Diophantine geometry, Drinfeld modules, abelian varieties
Strongly correlated systems. Ultracold atoms.
Integrable models of Mathematical Physics.
Smooth and Hamiltonian dynamical systems, celestial mechanics, planar billiards, spectral rigidity
Spectral geometry, Extremal eigenvalue problems, Harmonic maps, Moduli spaces
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.
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
Statistical mechanics: extreme value statistics, non-equilibrium dynamics, first-passage problems and disordered systems.
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Phone: +7 499 241379
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