Analytic Number Theory
Quantum mechanics, statistical physics, infinite ergodic theory, single molecule dynamics in the cell environment
Algebraic Geometry, Periods of motives
Algebraic Groups, Spherical varieties
Weak crystallization, low-dimensional electronic systems, charge density waves, spatio-temporal processes in nano-junctions, dynamical phase transitions and self-focusing of optically pumped excitons
Reacting flows - modelling and simulations, reaction wave dynamics, chemical kinetics, model reduction, singular and regular perturbation theory
Number theory
Polymer physics, statistical physics, networks, fractals, dendrimers
Statistical physics of disordered systems, spin glasses, replica theory, directed polymers in random environment
Approches numériques en matières molles et systèmes biologiques
Quantum algebra: quantum groups, quantum (quasi-)shuffle algebras
Lie theory and algebraic combinatorics: bases in Lie algebras and quantum groups, degenerations of flag varieties, total positivity
Random walks, anomalous transport
Tilings, namely in the following issues: Flip spaces, Aperiodic tilings, Quasicrystals, Random tilings
Diophantine geometry, Drinfeld modules, abelian varieties
Extreme statistics in Bose-Einstein condensates, dynamics of excitations following Quantum Quench, Kardar-Parisi-Zhang evolution of one-dimensional interacting bosons.
Strongly correlated systems. Ultracold atoms. Integrable models of Mathematical Physics.
Max-plus algebra, tropical convexity, dynamic programming, discrete event dynamic systems, non-linear Perron-Frobenius theory
Representation Theory, Cluster Algebras, Number Theory
Mathematical logic, category theory, automated reasoning
Algebraic Geometry, Coding Theory, Combinatorics, Commutative Algebra
Mathematical physics, Topology, Algebra
Nonclassical logics, inquisitive logic, intuitionistic logic, modal logic, model theory, logic and games
Statistical mechanics, out-of-equilibrium systems, stochastic processes in random media
Smooth and Hamiltonian dynamical systems, celestial mechanics, planar billiards, spectral rigidity
Theoretical condensed matter physics, disordered systems and glasses, field-theoretical treatment of many-body systems, mesoscopic systems, out of equilibrium systems
Representation theory of quantum groups, Cluster algebras
Geometric analysis, spectral geometry, algebraic geometry
Quantum field theory, String theory, Integrability, Matrix models
Theoretical and Mathematical Physics, Classical and Quantum Field Theory, Elementary Particle Physics, Condensed Matter Physics (glass and quasicrystals), Gravitation and Cosmology, Mathematical Biology, Mechanics of continuous media
Spectral geometry, Extremal eigenvalue problems, Harmonic maps, Moduli spaces
Algebraic geometry, birational geometry, and existence of "good models".
PDE and dynamical systems
Complex systems, out of equilibrium physics and irregular geometries
Asymptotic problems on global fields, zeta-functions, error-correcting codes, sphere packings...
Higher dimensional class field theory and class field towers; Zeta functions; Explicit methods in arithmetic
Anderson t-motives, lattices, uniformizability
Mathematical modeling of epidemics spreading on networks
Representation theory and its connections to Algebraic and Symplectic geometry and Combinatorics
Mathematical Physics, Statistical Physics, Fluid Dynamics, Stochastic processes, Gravitational Lensing
Nonequilibrium Statistical Physics
Functionals of Brownian Motion
Statistical properties and their applications in physics and computer science.
Sorting and Search Algorithms in Computer Science
Understanding the asymptotic properties of random structures such as search trees in computer science using methods of statistical physics.
Extreme Value Statistics
The probability distribution of the maximum of a set of CORRELATED random variables with applications in Random Matrices, Fluctuating Interfaces, Longest Increasing Subsequence Problem and a class of Sequence Matching problems in biology.
Statistical physics, disordered systems, deep learning, neural and metabolic networks
Large fluctuations in non-equilibrium stochastic systems
Clustering, pattern formation and phase separation in granular flows
Ostwald ripening
Nonequilibrium Statistical Mechanics, Dynamical systems, Stochastic interacting systems
Representation Theory of Lie groups
Mathematics, Mathematical education, Algorithmic, Object-oriented programming
Algebraic methods in PDE, noncommutative determinants for semilinear systems, numerical methods for shallow water equations and Bénard-Marangoni instability
Quantum group, crystal base, geometric crystal, Cluster algebra
Representation theory, integrable systems, algebraic geometry
Statistiques intermédiaires et statistiques d'exclusion dans les systèmes d=1 et d=2. Effet Hall quantique entier et fractionnaire : transport et rôle du désordre. Systèmes désordonnes d=1 et d=2 : impuretés magnétiques
Probability theory, ergodic theory, mathematical analysis, theoretical computer science, random walks, Brownian motion, percolation, Markov chain mixing times
Spectral theory, geometric analysis
Decision Theory, Social Choice
Determinantal point processes
Mathematical physics, Low-dimensional topology, Representation theory
Quantum field theory and renormalization, in particular at the non perturbative level; Quantum gravity in particular discrete random tensor models and their relationship with Sachdev-Ye-Kitaev models; Non commutative field theory, random matrices
Polymer Physics and Soft Matter, Theory and simulation of coarse-grained polymer systems, Large-scale folding of eukaryotic chromosomes
Algebra and geometry of classical and quantum integrable systems, character varieties, applications to quantum physics
Mechanism design, choice functions, lattices
Statistical mechanics: extreme value statistics, non-equilibrium dynamics, first-passage problems and disordered systems.
Representation Theory, Combinatorics
Applied physics, polymer physics, bioinformatics, biophysics statistical mechanics
Rigged configuration, Star involution, Borcherds algebras, Generalized Kac-Moody algebras
Modal logic and its applications in computer science Algebraic logic
Mathematical Physics, Quantum and Classical Integrable systems, Quantum Inverse Scattering Method, Separation of Variables Method
Algebraic geometry, special interest are focused on algebraic torus actions, Kähler-Einstein metrics and Cox rings of algebraic varieties
Geometrical and topological combinatorics, graph colorings
Mathematical modeling of biological systems
Statistical Mechanics, Interacting particle systems and Gibbs measures
Second order phase transitions, Monte Carlo simulations
Special functions, differential equations, Belyi maps
Geometry of PDEs, integrable systems, pseudo-differential operators, symbolic computations
Spectral theory of differential and Jacobi operators, orthogonal polynomials
Mathematical physics, statistical mechanics
