Andrei Zotov

PhD

#### Research interests

Scientific interests of Andrei Zotov are mainly related to the theory of integrable systems, its methods and numerous applications. A series of his papers is devoted to interrelations (dualities) between different type models. For example, an interesting correspondence was observed between the classical many-body systems and quantum spin chains. Among other issues, these type dualities allow to predict some properties for solutions of the Painleve equations, the Knizhnik-Zamolodchikov equations as well as many other important equations in theoretical and mathematical physics.

#### Selected publications:

- A. Grekov, A. Zotov, “Characteristic determinant and Manakov triple for the double elliptic integrable system”,
*SciPost Phys.*,**10**:3 (2021), 055 , 34 pp., arXiv: 2010.08077 - N. Slavnov, A. Zabrodin, A. Zotov, “Scalar products of Bethe vectors in the 8-vertex model”,
*JHEP*,**2020**:6 (2020), 123 , 53 pp., arXiv: 2005.11224 - T. Krasnov, A. Zotov, “Trigonometric Integrable Tops from Solutions of Associative Yang–Baxter Equation”,
*Ann. Henri Poincaré*,**20**:8 (2019), 2671–2697 , arXiv: 1812.04209 - I. Sechin, A. Zotov, “R-matrix-valued Lax pairs and long-range spin chains”,
*Phys. Lett. B*,**781**(2018), 1–7 , arXiv: 1801.08908 - S. Kharchev, A. Levin, M. Olshanetsky, A. Zotov, “Quasi-compact Higgs bundles and Calogero–Sutherland systems with two types of spins”,
*J. Math. Phys.*,**59**:10 (2018), 103509 , 36 pp., arXiv: 1712.08851 - A. Gorsky, A. Zabrodin, A. Zotov, “Spectrum of quantum transfer matrices via classical many-body systems”,
*J. High Energy Phys.*, 2014, no. 1, 070 , 28 pp., arXiv: 1310.6958 - A. Mironov, A. Morozov, B. Runov, Y. Zenkevich, A. Zotov, “Spectral duality between Heisenberg chain and Gaudin model”,
*Lett. Math. Phys.*,**103**:3 (2013), 299–329 , arXiv: 1206.6349 - A. Zabrodin, A. Zotov, “Quantum Painlevé-Calogero correspondence for Painlevé VI”,
*J. Math. Phys.*,**53**:7 (2012), 073508 , 19 pp., arXiv: 1107.5672 - A. Levin, M. Olshanetsky, A. Smirnov, A. Zotov, “Characteristic classes and Hitchin systems. General construction”,
*Comm. Math. Phys.*,**316**:1 (2012), 1–44 , arXiv: 1006.0702 - A. M. Levin, M. A. Olshanetsky, A. Zotov, “Hitchin systems - symplectic Hecke correspondence and two-dimensional version”,
*Comm. Math. Phys.*,**236**:1 (2003), 93–133 , arXiv: nlin/0110045

#### Publications affiliated with ITMP:

physics and mathematics