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Areas of Activity#

Here you will find all fields of scholarship for this section.
A
  • Additive combinatorics Go to
  • Additive combinatorics Go to
  • Additive combinatorics Go to
  • Additive number theory Go to
  • Algebra and geometry Go to
  • Algebraic and analytic geometry Go to
  • Algebraic and probabilistic methods in combinatorics Go to
  • Algebraic and projective geometry Go to
  • Algebraic and symplectic geometry Go to
  • algebraic arithmetic geometry Go to
  • Algebraic arithmetic geometry Go to
  • Algebraic dynamics Go to
  • Algebraic Dynamics Go to
  • Algebraic geometry: birational classification of algebraic varieties, Quantum co-homology, non commutative geometry Go to
  • algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic Geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic geometry Go to
  • Algebraic Geometry, in particular Algebraic Surfaces and Resolution of Singularities Go to
  • Algebraic geometry, in particular enumerative geometry and intersection theory Go to
  • Algebraic geometry, Jacobians Go to
  • Algebraic methods in computer aided geometric design Go to
  • Algebraic numbers, polynomials and binary forms with given discriminant Go to
  • algebraic number theory Go to
  • Algebraic number theory Go to
  • Algebraic number theory Go to
  • Algebraic surfaces and their classification Go to
  • Algebraic topology Go to
  • Algorithmic resolution of Diophantine equations Go to
  • Analysis and algebra Go to
  • Analysis / automorphic forms Go to
  • Analysis of models for tumor growth Go to
  • Analytic functions Go to
  • Analytic number theory Go to
  • Analytic number theory Go to
  • Analytic number theory Go to
  • Analytic Number Theory of Modular Forms Go to
  • André-Oort conjecture. First unconditional case Go to
  • Application of functional analysis and exterior calculus to the investigation of certain properties of field equations of continuous media Go to
  • Applications in aeronautics, hydraulics and electrical networks Go to
  • Applications of partial differential equations Go to
  • Applications to algebraic number theory, irreducible polynomials, Diophantine approximation and Diophantine geometry Go to
  • Applications to: fluid mechanics; aerospace engineering; geophysics; biomechanics; medical systems; wave propagation phenomena Go to
  • applied harmonic analysis Go to
  • Applied mathematics Go to
  • Applied mathematics Go to
  • applied mathematics Go to
  • Applied mathematics Go to
  • Applied mathematics Go to
  • Applied statistics Go to
  • Arithmetic algebraic geometry Go to
  • Arithmetic Algebraic Geometry, in particular Arakelov Geometry Go to
  • Arithmetic and Algebra of Polynomials Go to
  • Arithmetic geometry (discriminants and conductors of elliptic curves, rational points) Go to
  • Arithmetic geometry Go to
  • arithmetic geometry Go to
  • Arithmetic geometry Go to
  • Arithmetic geometry Go to
  • Arithmetic geometry Go to
  • Arithmetic geometry Go to
  • Arithmetic theory of differential equations and theory of arithmetic Gevrey series. Applications to transcendental number theory Go to
  • Arnold's rouble problem Go to
  • Arrangements of hyperplanes Go to
  • Artificial intelligence Go to
  • Assessment of the strength of cryptographic systems Go to
  • Astronomical tests of fundamental physics Go to
  • Astroparticle physic Go to
  • Asymptotic analysis Go to
  • Asymptotic analysis, stabilization techniques for finite element discretizations Go to
  • Automorphic forms and allied representations Go to
  • Automorphic forms and representations Go to
B
  • Bacterial cell motion (kinetic to macroscopic) Go to
  • Basic properties of finite element methods (in particular, mixed, hybrid, etc.) Go to
  • Bayesian statistics (decision theory, model choice, foundations, objective Bayesian methodology, paradoxes) Go to
  • Behavior of finite dimensional discretizations of bifurcation problems Go to
  • Birch and Swinnerton-Dyer conjecture Go to
  • Boundary-value problems for partial differential equations Go to
  • Boundary value problems for P.D.E. (existence, uniqueness, regularity, etc.) Go to
  • Bounds for the integral solutions and for the number of integral solutions of Diophantine equations Go to
  • Braid groups and knot invariants Go to
C
  • Calculus of variations and the mathematical theory of nonlinear elasticity Go to
  • Calculus of variations Go to
  • Catastrophe theory Go to
  • Characteristic Classes Go to
  • Classical mechanics and singularity theory Go to
  • Classical mechanics Go to
  • Closed positive currents Go to
  • Cluster categories Go to
  • Cohomological dimension Go to
  • Combinatorial algorithms, streaming algorithms and circuit complexity Go to
  • Combinatorial aspects of Index Theory Go to
  • Combinatorial geometry and combinatorial number theory Go to
  • Combinatorial geometry Go to
  • combinatorial geometry Go to
  • Combinatorial number theory Go to
  • Combinatorial optimization Go to
  • Combinatorial optimization Go to
  • Combinatorics: geometric, probabilistic and topological Go to
  • Combinatorics, graph theory and their applications to theoretical computer science Go to
  • Combinatorics, symmetric groups, approximations in algebra Go to
  • Combinatory algebra and foundations of computer science Go to
  • Commutative algebra Go to
  • Commutative algebra Go to
  • Commutative and homological algebra Go to
  • Compact Kähler manifolds Go to
  • Complex differential geometry Go to
  • Complex reflection groups Go to
  • Compressible Euler equations Go to
  • Computational complexity of algebraic functions Go to
  • Computational complexity of analytic functions Go to
  • Computational mathematics Go to
  • Computational Mechanics Go to
  • Computational number theory Go to
  • Computational statistics Go to
  • Computational statistics (Monte Carlo methodology, MCMC methods, sequential importance sampling, approximate Bayesian computation (ABC), convergence diagnoses) Go to
  • Computer science: early project of quantum computing, asymptotic bounds for codes, renormalization program in computation Go to
  • Configuration spaces (lemnisctaes, monodromy) Go to
  • Conjecture for elliptic curves with complex multiplication Go to
  • Continuous images of ordered continua Go to
  • Continuum mechanics Go to
  • Convex geometry, discrete geometry, subriemannian geometry Go to
  • Convex sets and convex polytopes Go to
D
  • Deformation quantization Go to
  • Derivation of quantum Brownian motion Go to
  • Description of the structure of the set of integral solutions of Diophantine equations Go to
  • Development and implementation of asymmetric cryptanalytic methods (Number Field Sieves, Quadratic Sieves) Go to
  • Development of Floer homology Go to
  • Development of the stochastic calculus Go to
  • Differential & algebraic geometry Go to
  • Differential equations: theory of instantons and solitons Go to
  • Differential geometry Go to
  • Differential geometry Go to
  • Differential Geometry Go to
  • Differential geometry Go to
  • Differential geometry Go to
  • differential geometry Go to
  • Differential geometry Go to
  • Differential Topology Go to
  • Diophantine analysis Go to
  • Diophantine approximation Go to
  • Diophantine Approximation, Heights of Algebraic Numbers Go to
  • Diophantine approximations(the use and study of logarithmic forms) Go to
  • Diophantine equations Go to
  • Diophantine Geometry (elliptic curves, abelian varieties, multiplicative groups, additive groups, Carlitz modules) Go to
  • Diophantine geometry Go to
  • Diophantine geometry Go to
  • Diophantine geometry Go to
  • Diophantine geometry Go to
  • Diophantine Geometry Go to
  • Discontinuous Galerkin finite elements Go to
  • Discrete and computational geometry Go to
  • Discrete mathematics Go to
  • Discrete mathematics Go to
  • Discrete optimization Go to
  • Dispersion of environmental pollution Go to
  • Distribution of primes Go to
  • Domain at the crossroads of combinatorics and optimization Go to
  • DYNAMICAL SYSTEMS Go to
    • Hyperbolic systems with singularities, billiards
    • Ergodic and stochastic properties
    • Ergodicity of hard ball systems: Boltzmann-Sinai ergodic hypothesis
  • Dynamical Systems of Algebraic Origin Go to
  • Dynamical systems theory Go to
  • dynamics, stochastics Go to
E
  • Effective results for integral solutions of Diophantine equations over number fields, function fields and finitely generated domains over Z Go to
  • Electromagnetic ve thermal interactions Go to
  • Elliptic curve factorization method Go to
  • Enumerative, algebraic, analytic combinatorics Go to
  • Enumerative geometry Go to
  • Equations arising in liquid crystals, superconductors, Ginzberg-Landau Go to
F
  • Fast rotating fluids and applications to ocean circulation Go to
  • Financial econometrics Go to
  • Finite element analysis of plates and shells Go to
  • Finite Element Method Go to
  • Flows on homogeneous spaces Go to
  • Fluctuations, scaling limits Go to
  • Foliations of moduli spaces. Go to
  • Fourier integral operators Go to
  • Functional Analysis, Ergodic theory, Representation theory, Dynamical systems, Optimization, Stochastic processes Go to
  • Functional Analysis Go to
  • Functional analysts Go to
  • Functional concentration of measure Go to
G
  • Galois representations Go to
  • Galois representations Go to
  • Geat equation proof Go to
  • General Relativity Go to
  • geometric analysis Go to
  • Geometric analysis Go to
  • Geometric functional analysis Go to
  • Geometric function theory Go to
  • Geometric graph theory Go to
  • Geometric group theory Go to
  • Geometric measure theory Go to
  • Geometry and analysis Go to
  • Geometry and Topology (Algebraic, Homotopy and Differential Topology, Foliations, Topological Phenomena in Variational Calculus) Go to
  • Geometry and Topology Go to
  • Geometry of algebraic of curves Go to
  • Geometry of surfaces Go to
  • Geometry of surfaces Go to
  • Goldbach conjecture Go to
  • Gross-Pitaevskii equation for Bose-Einstein condensate Go to
  • Group actions on curves and higher dimensional varieties Go to
H
  • Harmonic analysis on locally symmetric spaces Go to
  • Harmony in the music of Johann Sebastian Bach Go to
  • Higher-dimensional class field theory Go to
  • High frequency limits Go to
  • History of science (particularly Irish 19th century mathematics and theoretical physics) Go to
  • Hodge theory, algebraic cycles, rational points, fundamental groups Go to
  • Homological Algebra Go to
  • Hydrodynamic limit Go to
  • HYP and HYPQ mathematica software Go to
  • Hyperbolic systems Go to
I
  • Improvement of sports performance and rehabilitation engineering Go to
  • Index of transversally elliptic operators Go to
  • Industrial mathematics Go to
  • Information theory Go to
  • Integrable systems Go to
  • Integral Points on Algebraic Varieties over Number Fields and Function Fields Go to
  • Interacting particle systems and Brownian motions Go to
  • Interaction of representation theory with the modern theory of automorphic forms (through Langlands program) Go to
  • Interface of mathematics and physics Go to
  • Invariance principle in probability and mathematical statistics Go to
  • Inventory control and finance Go to
  • Inverse and ill-posed problems Go to
  • Inverse systems of spaces Go to
  • Isogeometric analysis, finite element techniques for Maxwell equations Go to
K
  • Kinetic formultion and Kinetic schemes Go to
  • Kobayashi hyperbolic varieties Go to
  • Kolmogorov–Arnold–Moser theorem Go to
L
  • Latent variable models (mixtures, hidden Markov models) Go to
  • Lattice basis reduction algorithm. Go to
  • Laws of iterated logarithm Go to
  • Lie groupoids and Lie algebroids Go to
  • Limit theorems of probability theory Go to
  • Linear algebraic groups Go to
  • Linear and nonlinear programming, optimization Go to
  • Linear and non-linear waves Go to
  • Linear programming and theoretical computer science Go to
  • Local-global principles Go to
  • Locally symmetric algebraic varieties Go to
  • Logarithmic Sobolev inequalities Go to
M
  • Magnetic Lieb-Thirring inequalities Go to
  • Magnetohydrodynamics Go to
  • Many body quantum dynamics Go to
  • Matematical aspects of material science Go to
  • Mathematical analysis Go to
  • Mathematical and Theoretical Physics (The Methods of Algebraic, Symplectic, Riemannian Geometry, Topology and Dynamical Systems in General Relativity, Completely Integrable Systems and Solitons, Magnetoresistance in Metals, Field Theory, Quantum Theory and Spectral Theory of Operators on Lattices and Graphs) Go to
  • Mathematical biology Go to
  • Mathematical chemistry Go to
  • Mathematical Elasticity Go to
  • Mathematical finance (Arbitrage theory) Go to
  • Mathematical finance Go to
  • Mathematical fluid dynamics Go to
  • Mathematical logic Go to
  • Mathematical logic Go to
  • Mathematical logic Go to
  • Mathematical logic, in particular theory of models Go to
  • Mathematical modeling for biomedical applications Go to
  • Mathematical Modeling Go to
  • Mathematical modelling Go to
  • Mathematical Modelling, Numerical Analysis, Scientific Computing Go to
  • Mathematical Physics Go to
  • Mathematical physics Go to
  • MATHEMATICAL PHYSICS Go to
  • Mathematical physics Go to
  • Mathematical Physics Go to
  • Mathematical Physics Go to
  • Mathematical Physics Go to
  • Mathematical physics Go to
  • Mathematical physics Go to
  • Mathematical Physics Go to
  • Mathematical physics: quantum groups, string theory Go to
  • Mathematical population genetics Go to
  • Mathematical relativity Go to
  • Mathematical software Go to
  • MATHEMATICAL STATISTICAL PHYSICS Go to
    • Dynamical theory of Brownian motion
    • Recurrence of Lorentz process
    • Diffusive behavior in Rayleigh gas
    • Super-diffusive behavior in Lorentz gas
    • Fourier law of heat conduction
  • Mathematical statistics and probability Go to
  • Mathematical statistics and probability theory Go to
  • Mathematical Statistics Go to
  • Mathematical statistics Go to
  • mathematics, calculus of variations Go to
  • Matrix computations Go to
  • Mean field models for neural networks Go to
  • Measure theory, statistics and asymptotics in combinatorics Go to
  • Mechanical engineering Go to
  • medical statistics Go to
  • Medical statistics Go to
  • Method of semi-relaxed limits Go to
  • Mimetic finite differences Go to
  • Modelling auxin transport in Arabidopsis plant stems Go to
  • Models for evolution/selection Go to
  • Modular forms: theory of modular symbols, p-adic interpolation Go to
  • Moduli of abelian varieties Go to
  • Moduli spaces and Hilbert schemes Go to
  • Moduli spaces of abelian varieties Go to
  • Moduli spaces of vectorbundles Go to
N
  • Non commutative algebra Go to
  • Non-commutative algebraic geometry Go to
  • Non-commutative geometry Go to
  • Non-commutative harmonic analysis Go to
  • Non-commutative lwasawa theory Go to
  • Non-linear differential equations of KdV type Go to
  • Nonlinear diffusion processes and higher order model equations Go to
  • Nonlinear Functional Analysis Go to
  • Non-linear geophysics Go to
  • Nonlinear ordinary and partial differential equations arising in the applied sciences Go to
  • Nonlinear partial differential equations Go to
  • Nonlinear Partial Differential Equations Go to
  • Non-local field theories and micromorphic materials Go to
  • Number theory: Diophantine Geometry, program of counting points of bounded height, Brauer-Manin obstruction Go to
  • Number theory (mainly combinatorial and probabilistic) Go to
  • Number Theory (transcendence, algebraic independence) Go to
  • Numerical algorithms Go to
  • Numerical analysis, discretization of partial differential equations Go to
  • numerical analysis Go to
  • Numerical Analysis Go to
  • Numerical analysis Go to
  • Numerical analysis Go to
  • Numerical Approximation of Partial Differential Equations Go to
  • Numerical linear algebra Go to
  • Numerical solution Go to
  • Numerical solution of linear elliptic problems with irregular data Go to
O
  • Optimal control and Hamilton-Jacobi equations Go to
  • Ordinary and strong shape theory Go to
P
  • Packing and covering Go to
  • P-adic Hodge theory Go to
  • p-adic Hodge theory Go to
  • p-adic Hodge theory Go to
  • Parametric families of S-unit equations Go to
  • Partial differential equations Go to
  • Partial differential equations Go to
  • Partial Differential Equations Go to
  • Partial differential equations Go to
  • Partial differential equations Go to
  • partial differential equations Go to
  • Partial differential equations Go to
  • Partial differential equations Go to
  • Partial differential equations of nonequilibrium statistical mechanics, in particular Boltzmann-like equations Go to
  • Popularization of Mathematics Go to
  • Positive vector bundles Go to
  • Power values of products of consecutive terms in arithmetic progressions Go to
  • Prime number theory Go to
  • Probabilistic combinatorics Go to
  • Probability and Stochastic processes Go to
  • probability, stochastic processes Go to
  • Probability theory Go to
  • Probability theory Go to
  • Probability theory Go to
  • Probability theory Go to
  • Probability theory Go to
  • Probability theory Go to
  • Probability theory Go to
  • Probability theory, in particular stochastic analysis and applications to mathematical finance Go to
  • Probability theory, with a special focus on random media and problems connected with physics Go to
  • Products in shape theory Go to
  • Projective geometry Go to
  • Proof of Crew's local monodromy conjecture (which together with Berger's theorem solves Fontaine's local monodromy conjecture for p-adic fields) Go to
  • Proof of Dwork's conjecture on logarithmic growth of solutions of p-adic differential equations at the boundary Go to
  • Proof of Malgrange's conjecture on the variation of irregularity of meromorphic differential systems Go to
  • Properties of semi-martigales Go to
  • Properties of the Brownian motion and applications Go to
  • Protein structure and folding Go to
Q
  • Qualitative properties of kinetic equations of granular media Go to
  • Quantitive modelling of pharmaceutical processes Go to
  • Quantum Field Theory Go to
  • Quantum field theory Go to
  • Quantum field theory Go to
  • Quantum groups, quantized enveloping algebras Go to
  • Quasi periodic solutions on the non linear Schrödinger equation Go to
R
  • Random discrete structures Go to
  • Randomness in space and time Go to
  • Random Schrodinger operators; Lifshitz tail and localization Go to
  • Random walks and percolation Go to
  • Random walks, interacting particle systems Go to
  • Rayleigh-Benard convection Go to
  • Real algebraic geometry Go to
  • Regenerative phenomena Go to
  • Related theories in probability theory and mathematical physics Go to
  • Relations with complex analysis Go to
  • Renormalization group and its probabilistic aspects Go to
  • Representation theory and its applications, asymptotic representation theory, infinite-dimensional groups, C
  • Representation theory Go to
  • Representation Theory Go to
  • Representation theory Go to
  • Representation theory Go to
  • Representation theory of finite dimensional algebras Go to
  • Representation theory of reductive groups, in particular over p-adic fields Go to
  • Residual-free bubbles and subgrid-scale simulations Go to
  • Resolution of singularities Go to
  • Rigorous constructive Euclidean field theory Go to
S
  • Schramm-Loewner evolution Go to
  • scientific computing Go to
  • Several complex variables Go to
  • Singularity theory Go to
  • Singularly perturbed stochastic differential equations Go to
  • Sixth problem of Hilbert (from system of particles to Boltzmann equation and hydrodynamics) Go to
  • Solution of Hilbert's thirteenth problem Go to
  • Sophisticated combinatorics Go to
  • Spatial Statistics Go to
  • Spectral analysis of magnetic Schrodinger operators Go to
  • Spectral graph theory Go to
  • Splines and partition functions Go to
  • Springer representations Go to
  • Springer resolution Go to
  • Stabilization techniques for finite element formulations Go to
  • Stationary processes Go to
  • Statistical applications Go to
  • Statistical inference Go to
  • Statistical Inference Go to
  • Statistical mechanics Go to
  • Statistical mechanics Go to
  • Statistical mechanics of equilibrium and non-equilibrium systems Go to
  • Statistical methods Go to
  • Statistical physics (classical and quantum) Go to
  • Statistical physics Go to
  • Statistical physics Go to
  • Statistical physics Go to
  • Statistical theory Go to
  • Statistics and financial mathematics Go to
  • Stochastic analysis Go to
  • Stochastic analysis Go to
  • Stochastic calculus Go to
  • Stochastic control Go to
  • Stochastic control Go to
  • Stochastic dynamic Go to
  • Stochastic Geometry Go to
  • Stochastic homogenization Go to
  • Stochastic processes Go to
  • Stratifications of moduli spaces Go to
  • Structural properties of field equations associated with continuous media such as symmetry and equivalence groups, group-invariant solutions, conservation laws Go to
  • Subadditive random processes Go to
  • Swift-Hohenberg equation. Go to
  • Symplectic geometry and topology Go to
  • Symplectic geometry Go to
  • Symplectic geometry Go to
  • Symplectic topology Go to
  • Symplectic topology Go to
T
  • Teaching of Mathematics Go to
  • Teichmüller theory Go to
  • Tempered fundamental group in p-adic geometry. Solution of Grothendieck's problem of a geometric description of local Galois groups in the framework of anabelian geometry Go to
  • Ternary equations, including generalized Fermat equations Go to
  • The axiomatic foundations of the physics, particularly mechanics, of continuous media Go to
  • The design of efficient cryptographic methods (XTR, VSH) Go to
  • Theoretical computer science Go to
  • Theoretical computer science Go to
  • Theoretical elementary particle physics Go to
  • theoretical mathematics Go to
  • Theoretical neuroscience Go to
  • Theoretical Statistics Go to
  • Theories of gravitation Go to
  • Theory of algorithms Go to
  • Theory of Automorphic Forms, in particular Theory of Modular Forms Go to
  • Theory of cointegration Go to
  • The­ory of dif­fer­en­tial equa­tions Go to
  • Theory of dynamical systems Go to
  • Theory of invariants Go to
  • Theory of linear partial differential equations Go to
  • Theory of nonlinear partial differential equations Go to
  • Theory of symplectic topology Go to
  • Theta correspondences Go to
  • Time-frequency analysis Go to
  • Topological dynamics Go to
  • Topology and Cohomology of Groups Go to
  • Topology of algebraic varieties Go to
  • Topology of algebraic varieties Go to
  • Transcendance theory Go to
  • Turbulence stochastics Go to
  • Twin prime conjecture Go to
U
  • Unconditional theory of pure motives. Applications to Hodge and Tate classes on abelian varieties. Go to
  • Uniform distribution Go to
  • Unit equations, decompodable form equations and discriminant equations Go to
V
  • Vanishing theorems Go to
  • Variational inequalities Go to
  • Vector bundles on Riemann surfaces and links to Math Physics Go to
  • Virtual element methods Go to
  • Viscous thin films Go to
W
  • Wigner-Dyson-Mehta universality in random matrices Go to

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