Areas of Activity#
Here you will find all fields of scholarship for this section.
A
- algebraic and probabilistic methods in combinatorics Go to
- Algebraic and symplectic geometry 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, in particular Algebraic Surfaces and Resolution of Singularities Go to
- Algebraic number theory Go to
- algorithmic logic Go to
- applied mathematics Go to
- applied mathematics Go to
- applied statistics Go to
- Arnold conjecture Go to
- Arnold's cat map Go to
- Arnold's rouble problem Go to
- Assessment of the strength of cryptographic systems Go to
B
- boundary-value problems for partial differential equations Go to
C
- Calculus of variations and the mathematical theory of nonlinear elasticity Go to
- catastrophe theory Go to
- Characteristic Classes Go to
- classical mechanics and singularity theory Go to
- cohomological dimension Go to
- combinatorial algorithms, streaming algorithms and circuit complexity Go to
- combinatorial geometry and combinatorial number theory Go to
- combinatorics, graph theory and their applications to theoretical computer science Go to
- combinatory algebra and foundations of computer science Go to
- computational statistics Go to
- computer science: early project of quantum computing, asymptotic bounds for codes, renormalization program in computation Go to
- computer science Go to
- Conjecture for elliptic curves with complex multiplication Go to
- continuous images of ordered continua Go to
- cosmology Go to
D
- 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 equations: theory of instantons and solitons Go to
- differential geometry Go to
- differential geometry Go to
- Differential Topology Go to
- dimension theory Go to
- diophantine analysis Go to
- Diophantine approximations(the use and study of logarithmic forms) Go to
- diophantine geometry Go to
- Discrete optimization Go to
- Domain at the crossroads of combinatorics and optimization Go to
- dynamical systems Go to
- dynamical systems theory Go to
E
- effective methods Go to
- exact homologies Go to
F
- financial econometrics Go to
- Functional analysts Go to
G
- Group theory Go to
I
- infinitary logic Go to
- interaction of representation theory with the modern theory of automorphic forms (through Langlands program) Go to
- Invariant theory Go to
- inverse systems of spaces Go to
K
- Kolmogorov–Arnold–Moser theorem Go to
L
- Levy theory Go to
- liquid crystals Go to
- logarithmic forms Go to
M
- magnetohydrodynamics Go to
- Markov processes Go to
- mathematical fluid dynamics Go to
- Mathematical logic Go to
- mathematical logic, in particular theory of models Go to
- mathematical physics Go to
- mathematical physics Go to
- mathematical physics: quantum groups, string theory Go to
- mathematical population genetics Go to
- mathematical statistics Go to
- mathematical statistics Go to
- mathematical statistics Go to
- mathematics Go to
- mathematics Go to
- mathematics Go to
- mathematics Go to
- medical statistics Go to
- Micro structures Go to
- Modular Forms Go to
- modular forms: theory of modular symbols, p-adic interpolation Go to
N
- Neural methods Go to
- Non-commutative lwasawa theory Go to
- Nonlinear partial differential equations Go to
- number theory: Diophantine Geometry, program of counting points of bounded height, Brauer-Manin obstruction Go to
- number theory Go to
- Number theory Go to
O
- ordinary and strong shape theory Go to
P
- Partial differential equations Go to
- partial differential equations Go to
- plasma physics 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
- Properties of semi-martigales Go to
- Properties of the Brownian motion and applications Go to
Q
- queueing theory Go to
R
- regenerative phenomena Go to
- Related theories in probability theory and mathematical physics Go to
- representation theory of reductive groups, in particular over p-adic fields Go to
S
- Schramm-Loewner evolution Go to
- smoothing methods Go to
- solar physics Go to
- solar physics Go to
- solution of Hilbert's thirteenth problem Go to
- Sophisticated combinatorics Go to
- stationary processes Go to
- statistical inference Go to
- statistical physics Go to
- Statistics Go to
- statistics Go to
- subadditive random processes Go to
- symplectic geometry and topology Go to
T
- The design of efficient cryptographic methods (XTR, VSH) Go to
- theoretical & applied mechanics Go to
- theoretical neuroscience Go to
- theory of differential equations Go to
- theory of dynamical systems Go to
- theory of symplectic topology Go to
- topology Go to
- transcendence Go to
- turbulence stochastics Go to
W
- wavelets Go to


