Graduated from Kharkiv State University (1994). Postgraduate studies at the mathematical department of the Institute for Low Temperature Physics and Engineering (1997). PhD thesis “Poisson homogeneous spaces of Poisson-Lie groups” (1998). From 1998 to 2003, an assistant professor at the Department of Function Theory and Functional Analysis of Kharkiv National University. From 2003 to 2015, an associate professor at the same department. Since 2015, an associate professor at the Department of Fundamental Mathematics of Kharkiv National University. Author/co-author of about 25 scientific articles. Participant in many international conferences. In 2005-2007, for 4 semesters, a visiting professor at the University of Notre Dame, USA.
Lie algebras, Quantum groups, Poisson geometry, Representation theory, Number theory.
Elements of Algebra and Number Theory
Linear Algebra
General Algebra
Discrete Mathematics
Modern Algebra
Complex Analysis (practical classes)
Probability Theory (practical classes)
Representation Theory
Topics in Number Theory
Lie Algebras
Lie Groups
Sheaf Theory
Galois Theory
Introduction to Cryptography
E. Karolinsky, On centralizers of Belavin–Drinfeld r-matrices, Journal of Mathematical Physics, Analysis, Geometry, 21 (2025), 346—350.
E. Karolinsky, A. Pianzola, A. Stolin, Classification of quantum groups via Galois cohomology, Communications in Mathematical Physics, 377 (2020), 1099—1129.
B. Kadets, E. Karolinsky, I. Pop, A. Stolin, Classification of quantum groups and Belavin–Drinfeld cohomologies, Communications in Mathematical Physics, 344 (2016), 1—24.
E. Karolinsky, A. Stolin, V. Tarasov, Irreducible highest-weight modules and equivariant quantization, Advances in Mathematics, 211 (2007), 266—283.
E. Karolinsky, K. Muzykin, A. Stolin, V. Tarasov, Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization, Letters in Mathematical Physics, 71 (2005), 179—197.
E. Karolinsky, A. Stolin, Classical dynamical r-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras, Letters in Mathematical Physics, 60 (2002), 257—274.
"Algebraic and Geometric Methods of Analysis", Odesa, May 2025.
"Quantum groups, quantum symmetric spaces and operator algebras", Gothenburg, June 2019, invited talk.