
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:
- B. Feigin, L. Rybnikov, F. Uvarov. ”(gl(n), gl(m))”-duality and Olshanskiy’s homomorphism”. Preprint: http://arxiv.org/abs/2602.18275.
- 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
- 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.
- V. Tarasov, F. Uvarov. ”Duality for Bethe algebras acting on polynomials in anticommuting variables”. Letters in Mathematical Physics 2020, No. 110, pp. 3375-3400
- 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.
- 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