INSTITUTE FOR THEORETICAL AND MATHEMATICAL PHYSICS

Lomonosov Moscow State University

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Filipp Uvarov

PhD

Research interests

Representation theory of Lie algebras and quantum groups. Quantum integrable systems. Bethe algebras and Bethe ansatz.

Publications
Teaching

Selected publications:

  1. B. Feigin, L. Rybnikov, F. Uvarov. ”(gl(n), gl(m))”-duality and Olshanskiy’s homomorphism”. Preprint: http://arxiv.org/abs/2602.18275.
  2. B. Feigin, L. Rybnikov, F. Uvarov. ”Gaudin model and Deligne’s category”. Lett Math Phys 114, 3 (2024). https://doi.org/10.1007/s11005-023-01747-y
  3. F. Uvarov. ”Difference Operators and Duality for Trigonometric Gaudin and Dynamical Hamiltonians”. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2022, No 18, 081, 41 pp.
  4. V. Tarasov, F. Uvarov. ”Duality for Bethe algebras acting on polynomials in anticommuting variables”. Letters in Mathematical Physics 2020, No. 110, pp. 3375-3400
  5. V. Tarasov, F. Uvarov. ”Duality for Knizhnik-Zamolodchikov and Dynamical Operators”. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2020, No 16, 035, 10 pp.
  6. V.D. Lyakhovskiy, Ph.V. Uvarov, ”Multivariate Chebyshev polynomials”. Journal of Physics A: Mathematical and Theoretical 2013, No.46, 125201

Publications affiliated with ITMP:

All publications