Vezzani

De nationalité italienne, a soutenu sa thèse à l'université de Zurich

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"Étude des catégories de motifs des variétés analytiques rigides, avec applications en géométrie arithmétique. Utilisation des techniques de basculement à la Fontaine-Scholze pour transférer des résultats cohomologiques de la caractéristique mixte vers la caractéristique positive ou vice-versa. Entre eux, l'indépendance de $\ell$ pour la cohomologie $\ell$-adique, la conjecture de monodromie-poids, le développement des foncteurs de réalisation et des six opérations."

### Laureates in 2014

Liste des post-docs non fléchés "Interaction"

Daniel Fiorilli

De nationalité canadienne, a soutenu sa thèse à l'université de Montréal

Résumé du projet :

"Le projet consiste en une étude de la distribution des nombres premiers dans les progressions arithmétiques, en lien avec les résultats récents de Goldston-Pintz-Yildirm, Zhang et Maynard-Tao. Notre but est d'étudier des quantités telles que la variance de cette dernière distribution, dans certains intervalles où le grand crible de donne pas d'information. Nous étudierons aussi un compte de points sur des réductions d'une courbe elliptique fixée sur un corps de fonction, et tenterons d'étudier le lien entre le bias de ce compte et les zéros des fonctions-L associées. Nous explorerons l'effet des résultats d'Ulmer concernant une famille de courbes elliptiques de rang très élevé, ainsi que des résultats de Kowalski et de Jouve qui impliquent l'indépendance linéaire des zéros de certaines fonctions-L."

Yonatan Harpaz

De nationalité israélienne, a soutenu sa thèse à l'Hebrew University of Jerusalem

Résumé du projet:

"It concerns the study of rational points and 0-cycles of degree 1 on fibred varieties. I plan to collaborate mostly with Olivier Wittenberg and Alexei Skorobogatov to generalize our current results in this area and advance in new directions. Furthermore, I aim to study new applications of Swinnerton-Dyer's descent-fibration method, extending current work in progress which has already produced results on new cases whose arithmetic was considered largely unknown."

De nationalité colombienne, a soutenu sa thèse à Berkeley

Résumé du projet :

"The main goal of this project is to get a better understanding of the group theoretical properties of diffeomorphism groups of manifolds and the structure of their subgroups, focusing particularly on the case where the dimension of the manifold is two."

Moon-Jin Kan

De nationalité coréenne, a soutenu sa thèse à l'université de Séoul

Résumé du projet :

"My main research plans are related to those equations and can be summarized as follows: (1) Existence and stability of viscous shocks for viscous conservation laws with inhomogeneous flux. (2) Asymptotic analysis (hydrodynamic limit, thermodynamic limit, etc) from kinetic equations to fluid equations. (3) PDEs describing fluid flows such as Navier-Stokes-Coriolis type equations, Saint-Venant system."

Henri Mühle

De nationalité allemande, a soutenu sa thèse à l'université de Vienne

Page perso : http://homepage.univie.ac.at/henri.muehle/

Accueil : Laboratoire d'Informatique Algorithmique : Fondement et Applications

Résumé du projet :

"The project focusses on the definition and investigation of partial orders on (m+2)-angulations of an (mn+2)-gon, defined by "flipping" diagonals. For m=1, this construction yields the Cambrian lattices associated with the symmetric group. For m>1, there are several ways to define the required "flips", so that we will obtain a wealth of posets. It is one goal of the project to investigate similarities and differences among these posets, as well as to investigate the connection to related objects, like the m-Tamari lattice and m-cluster complexes."

Marco Robalo

De nationalité portugaise, a soutenu sa thèse à l'université de Montpellier 2

Page perso :http://ens.math.univ-montp2.fr/~robalo/

Résumé du projet :

"This Research Project aims to investigate various direct applications of the results in my thesis and, in parallel, to continue the development of the theory: fi rst with a formalism of vanishing cycles for noncommutative motives and secondly, by exploring the theories of En-noncommutative motives, for each n >0, and the connection with Deformation Quantization."

Valentin Tonita

De nationalité roumaine, a soutenu sa thèse à Berkley

Résumé du projet :

"A K-theoretic Landau-Ginzburg/Calabi-Yau mirror symmetry: study the relation between the quantum K-theory of the quintic threefold and a properly defined quantum K-theoretic version of FJRW theory."

Ke Wang

De nationalité chinoise, a soutenu sa thèse à School of Mathematical Sciences, Fundan University.

Accueil :Centre de Recherche en Mathématiques de la Décision

Résumé du projet :

"Due to the complexity of well-posedness and profile of entropy weak solutions, the controllability and (asymptotic) stabilization problems are difficult but worth to be investigated. In future research, we devote to studying more properties of the solutions and exploring new methods in depth for corresponding control problems of hyperbolic systems of conservation laws in the context of entropy solutions, such as exact controllability, (asymptotic) stabilization."

Zhiyan Zhao

De nationalité chinoise, a soutenu sa thèse au Département de mathématiques de Nanjing University

Résumé du projet :

"There is a great development for the KAM theory in the investigation of the Schroedinger operators, which is concerned with particles and waves in disordered media in quantum physics. However, the situation is much less clear in the presence of nonlinearity, even though the nonlinearity is very weak. Study on the property of such nonlinear systemss is interesting. My work is dedicated to the understanding of the dynamical behavior of such nonlinear PDEs."

Bin Zhao

De nationalité chinoise, a soutenu sa thèse à l'Université de Californie

Résumé du projet :

"My research project consists of two parts: the first is the study of the local behavior of Galois representations attached to nearly ordinary Hilbert modular forms; the second is the study of special cases of the Mumford-Tate conjecture."

Gufang Zhao

De nationalité chinoise, a soutenu sa thèse au Northeastern University

Résumé du projet :

"Applications of derived category of coherent shaves and oriented cohomology theories in representation theory."

Liste des post-docs fléchés "interaction"

Thomas Hudson *

De nationalité britannique, a soutenu sa thèse à l'université d'Oxford

Accueil : Equipe projet de Inria

Résumé du projet :

"This project concerns the rigorous derivation of models for the temperature-driven motion of dislocations via a thermodynamic limit. Dislocations are a kind of topological defect found in crystalline solids, and their motion plays a crucial role in the constitutive behaviour of such materials. The project aims to develop new mathematical tools for coarse-graining models in out-of-equilibrium contexts."

De nationalité indienne, a soutenu sa thèse à Harvard

Résumé du projet :

"Understanding the complexity of learning under weak assumptions on data distributions. One direction is the setting of smoothed analysis, which asserts that there is inherent randomness in the underlying data. The other direction is to consider distributions generated by Markov Random Fields (MRFs). In addition, I would like to study connections between biological evolution and computational learning. I also have interests in stochastic models and randomized algorithms."

Irène Marquez Corbella

Accueil : équipe projet Inria

Résumé du projet :

"The security of the most popular number-theory public key crypto systems will be devastatingly affected by the success of a large quantum computer. Code-based cryptography is one of the promising alternatives that are believed to resist classical and quantum computer attacks. The main aim of this research project is to build trust on this alternative and to achieve similar levels of performance of the current schemes in such a way that the success of the physicist will not bring an end to secure communication."

Bernhard Schmitzer

De nationalité allemande, a soutenu sa thèse à l'université d'Heidelberg

Résumé du projet :

"Theoretical study of the mathematical relation between optimal transport and shape manifolds and the development of powerful corresponding numerical algorithms for applications."

* post-docs de 2 ans

### Laureates in 2013

Liste des post-docs non fléchés "Interaction"

De nationalité portugaise, a soutenu sa thèse au Massachusetts Institute of Technology

Résumé du projet :

"I plan to continue my investigation of the basic theory and applications of factorization (or chiral) homology, which is a recent and important manifold-theoretic invariant of E_n-algebras. I will also develop my work on stratified spaces, and the "categories of descending paths" associated with them. These have multiple geometric and combinatorial applications, in particular to factorization homology. In the long term, I plan to focus on the compelling applications of the little discs operads and the novel "categories of sticky configurations" to the description of spaces of smooth and topological embeddings. This constitutes a natural setting, and a conjectural refinement for embedding calculus."

Xiuyuan Cheng

De nationalité chinoise, a soutenu sa thèse à Princeton

Résumé du projet :

"The proposed project aims at identifying the mathematical nature of "artistic styles" in music and paintings, and developing a classification algorithm to apply to digital art works. In the proposed model, "Art style" is seen as a set of invariants across the pieces of art works belonging to the same class. We will firstly investigate fine-scale structures using their scattering representations. While the application to stylistic analysis is specific, the learning problem of extracting complex invariants from high-dimensional data is generic, and a mathematical understanding is essential for developing efficient algorithms."

Artem Chernikov *

De nationalité russe, a soutenu sa thèse à l'Université Claude Bernard à Lyon

Page perso : (http://www.chernikov.me/)

Résumé du projet :

"Applications of model theory (generalized stability theory, forking calculus in NIP and NTP2) to algebraic and geometric questions in valued difference fields (e.g. non-standard Frobenius automorphism acting on an algebraically closed valued field of characteristic 0) and in ultraproducts of p-adics."

Itai Dinur *

De nationalité Israélienne, a soutenu sa thèse au Weizmann Institute

Page perso : http://www.di.ens.fr/ItaiDinur.html.fr

Résumé du projet :

"Secret key cryptographic primitives (block ciphers, stream ciphers, MACs and hash functions) play a very important role in secure communication. Since there is no method of formally proving that a cryptosystem is secure, there is no choice but to consider a cryptographic primitive secure if there are no known attacks against it. Thus, after a new cryptosystem is proposed (and before it is deployed), it should undergo extensive cryptanalytic effort to evaluate its resistance against known attacks, while trying to develop new techniques in order to break it. My main area of research is proposing new cryptanalytic techniques and applying them to both new and existing designs, focusing on algebraic techniques and analysis of generic constructions."

Tommaso Lorenzi

De nationalité italienne, a soutenu sa thèse au Departement of Mathematical Sciences, Politecnico di Torino. Il est actuellement post-doctorant à l'ENS Cachan.

Site perso : http://www.tommasolorenzi.com/

Accueilli au  Laboratoire Jacques Louis Lions

Résumé du projet :

"The project deals with differential and integro-differential equations relying on the formalism for structured populations and modelling the evolutionary dynamics of cancer cells, which express different phenotypic traits and are exposed to therapeutic actions. The project is devoted to define and study mathematical problems acting as in silico laboratories, where mechanisms that determine experimental results can be better understood. The mathematical interest lies in the formalism of constrained Hamilton-Jacobi equations within the framework of viscosity solutions. The aim is to characterize the longterm temporal dynamics of the traits."

Lilian Matthiesen *

De nationalité allemande, a soutenue sa thèse à l'université de Cambridge

Page perso : http://webusers.imj-prg.fr/~lilian.matthiesen/

Résumé du projet :

"The aim of my project is to investigate the interaction between combinatorial number theory and Diophantine geometry, which was successfully started in a recent collabora- tion with T. Browning and A. Skorobogatov. In the first instance, several natural generalisations emerging from this project will be considered. These concern weak approximation and the Hasse principle for varieties arising from norm form equations."

Nicolas Perkowski

De nationalité allemande, a soutenu sa thèse à l'Humboldt-Universität de Berlin

Résumé du projet :

"M. Gubinelli, P. Imkeller, and I recently developed a multi-parameter extension of rough path theory. Building on deep insights of M. Hairer, this was applied to make sense of some nonlinear SPDEs with multidimensional spatial index set - largely an open field. My project at Paris-Dauphine, together with M. Gubinelli, will focus on the further development of our theory and on its implications for nonlinear stochastic equations."

Mircea Petrache *

De nationalité italienne, a soutenu sa thèse à l'ETH de Zürich

Accueil : Laboratoire Jacques Louis Lions

Résumé du projet :

"Etudier le modèle de Ginzburg-Landau avec champ magnétique en dimension 3. Suite aux travaux importants de Baldo-Jerrard-Orlandi-Soner, il reste à faire pour étudier les filaments de vorticité en dimension 3 et adapter au cas espace-temps (dimension 2 en espace et 1 en temps) à la facon de Sandier-Serfaty, ce qui peut servir à terme à traiter la dynamique d'un grand nombre de vortex dans le modèle Ginzburg-Landau bi-dimensionnel, un important problème ouvert. L'analyse des filaments de vorticité, via la théorie des courants ou varifolds, demande des compétences importantes en théorie de la mesure géométrique, lesquelles j'ai developpè pendant la redaction de ma thése, qui concerne la regularité des courbures minimisant le fonctionnel de Yang-Mills en dimension supercritique."

Natan Rubin *

De nationalité israélienne, a soutenu sa thèse à l'université de Tel Aviv

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"The project addresses several fundamental problems in Discrete Geometry. I intend to revisit Geometric Transversals and tackle the celebrated weak epsilon-net problem. I also plan to explore the curious relation between point, line, and hyperplane transversals (which lies at the heart of my Ph.D. result on geometric permutations). In addition, I want to simplify and extend my very recent analysis of the Delaunay triangulation of moving points."

Henning Sulzbach

De nationalité allemande, a soutenu sa thèse au Goethe University of Frankfurt. Il est actuellement post-doctorant à McGill University de Montréal

Page perso : http://cs.mcgill.ca/~hsulzbach/

Accueil : Equipe projet RAP de Inria

Résumé du projet :

"My research plan consists of a further development of the method in particular with respect to random real trees as scaling limits of random trees. Here, we are mainly interested in left open problems from our joint work on the dual tree of recursive laminations of the disk and a more direct approach to this (and similar) problems not relying on the contour function. Another project is the development of the contraction method in function spaces with multiple parameters."

Beatrice-Helen Vritsiou

De nationalité grecque, a soutenu sa thèse à la National and Kapodistrian University d'Athènes. Elle est actuellement post-doctorante/Assistant Professor à l'University of Michigan

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"The starting point of my proposed research would be questions arising from the three papers I have authored or coauthored up to now. These include a number of basic questions about the distribution of volume in isotropic convex bodies. In two of the papers, the main results are reductions of the well-known hyperplane conjecture to the study of parameters which one can define for any isotropic convex body or any isotropic logarithmically-concave measure, and which seem worth studying in their own right as they give rise to new questions about the "shape" and geometry of the isotropic position. On the other hand, in the third paper we exploit basic properties of the isotropic position that are already known so as to give an alternative proof of the reverse Santaló inequality that makes use only of convex-geometric tools. The method introduced there can potentially be applied to give simpler proofs of other results as well which concern affine invariant parameters of convex bodies."

Alexandra Skripchenko

De nationalité russe, a soutenu sa thèse à Lomonosov Moscow State University

Accueil : Institut de Mathématiques de Jussieu

Résumé du projet :

"Studying of interval identification systems which are a kind of generalization of interval exchange transformations and interval translation mappings."

Mark Wilkinson

De nationalité anglaise, a soutenu sa thèse à l'Université d'Oxford. Actuellement post-doctorant/courant instructor au New-York University

Résumé du projet :

"Les cristaux liquides constituent une classe de systèmes de la physique de la matière condensée composés de particules élémentaires anisotropes. À cause de la complexité des modèles moléculaires, les modèles effectifs sont souvent préférés. En ce qui concerne les cristaux liquides nématiques, le Q-tenseur de Pierre-Gilles de Gennes est un paramètre d'ordre macroscopique approprié qui est populaire parmi les physiciens et dans l'industrie. Malgré le succès de ce paramètre d'ordre dans la domaine de la physique, sa justification mathématique rigoureuse n'est pas encore établie. Nous proposons de justifier le Q-tenseur, tout d'abord pour des systèmes de particules dilués et puis pour des systèmes denses. Nous utiliserons des techniques de limites thermodynamiques (pour obtenir un modèle cinétique à partir de la dynamique classique des molécules anisotropes), ainsi que des techniques de limites hydrodynamiques."

Liste des post-docs fléchés Interaction :

Fernando Garcia Gonzales

De nationalité espagnole, a soutenu sa thèse à l'universitat Politècnica de Catalogne

Projet Emergence, IMJ

Résumé du projet :

"It is devoted to the exhaustive study of the nonlinear dynamics of thermal convection in fast rotating spherical shells, for low Prandtl number fluids and non-slip boundary conditions. Tools of Dynamical Systems theory, largely and successfully applied to systems with few degrees of freedom, will be used. Improved numerical techniques will be applied in order to extend the range of parameters of previous studies."

Francesco Fanelli

De nationalité italienne, a soutenu sa thèse à SISSA (Trieste) / Université Paris-Est Créteil. Il est actuellement post-doctorant au Centro di Ricerca Matematica "Ennio De Giorgi" /Scuola Normale Superiore de Pise

Page perso : http://www.fanellifrancesco.altervista.org/

Projet Emergence, IMJ

Résumé du projet :

"I would like to study some partial differential equations coming from fluid-dynamics. In particular, I want to focus on the Euler system with variable density, in both the incompressible and compressible instances. I would like also to carry on the study of second order hyperbolic operators with variable (say non-Lipschitz) coefficients."

* post-docs pour 2 ans

### Laureates in 2012

David Anderson

De nationalité américaine, a soutenu sa thèse à l’université du Michigan. Il est actuellement post doctorant à l'IMPA

Page perso : http://w3.impa.br/~dave/

Thématique : Degeneracy loci and G2 flags

Résumé du projet:

« The proposed research will investigate the use of group actions on algebraic varieties to explore their topology and geometry. I plan to use localization techniques from equivariant cohomology and K-theory, as well as new ideas from the theory of jet schemes, to study Schubert varieties, toric varieties, and related spaces. In a different but related direction, the proposed project will include a study of the so-called "Newton-Okounkov bodies" of such varieties, with a view toward extending the correspondence between toric varieties and polytopes to more general varieties and convex bodies.»

Lilya Budaghyan

De nationalité arménienne, a soutenu sa thèse à la Otto-von-Guericke University Magdeburg, Allemagne. Elle est actuellement chercheur à l'Université de Bergen en Norvège.

Page perso : http://www.uib.no/ii

Thématique : Boolean Functions for Cryptography

Résumé du projet:

« Boolean functions are ubiquitous, occurring at the heart of virtually all known digital systems. The main aim of this projct is construction and analysis of Boolean functions for applications in cryptography. These Boolean functions are important to improve the security of modern communication systems. Many basic problems on cryptographic Boolean functions remain open and the goal is to solve fully or partially several of these open problems.»

Pablo Candela

De nationalité espagnole, a soutenu sa thèse à l’université de Cambridge. Il est actuellement au Alfréd Rényi Institute of Mathematics à Budapest.

Page perso : http://www.math.ens.fr/~candela/

Thématique
: Developments at the interface between combinatorics and Fourier analysis

Résumé du projet:

« The overall objective of this project is to contribute to arithmetic combinatorics and the related theory of higher-order Fourier analysis and its applications. One central direction involves investigating further the connection between nilmanifolds and the Gowers-Host-Kra uniformity norms, especially towards establishing new analogues, in higher-order Fourier analysis, of useful tools and results from classical Fourier analysis.»

Jaywan Chung

De nationalité coréenne, a soutenu sa thèse au KAIST (Korea Advanced Institute of Science and Technology). Post-doctorant au Department of Mathematial Sciences, KAIST.

Thématique : Moments determine long-time asymptotics for diffusion equations

Résumé du projet:

« The applicant is interested in evolution of a zero level set in partial differential equations. For a solution of one dimensional second order parabolic equations, number of zeros of the solution does not increase. In the project, the applicant will study some conditions under which nonincreasing property still holds for multi-dimensions. Also, issues on nonlinear PDEs and population dynamics will be dealt in a proper setting.»

Jaime Gaspar

De nationalité portugaise, a soutenu sa thèse à la Technical University of Darmstadt, Allemagne

Page perso : http://www.jaimegaspar.com/

Thématique : Proof interpretations: theoretical and practical aspects

Résumé du projet:

« Mathematicians commonly use an indirect method of proof, while a direct method is preferable. Proof interpretations are powerful tools in mathematical logic that transform indirect proofs into direct proofs. So far my research is confined to proof interpretations in the context of arithmetic. I plan to expand my research in proof interpretations to the largest of all contexts: set theory, the foundation of (almost) all mathematics. »

Alexander Getmanenko

De nationalité russe, a soutenu sa thèse à la Northwestern University USA. Il est actuellement au Kavli Institute for the Physics and Mathematics of the Universe

Page perso : http://db.ipmu.jp/member/personal/676en.html

Thématique : Resurgent analysis of the Witten Laplacian in One Dimension

Résumé du projet:

« Connections among Voros-Ecalle's resurgence, Algebraic analysis of Kashiwara-Schapira, and the Fukaya category. »

Alfredo Hubard

De nationalité mexicaine, a soutenu sa thèse à la New York University USA

Page perso : http://www.cims.nyu.edu/~hubard/

Thématique : Geometric Coincidences

Résumé du projet:

« We will work in applications of geometry and topology to combinatorics and algorithms. In particular we will focus on Turan-type results around embeddability of simplicial complexes and related combinatorial waist inequalities.»

De nationalité danoise a soutenu sa thèse à la Copenhagen University. Il est actuellement à Scuola Internazionale Superiore di Studi Avanzati

Thématique : A calculation of the multiplicative character on higher algebraic K-theory

Résumé du projet:

« The first aim is to show how the concept of joint torsion of commuting Fredholm operators developed by R. Carey and J. Pincus admits a far reaching generalization using the framework of determinant functors on triangulated categories as introduced by M. Breuning. The second aim is to show how the joint torsion can be computed by a local formula in the case of Toeplitz operators arising from tuples of holomorphic functions on the poly-disc. The local quantity is a product of tame symbols computed on a Riemann surface obtained by an intersection of zero-loci. »

Victor Lozovanu

De nationalité moldave et roumaine, a soutenu sa thèse à la Copenhagen University. Il est actuellement professeur au Queen's University de Kingston

Thématique : Multigraded Regularity and Asymptotic Invariants

Résumé du projet:

« My main work is in Algebraic Geometry and its connections to Commutative Algebra and Convex Geometry. The six labs associated to the Foundation have amazing groups in algebraic geometry. Besides S. Diverio, I would like to work with C. Peskine and S. Boucksom, to whom my work is very related. Both of them are at Institut de Mathématiques Université Pierre et Marie Curie. I would like to continue my projects on vanishing theorems, multigraded Castelnuovo-Mumford regularity, Okounov bodies and the volume function. And with the help and coordination of the people, I mentioned above, I believe that my work will be very successful.»

Camille Male

De nationalité française a soutenu sa thèse à l’ENS de Lyon. Il est actuellement chargé de recherche CNRS à l'Université Paris 5.

Thématique : Forte et fausse libertés asymptotiques de grandes matrices aléatoires

Résumé du projet :

« Je souhaiterai, dans mes projets de recherche à venir, continuer à développer la notion de distribution de trafics. Je souhaiterai introduire une famille d'objets que l'on pourrait qualifier de famille des trafics gaussiens, qui interpolerai de façon intrinsèque une variable aléatoire gaussienne et un opérateur semicirculaire. Je souhaiterai appliquer des techniques de calcul développées en thèse, de type méthode des moments, pour caractériser les vecteurs propres de certaines familles de matrices aléatoires. Je voudrais également revoir la théorie des matrices à bandes avec les outils des distributions de trafics.»

Todd Parsons *

De nationalité canadienne soutenu sa thèse l’université de Toronto

Page perso : http://www.proba.jussieu.fr/pageperso/parsons/

Thématique : Asymptotic Analysis of Some Stochastic Models from Population Dynamics and Population Genetics

Résumé du projet:

« Developing a mathematical framework to understand genomic evolution in the presence of neutral networks. Genomes are modeled as a graph, with one vertex for each genome, and edges connecting two genomes that differ by a single mutation. Phenotypes are assigned to genotypes by a random vertex coloring. A neutral network is a connected monochromatic subgraphs. I will consider finite populations, each of which has genotype that determines stochastic rates of birth, death an mutation. I will study the role of neutral networks in facilitating adaptive evolution and maintaining genetic diversity. I will also consider superprocess limits for large populations analogous to the Fleming-Viot model, as well as the dual historical process.»

Oliver Schaudt

De nationalité allemande a soutenu sa thèse à l’Université de Cologne. Il est actuellement à l'Institut für Informatik à l'Université de Köln

Page perso : http://www.zaik.uni-koeln.de/~schaudt/

Thématique : The Structure of Dominating Subgraphs

Résumé du projet:

« The envisaged project concerns a topic from graph theory, namely the well-studied concept of independence. I plan to study graphs that admit two disjoint maximal independent sets. This problem is motivated from the idea of building robust solutions to the independent set problem and it dates back to Berge and Erdös. My project is threefold: I aim to develop sufficient conditions for the existence of two disjoint maximal independent sets, give polynomial decision algorithms and investigate optimization aspects of the problem. »

De nationalité canadienne, a soutenu sa thèse à l’UC Berkeley, USA. Il est actuellement CLE Moore Instructor et NSF postdoctoral fellow au MIT

Page perso : http://math.berkeley.edu/~sobhan/research.htm

Thématique : C^0 Rigidity in Floer theory and Hofer geometry

Résumé du projet:

« My research is in the field of symplectic geometry. In particular, I am interested in $C^0$-symplectic geometry, Floer theory, Hamiltonian dynamics, and Hofer geometry. My thesis includes a uniqueness theorem for continuous Hamiltonian flows, which was proven in collaboration with L. Buhovsky, and results on $C^0$-continuity properties of Hamiltonian spectral invariants, the spectral metric, and the Hofer metric. I intend to continue my investigation of C^0-continuity properties of various Floer-theoretic and Hofer-geometric constructions.»

Paul Shafer

De nationalité canadienne, a soutenu sa thèse à l’UC Berkeley, USA. Il est actuellement post-doctorant au Département de mathématiques de l'Université de Ghent.

Page perso : http://www.liafa.univ-paris-diderot.fr/~pshafer/

Thématique : On the complexity of mathematical problems: Medvedev degrees and reverse mathematics

Résumé du projet:

« I study the relative complexity of mathematical problems in the context of Medvedev and Muchnik degrees of unsolvability. The Medvedev and Muchnik degrees formalize the problem B is computationally at least as hard as problem A," and much of my work has been toward characterizing the complexity of this relation by characterizing the complexity of the first-order theories of the Medvedev degrees, the Muchnik degrees, and their substructures. One main goal of the project is to characterize the complexity of the first-order theory of the effectively closed Muchnik degrees. Another goal of the project is to characterize the difficulty of randomness extraction in terms of Medvedev and Muchnik degrees.»

Shiquan Zhang *

De nationalité chinoise a soutenu sa thèse à la Sichuan University. Il est actuellement au Fraunhofer Institute for Industrial Mathematics.

Thématique : The research of new divergence-free finite element methods for Darcy-Stokes-Brinkman problems

Résumé du projet:

« The goal of the proposed research is to contribute to developing and analyzing of reduced basis methods based,
efficient algorithms for pore scale 3D simulations of Li-ion batteries. Special attention will be paid to the selection of the trail set, to the implementation, and to the analysis of the algorithms. Industrial partners will be involved in specifying the tasks,the range of the parameters, and in validation of the results. »

Qi Zhou

De nationalité chinoise, a soutenu sa thèse l’université de Nanjing

Page perso : http://www.proba.jussieu.fr/perso.php?id=349

Thématique : Asymptotic Analysis of Some Stochastic Models from Population Dynamics and Population Genetics

Résumé du projet:

« My future work will mainly include four parts. a)Spectral theory of Quasi-periodic Schr\"odinger operators (absolutely continuous spectrum, reguarity of IDS,) b) Renormalization (the parabalic behavior in the local or global regime,) c)Quasi-periodically forced circle diffeomorphism (linerazation the system with super-liouvillean frequency, and global linerazation results,) d)Elliptic low dimensional tori (exitence of llipticlow dimensional tori with liouvillean frequency.).»

* post-doctorats de deux ans

Programme Emergence

De nationalité chinoise, a soutenu sa thèse à l’Academy of Mathematics and Systems Science,Chinese Academy of Science

Thématique : Programme Emergence- Instabilités Hydrodynamiques

Résumé du projet:

« The ambition of our research program is to study the contact problem in fluid-solid dynamics within more realistic nonlinear models,Navier-Stokes/Newton(NS-N) system. The goal of the postdoc is twofold
1) To develop the Cauchy theory for (NS-N).
2) To establish the blow-up of solutions of (NS-N) through contact, in the slip case.).»

### Laureates in 2011

Stephen Becker (2 ans)

De nationalité américaine, a soutenu sa thèse au California Institute of Technology. Il est actuellement Assistant Professor à l'University du Colorado, Boudler

Page perso : https://www.ljll.math.upmc.fr/~becker/

Thématique : Optimisation et traitement de l'information

Résumé du projet : «The research program will be on efficient first-order methods for convex optimization problems that arise in signal processing. With my host Patrick Combettes, I will work on theoretical aspects of these methods, and in particular I will study the interplay between splitting and gradient methods. I also plan to work on applications and collaborate with several Paris-area researchers.».

De nationalité britannique, a soutenu sa thèse à l'Oxford University Computing Laboratory

Thématique
: Automates

Résumé du projet : «Collapsible pushdown automata (CPDA) provide a useful model of higher-order computation. Unfortunately they have a number of short comings. We propose an alternative model of computation called well-nested collapsible pushdown automata' that we believe to be more elegant and for which stronger properties should hold. We further believe that they are more expressive than CPDA and so could model a broader range of computational phenomena.».

Ben Davison (2 ans)

De nationalité britannique, a soutenu sa thèse à l'Oxford University

Thématique : Géométrie algébrique non commutative

Résumé du projet : « I intend to work on various projects in homotopical algebra, topology and geometry. In particular, I will be studying invariants of 3-Calabi-Yau categories, as well as the technical machinery required to extend our understanding of these categories to n-Calabi-Yau categories, for n greater than 3.».

Michael Emmi

De nationalité américaine, a soutenu sa thèse à l'University of California (LA).

Page perso : http://www.liafa.jussieu.fr/~mje/

Thématique : Vérification

Résumé du projet : «We investigate formal verification of computer software, including the development of formal models, correctness criteria, complexity analysis for the relevant verification problems, and practical algorithmic solutions. As today’s software is decreasingly likely to be executed sequentially, verification of concurrent software is a key problem.

Concurrent software is notoriously hard to design due to the high complexity of reasoning about intricate interactions of concurrent tasks. Systematic methods for formal reasoning are thus necessary. This project addresses the general problem of designing algorithmic formal verification methods to check the correctness of, detect inconsistencies in, and synthesize repairs for, concurrent programs. This is a very important and active research area, with challenging theoretical problems—e.g., establishing effective formal concurrency models and correctness criteria, establishing computational complexity results for the relevant verification problems—as well as challenging practical problems—e.g., developing efficient verification algorithms for concurrency libraries and concurrent applications.».

De nationalité israélienne, a soutenu sa thèse au Courant Institute (NY). Il est actuellement post-doctorant à l'Université d'Alberta au Canada.

Thématique : Analyse fonctionnelle

Résumé du projet : «This research program focuses on the local'' theory of Banach spaces: the study of properties which depend only on the structure of finite dimensional subspaces. One goal of this program is to have a better understanding of the relation between the (linear) notions of Rademacher type and cotype and their metric analogues. This is closely related to nonlinear embedding problems, which will also be studied. Another goal of the program is to study smoothing operators acting on Banach space valued functions, and their relation to Lipschitz extension problems.».

Alexander Lorz (2ans)

De nationalité allemande, a soutenu sa thèse à l'University of Cambridge (UK). Il est actuellement maître de conférence à l'UPMC.

Page perso : http://www.alexanderlorz.com/

Thématique : Mathématiques et Biologie

Résumé du projet : «We have already studied nonlocal Lotka-Volterra models arising to describe adaptation/mutations in populations. These models have the property that solutions concentrate as moving Dirac masses in the limit of small diffusion. During my postdoc, I would like to investigate: What are the dynamics of multiple Dirac masses? Is there a different scaling to obtain a completely local canonical equation? What would be a numerical method better adapted to these localized solutions? How can these models help to understand why resistances against drugs develop in therapeutic processes?».

Mei Ming

De nationalité chinoise, a soutenu sa thèse à l'Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences

Thématique : Equations aux dérivéees partielles, mécanique des fluides

Résumé du projet : «The two-fluid system problem consists of two superposed different incompressible fluids with surface tension on the interface. This problem is very interesting and difficult in physics and mathematics. Prof. D. Lannes and I plan to consider the long-time well-posedness (under certain scaling regimes) of two-fluid systems in which the upper or lower fluid has an infinite depth. We also want to prove that the two-fluid problem can be well approximated by the Benjamin-Ono equations in a proper time scale.».

Nicola Mazzari

De nationalité italienne, a soutenu sa thèse en 2010 à l'Universita degli studi di Milano. Actuellement maître de conférences à l'université de Bordeaux.

Thématique: Hodge theory for singular complex varieties

Accueil: Institut Mathématiques de Jussieur- Formes automorphes

Vitorrio Perduca (2 ans)

De nationalité italienne, a soutenu sa thèse à l'Università degli Studi di Torino

Thématique : Statistique Algébrique

Résumé du projet : «My research interests are algebraic geometry and algebraic and statistical methods in computer science and computational biology. My research plan is the study of Bayesian networks and random graphs, also using algebraic techniques, with applications in post-genomics. In particular, I would like to study new message propagation algorithms for BNs and investigate applications of the Stochastic Block Model for random graphs.».

Thomas Reichelt

De nationalité allemande, a soutenu sa thèse à l'Université de Mannheim. Il est actuellement post-doctorant à l'Université de Mannheim.

Thématique : Symétrie miroir

Résumé du projet : «This project aims at a deeper understanding of the various objects of mirror symmetry. In particular the relationship between the B-models of Calabi-Yau and Fano manifolds and their related non-commutative Hodge structures shall be investigated. This should give some information on the Betti structure and the maximal unipotent boundary point of the Calabi-Yau B-model.».

### Lauteates in 2010

Pierre Albin

De nationalité américaine, a soutenu sa thèse à l'université de Standford. Il est actuellement assistant professeur à l'Université de l'Illinois (Urbana-Champaign)

Page Perso : http://www.math.uiuc.edu/~palbin/

Thématique : Analyse microlocale et geometrie - the Gauss Bonnet Theorem and index theory on conformally compact manifolds

Résumé du projet : «This project will study both group actions and analytic torsion. The latter will be studied on asymptotically hyperbolic spaces by renormalized integrals and the pseudodifferential methods of Mazzeo and Melrose. The former will be studied using methods of Albin and Melrose that yield a new description of Borel's equivariant cohomology and a refined theory of delocalized' equivariant cohomology. It will benefit from the presence of experts like Profs. Bismut, Vergne, Skandalis, and Ma and the collaboration of Leichtnam, Guillarmou, and Mazzeo.».

Leif Doering (2 ans)

De nationalité allemande, a soutenu sa thèse à l'université de Berlin. Il est actuellement au département de mathématiques de l'ETH Zürich

Thématique : dynamique de poplulation

Résumé du projet : «The symbiotic branching model is a system of two stochastic pdes unifying the parabolic Anderson model from statistical physics, mutually catalytic branching from pure probability, and the stepping stone mode from genetics by a single correlation parameter. As those models behave very differently there are different regimes in the symbiotic branching model which can be attacked by different duality techniques. The existing techniques seem to be exhausted to prove further results. We aim at developing new techniques to study existence of solutions in higher dimensions, the exact wavespeed, and more precise convergence properties in law and pathwise.».

Michael Emmi

De nationalité américaine, a soutenu sa thèse à l'université de Californie - Los Angeles. Il a

Page perso : http://www.liafa.jussieu.fr/%7Emje/

Thématique : Vérification - Verifying High-Level Correctness in Low-Level Software

Résumé du projet : «Concurrent systems are hard to design due to the high complexity of their behaviors resulting on tremendously large and intricate interactions of their components. The project addresses the general issue of designing algorithmic formal verification methods for concurrent programs allowing to check their correctness and detect their inconsistencies. This is a very important and active research area, with challenging problems both from the theoretical point of view (e.g., formal modeling and specification framework, expressiveness and decidability issues, computational complexity of the considered problems) and the practical point of view (e.g., algorithmic issues, efficient techniques for reducing the size of the problems, etc)».

Florian Heiderich (2 ans)

De nationalité allemande, a soutenu sa thèse à l'université de Barcelone. Il est actuellement post-doctorant à l'Université de Moscou

Page perso : http://www.math.jussieu.fr/%7Eheiderich/

Thématique : the?orie de Galois diffe?rentielle

Résumé du projet : « We developed a unified general Galois theory including the non-linear differential and difference Galois theories of Umemura and Morikawa. The proposed project includes further

generalizations as well as arithmetical applications: We are going to study the arithmetic of discrete dynamical systems in positive characteristic and the behavior of our Galois group under specialization and lifting-questions. Further we are going to show how our theory specializes to the linear theories of André and Hardouin and to strongly normal extensions in characteristic p defined by Moreno. »

Miyoun Jung

De nationalité coréenne, a soutenu sa thèse à l'UCLA. Elle est actuellement Professor Assistant au Département de Mathématiques au Hankuk University of Foreign Studies.

Thématique : Calcul scientifique et imagerie Image restoration and segmentation in a variational framework

Résumé du projet : «The first project is to develop methods based on minimal paths approach, for automatic detection and extraction of blood vessels in placenta images or for automatic tracking of 3D neurons. This can help increase efficiency and reduce costs for emerging placental or neural researches. The second project is to formulate curvelet based nonlocal methods with applications to image processing problems such as image denoising, image inpainting as well as compressive sensing.».

Manish Patnaik

De nationalité américaine, a soutenu sa thèse à l'université de Yale. Il est actuellement Professeur Assistant à l'Université d'Alberta, Canada.

Page perso : http://www.ualberta.ca/~patnaik/

Thématique : Formes automorphes

Résumé du projet : «We are interested in the theory of automorphic forms on certain infinite dimensional groups called loop groups. Garland has developed the analytic theory of Eisenstein series for such groups, and we are investigating the connections between this work and the usual theory of automorphic forms on finite dimensional groups. Recently with Braverman and Kazhdan, we have been studying the local theory of Hecke algebras on p-adic loop groups. This work exhibits strong parallels with the work of Schiffmann and Vasserot on Hall algebras of elliptic curves. Our proposal is to study the precise connection between our two works. Doing so is expected to shed light on a number of questions, and especially on a certain mysterious modularity phenomenon which underlies much of the theory of automorphic forms on loop groups.».

De nationalité espagnole, a soutenu sa thèse à l'université de Barcelone

Thématique : équations aux dérivées partielles - Analysis of several kinetic and diffusive models in physics and mathematical biology

Résumé du projet : «We aim to study some kind of Fokker-Planck equations with non-linear drifts. Namely we are interested in a equation of the form $$frac{d}{dt} f=nablacdot(nabla f + vf(1+f))$$, which models the behavior of a cloud of Bosonic particles. In high dimensions blow-up may occour for this equation. In order to acquire some understanding of the concentration phenomena, we consider a simplified model in which the nonlinearity has a simple homogeneity: $$frac{d}{dt} f=nablacdot(nabla f + vf^p)$$.».

Augusto Teixeria (2ans)

Lauréat 2010 du Fonds AXA pour la Recherche.

De nationalité brésilienne, a soutenu sa thèse à l'ETH Zurich.

Page perso : http://w3.impa.br/~augusto/

Thématique : marches aléatoires

Résumé du projet : «During the next years, I will continue performing research in the ?eld of probability theory. More speci?cally, I plan to continue the study of random interlacements. During the last two years there has been an intense investigation of this model and its relations with random walks on: discrete tori, discrete cylinders and random d-regular graphs. The random interlacements model offers a big variety of relevant open questions which are expected to be answered in the close future, some of which I already have a clear idea on how to approach.»

### Laureates in 2009

Diogo Arnsenio (2 ans)

De nationalité portugaise et suisse, a soutenu sa thèse à la New York University (USA). Il est actuellement chargé de recherche CNRS, IMJ équipe fonctionnelle

Page perso : http://af.institut.math.jussieu.fr/membres

Thématique : Limite hydrodynamique

Accueil : Département de Mathématiques et Applications – UMR 8553 CNRS – ENS, Laboratoire Jacques-Louis-Lions – UMR 7598 CNRS, UPMC

Résumé du projet : « The proposed scientific plan studies fluidodynamic limits of classical (Boltzmann) and quantum (Fermi-Dirac, Bose-Einstein) kinetic equations and of models for superconductivity (Ginzburg-Landau). It contains the following projects: 1)Mild solutions of Boltzmann's equation 2)Long range interactions and smoothness estimates 3)Kinetic models for superfluids 4)Hydrodynamic limit of Boltzmann towards incompressible Euler 5) Limiting vorticities with prescribed behavior for the Ginzburg-Landau equations. »

Chetan Balwe (2 ans)

De nationalité indienne, ll a soutenu sa thèse à l'University of Pittsburgh (USA). Il est actuellement professeur à l'Université de Pittsburg.

Thématique : Géométrie algébrique

Accueil : Département de Mathématiques et Applications – UMR 8553 CNRS - ENS

Résumé du projet : « My Ph.D. dissertation extends the theory of geometric motivic integration to Artin n-stacks. However, there are other variants of the theory of motivic integration, such as arithmetic motivic integration. Arithmetic motivic integration and geometric motivic integration are unified via the theory of constructible functions as developed by Cluckers and Loeser. I propose to attempt to extend those methods to Artin stacks as well. »

Jacopo de Simoi

De nationalité italienne, ll a soutenu sa thèse à l'University of Maryland, College Park (USA). ERC Research Associate in Mathematics jusqu'en 2013, project Macroscopiec Laws and Dynamical Systems (ERC Adg Malady 246953). Il est actuellement post-doctorant à l'Université de Toronto - Mississauga

Page perso : http://www.math.toronto.edu/jacopods/

Thématique : Measure of escaping

Accueil : Institut de Mathématiques de Jussieu - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « I plan to further improve the results I am obtaining in my Ph.D. thesis about the measure of escaping orbits in a infinite measure dynamical system, and apply them to concrete Hamiltonian Systems (such as some $n$-body problems). Moreover, some of the results can also be used to study the dynamics of the standard map, and I plan to further investigate such ideas. »

Benjamin Graham (2ans)

De nationalité britannique, ll a soutenu sa thèse à l'University of Cambridge (UK). Il est actuellement Professeur-Assistant à l'Université de Warwick.

Thématique : Percolation

Accueil : Département de Mathématiques et Applications – UMR 8553 CNRS - ENS

Résumé du projet : « Statistical mechanics is the branch of physics that seeks to explain the properties of matter that emerge from microscopic scale interactions. Most models are not exactly solvable. Simple local interactions produce complex long range behaviour. I hope to investigate topics including percolation, the random-cluster model, the Ising and Potts models, Voronoi percolation, first passage percolation, and the self avoiding walk. »

Publications en lien avec le post-doc :

-Helffer-Sjöstrand representation for conservative dynamicswith Thierry Bodineau -Proceedings of IRS 2010, Markov Processes and Related Fields
- Sublinear variance for directed last passage percolation - Journal of Theoretical Probability
- Borel type bounds for the self-avoiding walk connective constant Figure: The oscillating coefficients of the spherical model series expansion -Journal of Physics A: Mathematical and Theoretical 43:235001, 2010

Autres publications :
- Sharp thresholds for the random-cluster and Ising models with Geoffrey Grimmett -Annals of Applied Probability, 21(1):240-265, 2011
- Rate of relaxation for a mean-field zero-range process Animation: The empirical distribution: one million boxes, and twenty balls per box - Annals of Applied Probability, 19(2):497-520, 2009
- Influence and sharp-threshold theorems for monotonic measures with Geoffrey Grimmett -Annals of Probability, 34(5):1726-1745, 2006(In Beffara & Duminil-Copin, Theorem 2.10 is used to show: "The self-dual point of the two-dimensional random-cluster model is critical for q?1")
-Random-current representation of the Blume-Capel modelwith Geoffrey Grimmett

Toan N'Guyen

De nationalité vietnamienne, ll a soutenu sa thèse à l'indiana University (USA). Prager Assistant Professor à l'Université de Brown jusque fin 2012, il est actuellement Assistant Professor au Penn State University

Page perso : http://www.toannguyen.org/

Thématique : EDP hyperbolique, Long-time stability of viscous boundary layers

Accueil : Institut de Mathématiques de Jussieu - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « One-and multi-dimensional asymptotic stability of arbitrary-amplitude noncharacteristic viscous boundary layers of gas dynamics and magnetohydrodynamics equations ».

Paolo Rossi

De nationalité italienne, ll a soutenu sa thèse au Sissa, Trieste, Italie. il est désormais maître de conférence à l'université de Bourgogne et bénéficie d'une Chaire CNRS.

Page perso : http://rossi.perso.math.cnrs.fr/cv.html

Thématique : Symplectic Field Theory, Gromov-Witten theory and Integrable Systems

Accueil : Institut de Mathématiques de Jussieu, Géométrie algébrique complexe- UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « I propose to continue the study of the relation between Symplectic Field Theory, Gromov-Witten theory and Integrable Systems, both in general and in specific examples in higher dimensions than the already considered target (orbi)curves case. Moreover I plan to extend my Mirror Symmetry results to a more general class of target orbicurves and related Landau-Ginzburg models. »

Robin Ryder

De nationalité française, il a soutenu sa thèse à l'University of Oxford (UK). Actuellement, maître de conférence à Paris Dauphine.

Page perso : http://robinryder.wordpress.com (blog) / https://www.ceremade.dauphine.fr/~ryder/

Thématique : Statistique Bayésienne

Accueil : Centre de Recherche en Mathématiques de la Décision de l’Université Paris-Dauphine – UMR 7534 CNRS Dauphine

Résumé du projet : « Approximate Bayesian Computation (ABC) is a likelihood-free statistical estimation method. It is of particular use for complex models for which the likelihood cannot be computed. It has potential to be used in a wide variety of contexts, but refinement work is still needed. In particular, research is needed on the selection of appropriate statistics of the data to be used to estimate model parameters. It is also necessary to adapt other statistical methods in order to increase the otherwise very low acceptance rate in the algorithm. »

Britta Späth

De nationalité allemande, elle a soutenu sa thèse au Kaiserlautern. Elle est actuellement maître de conférence au Technische Universität de Kaiserslautern

Accueil : Institut de Mathématiques de Jussieu, Equipe des Groupes Finis - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « The project is located in the representation theory of finite groups. Its aim is a step towards the proof of the McKay conjecture for all groups and the MAKRODINU conjecture for reductive groups. These conjectures relate the local with the global structure of groups. Because of a recent reduction theorem of Isaacs, Malle and Navarro the simple groups of Lie type play a key role in the proof of the McKay conjecture. A major step in the proofs for the reductive groups is a better understandig of the respresentation theory of groups defined by special tori, the $Phi_d$-tori of the related algebraic groups. »

Sarah Sherotzke (2 ans)

De nationalité allemande, elle a soutenu sa thèse à l'University of Oxford (UK). Elle est actuellement post-doctorante à l'Université de Bonn.

Page perso : http://www.math.uni-bonn.de/people/sarah/

Thématique : Classification of tensor categories

Accueil : Institut de Mathématiques de Jussieu, Equipe des Groupes Finis - UMR 7586 CNRS, UPMC, UPD

Résumé du Projet : « I plan to work on the classification of tensor categories. Recently published papers by Deligne and Knop provide a new perspective on tensor categories. The first step for me will be to develop new constructions for tensor categories, especially for such tensor categories which are not semi-simple. This would extend the work of Deligne and Knop. The main interest is to understand such categories more generally for fields of arbitrary characteristic and work towards a classification of tensor categories.As a second project I also plan to analyse Auslander-Reiten components of bounded derived categories."

Noam Zeilberger (2 ans)

De nationalité américaine, il a soutenu sa thèse à la Carnegie Mellon University (USA).

Page perso : http://noamz.org/

Accueil : Laboratoire Preuves, Programmes et Systèmes - UMR 7126 CNRS, UPD P7

Résumé du Projet : « My thesis work was originally motivated by the desire to explain some anomalies in so-called re?nement type systems for functional programming languages like ML. These systems incorporate richer types, such as intersections and unions, to allow programmers to express and automatically verify stronger invariants of their data structures and algorithms. But the presence of side-effects (e.g., mutable storage, callcc) in languages like ML leads to some strange type-theoretic artifacts, unanticipated from the standard (and quite old) theory of intersection types...”

### Laureates in 2008

13 nouveaux post-doctorants ont été retenus parmi 86 candidats, dont 20 sont de formation doctorale française.

Seuls deux des candidats retenus ont soutenu leur thèse en France.

De nationalité suédoise, il a soutenu sa thèse à l'IMPA, Brésil.

Accueil : Département de Mathématiques et Applications – UMR 8553 CNRS - ENS

Résumé du projet : “This project aims at expanding our understanding of differentiable dynamics as seen from the statistical viewpoint, by establishing existence and finitude of physical measures for large classes of dissipative systems. Focus lies on generic partially hyperbolic systems for which any kind of of non-uniform hyperbolicity is either hard to detect or non-existent.”

Laurent Goergen

De nationalité luxembourgeoise, il a soutenu sa thèse à l'ETH Zurich. Il exerce désormais au sein de l’autorité de régulation des marchés financiers du Luxembourg.

Accueil : Laboratoire de Probabilités et Modèles Aléatoires - UMR 7599 CNRS, UPMC, UPD P7

Résumé du projet : « As a further development of our work on diffusions in random environment, we propose to improve the socalled effective criterion for ballistic behaviour and examine the conjecture that the conditions (T_gamma) for gamma in (0, 1] are all equivalent. Still in the domain of random environments, we intend to study random walk in random potential and explore its analogies with directed polymers. In particular, we would like to show diffusive behaviour of the walks end point when forced to reach a distant hyperplane in the low disorder regime and in dimension larger than three. Finally we would like to apply ideas from last passage percolation and directed polymers to the study of the flux function governing the hydrodynamic limit of the totally asymmetric simple exclusion process with site disorder. »

Ignacio Lopez Franco

De nationalité uruguayenne, il a soutenu sa thèse au Trinity College, University of Cambridge (UK)

Il est actuellement « Research Fellow », au Gonville and Caius College, University of Cambridge.

Page perso : https://www.dpmms.cam.ac.uk/~ill20/

Thématique : Higher dimensional category theory, in particular monoidal bicategories and applications.

Accueil : Laboratoire Preuves, Programmes et Systèmes - UMR 7126 CNRS, UPD P7

Résumé du projet « My broad interest is in higher dimensional category theory, in particular monoidal bicategories and applications. During my PhD I have been working on the relationship between higher categories and Hopf algebras. Higher categories are higher dimensional analogues of categories, in the same way as homotopies are of higher dimension than curves. Categories of higher dimension have been the subject of intense study in recent years because of their potential applications. »

Publication durant son post-doc :

- López Franco, Ignacio ; Street, Ross ; Wood, Richard J. Duals invert. Appl. Categ. Structures 19 (2011), no. 1, 321--361.

- López Franco, Ignacio L. Formal Hopf algebra theory. II. Lax centres. J. Pure Appl. Algebra 213 (2009), no. 11, 2038--2054.
- Ferrer Santos, Walter ; López Franco, Ignacio . Monoidal categoriesof comodules for coquasi Hopf algebras and Radford's formula.
Algebras, representations and applications, 107--135, Contemp. Math., 483, Amer. Math. Soc., Providence, RI, 2009.
- López Franco, Ignacio L. Formal Hopf algebra theory. I. Hopf modules for pseudomonoids. J. Pure Appl. Algebra 213 (2009), no. 6, 1046--1063.

Ruochuan Liu

De nationalité chinoise, il a soutenu sa thèseau MIT (USA). Il est actuellement assistant-professeur à l'Université du Michigan

Page perso : http://www-personal.umich.edu/%7Eruochuan/

Accueil : Institut de Mathématiques de Jussieu, Equipe Formes automorphes - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « My current research focuses on the theory of (?, ?)-modules and some related questions from the theory of p-adic differential equations. In the first part of my thesis, I proved the Euler-Poincaré characteristic formula and Tate local duality for (?, ?) -modules over the Robba ring. The second part of my thesis concerns slope filtrations in family. »

Sophie Morier-Genoud

De nationalité française, elle a soutenu sa thèse à l'Université Claude Bernard Lyon1. Elle a été recrutée en 2009 en qualité de Maître de Conférence à l’Université Pierre-et-Marie-Curie.

Accueil : Institut de Mathématiques de Jussieu - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « Le premier projet de recherche concerne les antialgèbres de Lie d'Ovsienko. Ce sont des nouvelles structures introduites en 2007 par Ovsienko. On se propose d'Ètudier ces structures en développant les notions classiques de théorie de représentations (e.g algèbres enveloppantes, extension centrale ...).Le deuxième projet se propose d'utiliser la combinatoire de la base canonique de Kashiwara-Lusztig dans deux problèmes distincts. L'un propose de généraliser des constructions de variétés miroirs via dégénéréscences toriques de variétés dues à Batyrev et al. L'autre propose une étude algébrique de la théorie des cristaux continus récemment introduites par Biane, Bougerol, O'Connell en termes de mouvement Brownien. »

Leonardo Trivellato Rolla (2 ans)

De nationalité brésilienne, il a soutenu sa thèse à l'Instituto de Matemática Pura e Apliada. Il est actuellement post doctorant à l'IMPA (Instituto Nacional de Matemática pura e aplicada)

Page perso : http://mate.dm.uba.ar/~leorolla/

Accueil : Département de Mathématiques et Applications – UMR 8553 CNRS - ENS

Résumé du projet : “I intend to continue research on the topics: Geometric and analytic techniques for the first and last passage percolation models; Relaxation times for Glauber dynamics at zero and positive temperature; Interacting random walk models. At the same time I intend to extend my research in the areas of my recent interest: Behavior of critical and near-critical percolation and Ising model; Multiscale techniques for critical processes in dimensions three and more; Self-interacting random walks and random walks in random environment. This proposal involves a broad collection of challenging problems concerning percolative systems. SLE techniques and multiscale arguments may be crucial for their solution. Multiscale techniques are very powerful but their use is still quite limited. I believe this situation can be improved.”

Alfonso Sorrentino

De nationalité italienne, il a soutenu sa thèse à la Princeton University (USA). Il est actuellement professeur associé au département de mathématiques à l'Université degli study di Roma "Tor Vergata"

Accueil :Centre de Recherche en Mathématiques de la Décision de l’Université Paris-Dauphine – UMR 7534 CNRS DAUPHINE

Résumé du projet : “My research interests are in the field of dynamical systems and particularly in the study of Lagrangian and Hamiltonian dynamics (Aubry-Mather and Weak KAM theory) and their interplay with symplectic topology. As a Postdoctoral fellow at the Centre de Recherche en Mathematiques de la Decision de l'Université Paris- Dauphine, I intend to continue my study on the structure of the action minimizing sets. A better comprehension of their topological properties, in fact, would provide a more clear picture of the balance between stable and unstable motions and a new understanding of the nature of Hamiltonian systems and the onset of chaos in classical mechanics. In particular I would extremely interested in collaborating with Prof. Patrick Bernard, whose work has deeply influenced mine so far.”

Britta Späth

De nationalité allemande, elle a soutenu sa thèse au Kaiserlautern. Elle est actuellement maître de conférence au Technische Universität de Kaiserslautern

Accueil : Institut de Mathématiques de Jussieu, Equipe des Groupes Finis - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « The project is located in the representation theory of finite groups. Its aim is a step towards the proof of the McKay conjecture for all groups and the MAKRODINU conjecture for reductive groups. These conjectures relate the local with the global structure of groups. Because of a recent reduction theorem of Isaacs, Malle and Navarro the simple groups of Lie type play a key role in the proof of the McKay conjecture. A major step in the proofs for the reductive groups is a better understandig of the respresentation theory of groups defined by special tori, the $Phi_d$-tori of the related algebraic groups. »

Juraj Stacho

De nationalité slovaque, il a soutenu sa thèse à la Simon Fraser University, Canada. Il est actuellement Post-doctorant au Department Industrial Engineering and Operations Research de l'Université de Columbia, New-York

Page perso : http://www.cs.toronto.edu/%7Estacho/

Accueil :Laboratoire d'Informatique Algorithmique : Fondements et Applications – UMR 7089 CNRS, UPD

Résumé du projet : “We would like to study generalised colouring and constraint satisfaction problems on graphs and relationalstructures. We want to focus on structural and complexity results, in particular, prove the so-called complexity dichotomies for these problems in selected cases. Our ultimate goal is to prove the well-known Dichotomy Conjecture which states that every constraint satisfaction problem is either polynomial time solvable or NPcomplete. This conjecture has been open for almost two decades, and it has been a driving force in many recentdevelopments in algorithmic and structural graph theory.”

Todor Tsankov (2ans)

De nationalité bulgare, il a soutenu sa thèse au California Institute of Technology (USA). Il a été recruté en 2009 en qualité de Maître de Conférence à l’université Paris 7 Paris-Diderot.

Page perso : http://webusers.imj-prg.fr/~todor.tsankov/

Accueil : Institut de Mathématiques de Jussieu, Equipe d’Analyse Fonctionnelle - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : “My main interests are in descriptive set theory and its connections with ergodic theory and analysis. I am interested in Polish groups, their actions, and the induced orbit equivalence relations. A large part of my dissertation work is in the theory of countable Borel equivalence relations and, more specifically, orbit equivalence of measure-preserving group actions. In Paris I would be excited to work with Alain Louveau and his colleagues from l'Equipe d'Analyse Fonctionnelle as well as collaborate with set theorists from l'Equipe de Logique Mathématique.”

Zhiqiang Wang (2 ans)

De nationalité chinoise, il a soutenu sa thèse à la Fudan University.

Il est actuellement professeur associé (School of Mathematical Sciences, Fudan University, Shanghai, China.)

Page perso : http://homepage.fudan.edu.cn/zqwang/

Accueil : Laboratoire Jacques-Louis-Lions – UMR 7598 CNRS, UPMC

Résumé du projet : « I will go on to study: 1)global exact controllability and observability for more general hyperbolic systems with application to the related physical models; 2)essential relationship among exact controllability, observability and stability for quasilinear hyperbolic system; 3)corresponding problems in high space dimension. I want to learn some approaches to deal with control problems for nonlinear equations from Professor CORON. I am also interested in flow control problems and hope to understand more about it. »

Publications :

1. Jean-Michel CORON, Olivier GLASS, Zhiqiang WANG, Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed, SIAM J. Control Optim., 48 (2009), 3105--3122.
2. Lina GUO, Zhiqiang WANG, Exact boundary observability for nonautonomous quasilinear wave equations, J. Math. Anal. Appl., 364 (2010), 41--50.
3. Tatsien LI, Bopeng RAO, Zhiqiang WANG, Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions, Discrete Contin. Dyn. Syst., 28 (2010), 243--257.
4. Jean-Michel CORON, Matthias KAWSKI, Zhiqiang WANG, Analysis of a conservation law modeling a highly re-entrant manufacturing system, Discrete Contin. Dyn. Syst. Ser. B, 14 (2010), 1337--1359.
5. Peipei SHANG, Zhiqiang WANG, Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system, J. Differential Equations, 250 (2011), no. 2, 949--982.

Stephan Wehril (2ans)

De nationalité suisse, il a soutenu sa thèse à l'Université de Zurich. Actuellement assistant professeur à l'Université de Syracuse.

Accueil : Institut de Mathématiques de Jussieu - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « My field of research is knot theory and more specifically Khovanov homology. Khovanov homology is a new link invariant which generalizes the Jones polynomial and which can be seen as a combinatorial substitute for gauge theory. In my research work, I investigate algebraic and structural properties of Khovanov homology. I am also interested in the relation between Khovanov homology, Heegaard Floer homology and quantum invariants of three-manifolds. »

Benjamin Wilson

De nationalité australienne il a soutenu sa thèse à l’université de Sidney. Il est actuellement post-doctorant à l'Université de Californie, San Diego

Accueil : Institut de Mathématiques de Jussieu, Equipe d’Analyse Fonctionnelle - UMR 7586 CNRS, UPMC, UPD

Thématique : Groupes de Lie

Projet : « I am interested broadly in representation theory, mathematics arising from conformal field theory, theoretical computer science and the philosophy of mathematics. My area of expertise is the representation theory of infinite-dimensional Lie algebras. I have focused, in particular, upon imaginary highest-weight representation theory, representations of polynomial Lie algebras, and exponential-polynomial representations. There are three research project, alla concerning the representation theory of Lie algebras ».

### Laureates in 2007

En 2007, 4 post-doctorants ont été retenus sur 33 candidats.

Pandelis Dodos

De nationalité grecque, il a soutenu sa thèse à l’université d’Athènes. Il a depuis lors été recruté en 2008 en qualité de Professeur à l’Université d’Athènes.

Page perso : http://users.uoa.gr/~pdodos/

Thématique : Interaction entre la théorie des Ensembles, l’Analyse et la Topologie

Accueil : Institut de Mathématiques de Jussieu, Equipe d’analyse fonctionnelle - UMR 7586 CNRS, UPMC, UPD

Résumé du projet : « We plan to investigate the interactions between Set Theory (mainly Descriptive Set Theory and Combinatorial Set Theory) and Analysis and Topology. In particular, we plan to study problems of the Geometry of Banach spaces, Polish groups, topological spaces related to Banach spaces and ideals on N. Specific projects include, among others, the investigation of strongly bounded classes of separable Banach spaces. »

Immanuel Halupczok (2ans)

De double nationalité française et allemande, il a soutenu sa thèse à l’université de Freiburg. Il est actuellement professeur à l'université de Leeds.

Page perso : http://www.immi.karimmi.de/fr.math.html

Thématique : L’intégration motivique

Accueil :Département de Mathématiques et Applications - UMR 8553 CNRS - ENS

Résumé du projet : « Pour p suffisamment grand, les corps Q_p et F_p((t)) se ressemblent. Pour certains énoncés qui disent cela d'une manière précise, on connaît des bornes explicites pour p; pour d'autres, on n'en connaît pas encore. Le premier but du projet et de trouver des bornes dans les cas où on ne les connaît pas encore; le deuxième but est d'améliorer les bornes connues. Pour le deuxième but, la méthode principale va être d'améliorer les algorithmes connus pour l'élimination des quantificateurs et la décomposition cellulaire dans des corps valués Henséliens à caractéristique résiduelle zéro. »

Edouard Maurel-Ségala (2 ans)

De nationalité française, il a soutenu sa thèse à l’ENS Lyon. Il a été recruté en 2009 en qualité de Maître de Conférence à l’Université Paris XI - Orsay.

Page perso : http://www.math.u-psud.fr/%7Eemaurel/

Thématique : Autour des limites de grandes matrices aléatoires gaussiennes

Accueil : Laboratoire de Probabilités et Modèles Aléatoires - UMR 7599 CNRS, UPMC, UPD P7

Résumé du projet : « J'aimerais continuer à m'intéresser aux grandes matrices aléatoires comme j'ai commencé à le faire dans ma thèse. La combinatoire qui apparaît de manière naturelle dans ces modèles soulève encore de nombreuses questions ouvertes. Dans la continuité de ces idées, j'aimerais étudier les liens crées par la physique théorique entre matrices aléatoires et géométrie. Liens souvent encore mal compris d'un point de vue mathématique. Une autre thématique qui me tient à coeur est l'étude de systèmes de particules en lien avec les valeurs propres de matrices aléatoires dynamiques, que ce soit d'un point de vue macroscopique ou microscopique avec l'étude du processus de plus grande valeur propre. »

Damiano Mazza

De nationalité Italienne, il a soutenu sa thèse à l'Université d'Aix-Marseille 2, à l'Institut de Mathématiques de Luminy. Il a été reçu au CNRS au titre du concours 2008 de Chargé de recherche (Section 07 – informatique fondamentale). Il est actuellement chargé de recherche au laboratoire d'informatique de Paris Nord

Page perso : http://www-lipn.univ-paris13.fr/%7Emazza/

Thématique : Sémantique de modèles du calcul concurrent basés sur la logique linéaire

Accueil : Laboratoire Preuves, Programmes et Systèmes - UMR 7126 CNRS, UPD P7

Résumé du projet : « Depuis longtemps on aspire à rapprocher le calcul concurrent de la logique, de manière similaire à la correspondance de Curry-Howard pour la programmation fonctionnelle. Récemment, les travaux de Ehrhard et Laurent sur les réseaux d'interaction différentiels ont relancé le mouvement dans cette direction. A partir d'un résultat de séparation obtenu récemment avec Michele Pagani, ainsi que de mes travaux sur les réseaux multiport, et en adaptant les objets que j'ai développé pour interpréter les combinateurs d'interaction de Lafont (les "édifices"), nous proposons de développer une étude sémantique des réseaux différentiels, afin de définir des nouveaux systèmes logiques (dans le style de ludique) capables d'étendre Curry-Howard à la concurrence. »

Publication en lien avec son post-doc :

Damiano Mazza. Observational Equivalence and Full Abstraction in the Symmetric Interaction Combinators. Logical Methods in Computer Science, 5(4:6), 2009.

Autre publication :

Patrick Baillot and Damiano Mazza. Linear Logic by Levels and Bounded Time Complexity. Theoretical Computer Science, 411(2):470-503, 2010.

Voir une vidéo de Damiano Mazza à l'occasion de la conférence Mathématiques en Mouvement 2009 :