∙ 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

## Elliptic diffeomorphisms of symplectic 4-manifolds

Elliptic diffeomorphisms of symplectic 4-manifolds.; 2017. Available from: https://arxiv.org/pdf/1708.01518.pdf

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## Coalescence Phenomenon of Quantum Cohomology of Grassmannians and the Distribution of Prime Numbers

.## Isomonodromy deformations at an irregular singularity with coalescing eigenvalues

Isomonodromy deformations at an irregular singularity with coalescing eigenvalues. Duke Math. J. [Internet]. 2019 ;168:967–1108. Available from: https://doi.org/10.1215/00127094-2018-0059

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## Analytic geometry of semisimple coalescent Frobenius structures

Analytic geometry of semisimple coalescent Frobenius structures. Random Matrices: Theory and Applications [Internet]. 2017 ;06:1740004. Available from: https://doi.org/10.1142/S2010326317400044

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## N=2 gauge theories on unoriented/open four-manifolds and their AGT counterparts

N=2 gauge theories on unoriented/open four-manifolds and their AGT counterparts. JHEP [Internet]. 2019 ;07:040. Available from: http://inspirehep.net/record/1631219/

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## Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane

Painlevé IV Critical Asymptotics for Orthogonal Polynomials in the Complex Plane. Symmetry, Integrability and Geometry. Methods and Applications. 2018 ;14.

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## Real topological string amplitudes

Real topological string amplitudes. Journal of High Energy Physics [Internet]. 2017 ;2017:80. Available from: https://doi.org/10.1007/JHEP03(2017)080

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## Towards a gauge theory interpretation of the real topological string

Towards a gauge theory interpretation of the real topological string. Phys. Rev. D [Internet]. 2016 ;93:066001. Available from: https://link.aps.org/doi/10.1103/PhysRevD.93.066001

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## M-theory interpretation of the real topological string

M-theory interpretation of the real topological string. Journal of High Energy Physics [Internet]. 2014 ;2014:54. Available from: https://doi.org/10.1007/JHEP08(2014)054

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