∙ Integrable systems in relation with differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds
• Deformation theory, moduli spaces of sheaves and of curves, in relation with supersymmetric gauge theories, strings, Gromov-Witten invariants, orbifolds and automorphisms

• Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics

• Mathematical methods of quantum mechanics

• Mathematical aspects of quantum Field Theory and String
Theory

• Symplectic geometry, sub-riemannian geometry

• Geometry of quantum fields and strings

## Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach

.## On Sobolev instability of the interior problem of tomography

On Sobolev instability of the interior problem of tomography. Journal of Mathematical Analysis and Applications. 2016 .

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## Simple Lie Algebras and Topological ODEs

Simple Lie Algebras and Topological ODEs. Int. Math. Res. Not. 2016 ;2016.

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## Universality Conjecture and Results for a Model of Several Coupled Positive-Definite Matrices

Universality Conjecture and Results for a Model of Several Coupled Positive-Definite Matrices. Commun. Math. Phys. [Internet]. 2015 ;337:1077–1141. Available from: http://link.springer.com/article/10.1007/s00220-015-2327-7

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## Noncommutative Painlevé Equations and Systems of Calogero Type

Noncommutative Painlevé Equations and Systems of Calogero Type. Comm. Math. Phys. 2018 .

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