Peter Koroteev
PhD
Visiting Assistant Professor
Research Interests
Representation theory, algebraic geoemtry, integrable systems, mathematical aspects of string theory and quantum field theory.
Education
PhD University of Minnesota
Office Hours
By appointment.
Courses Taught
MTH 309 Fall 2023
Research
My current research is focused on the interaction between enumerative algebraic geometry, geometric representation theory and integrable systems. In general I work on physical mathematics which nowadays represents a large part of modern math. A significant amount of problems that are studied by mathematicians comes from string/gauge theory.
Selected Publications
- Branes and DAHA Representations. (with A. Gukov, S. Nawata, D. Pei, Saberi) [2206.03565] Monograph SpringerBriefs 2023
- 3d Mirror Symmetry for Instanton Moduli Spaces. (with A. Zeitlin) [2105.00588] Commun. Math. Phys. in press.
- Toroidal q-Opers (with A. Zeitlin) [2007.11786] J. of the Inst. of Math. of Jussieu, (2021) 1-62
- q-Opers, QQ-Systems, and Bethe Ansatz II: Generalized Minors (with A. Zeitlin) [2108.04184] J. Reine Angew. Math. (Crelle J.) (2023) 271
- q-Opers, QQ-Systems, and Bethe Ansatz. (with E. Frenkel, D. Sage, A. Zeitlin) [2002.07344] J. Eur. Math. Soc. (2023)
- (SL(N),q)-opers, the q-Langlands correspondence, and quantum/classical duality. (with D. Sage, A. Zeitlin) [1811.09937] Commun. Math. Phys. 381, 641–672 (2021)
- A-type Quiver Varieties and ADHM Moduli Spaces [1805.00986] Commun. Math. Phys. 381, 175–207 (2021)
- qKZ/tRS Duality via Quantum K-Theoretic Counts. (with A. Zeitlin) [1802.04463] Math. Res. Lett. 28, no. 2, 435–470 (2021)
- Quantum K-theory of Quiver Varieties and Many-Body Systems. (with P. Pushkar, A. Smirnov, A. Zeitlin) [1705.10419] Selecta Math. New Ser. 27, 87 (2021)
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