Vladimir Korepin

Vladimir Korepin is a theoretical physicist and mathematical physicist noted for contributions to quantum integrable systems, the Bethe ansatz, and exactly solvable models. He has held positions at prominent institutions in Moscow and the United States and collaborated with researchers across Europe, Russia, and North America. His work bridges topics associated with many landmark developments in statistical mechanics, quantum field theory, and mathematical physics.

Early life and education

Born in Moscow in 1946, Korepin completed his undergraduate and doctoral studies at Moscow State University (also known as Lomonosov Moscow State University), where he trained under advisers linked to the Steklov Institute of Mathematics and the Institute for Theoretical and Experimental Physics. During his formative years he engaged with communities around the Landau School, the Kurchatov Institute, and seminars that included participants from Kolmogorov, Bogoliubov, and contemporaries in the schools associated with L. D. Faddeev and Evgeny M. Lifshitz. His early exposure connected him to research streams tied to the Bethe ansatz, the Yang–Baxter equation, and solvable lattice models such as the six-vertex model.

Academic career and positions

Korepin held research and faculty appointments at the Steklov Institute of Mathematics and the Institute for Theoretical and Experimental Physics before moving to the United States, where he joined the faculty at Stony Brook University (also referenced as SUNY Stony Brook). At Stony Brook he collaborated with groups associated with the Simons Center for Geometry and Physics, the C. N. Yang Institute for Theoretical Physics, and visiting researchers from institutions such as Princeton University, Massachusetts Institute of Technology, Harvard University, and University of Cambridge. He has served on advisory panels and participated in conferences organized by bodies like the American Physical Society, the International Centre for Theoretical Physics, and the European Physical Society.

Research contributions and notable work

Korepin is best known for foundational results in quantum integrable systems, particularly those using the Bethe ansatz and algebraic methods related to the Yang–Baxter equation. He developed techniques for computing correlation functions and form factors in models such as the Heisenberg model, the XXZ model, and the Lieb–Liniger model, connecting to results by Hans Bethe, C. N. Yang, Richard Baxter, and Ludwig Faddeev. His work on the calculation of norms and scalar products in Bethe states extended methods linked to the Gaudin determinant and had implications for the computation of entanglement measures studied in contexts associated with John Preskill, Peter Zoller, and Igor Affleck. Korepin contributed to the rigorous analysis of asymptotics for correlation functions via techniques related to the Riemann–Hilbert problem and integrable integral operators employed by researchers from the Princeton and Cambridge schools. He also worked on quantum information aspects of integrable models, influencing studies by groups at Caltech, UC Berkeley, and ETH Zurich on entanglement entropy and scaling laws tied to the Conformal Field Theory framework developed by Alexander Zamolodchikov and John Cardy.

Awards and honors

Korepin has been recognized by professional societies and institutions through invitations to deliver plenary talks at meetings of the International Congress on Mathematical Physics and the American Physical Society. He has held visiting positions and fellowships connected to the Simons Foundation, the National Science Foundation, and research exchanges with the Max Planck Society, Institut des Hautes Études Scientifiques, and the Weizmann Institute of Science. His work has been cited in prize-winning research by collaborators and successors at institutions such as Princeton University and Cambridge University, and he has been associated with award committees and editorial boards of journals including Communications in Mathematical Physics and Journal of Statistical Physics.

Selected publications

- Korepin, V. E.; Bogoliubov, N. M.; Izergin, A. G., "Quantum Inverse Scattering Method and Correlation Functions" — influential monograph connecting methods used by L. D. Faddeev and Richard Baxter. - Papers on norms and scalar products in Bethe ansatz states building on the Gaudin model literature and methods associated with Michel Gaudin and C. N. Yang. - Works on entanglement entropy in integrable models referenced alongside studies by John Cardy, Alexander Zamolodchikov, and P. Di Francesco. - Contributions to the theory of form factors and correlation functions in the XXZ model and Heisenberg model, often cited in reviews by authors at CERN, DESY, and the Institute for Advanced Study. - Collaborative papers on integrable quantum field theories and connections to Conformal Field Theory and the Riemann–Hilbert problem.

Category:Mathematical physicists Category:Theoretical physicists Category:Alumni of Lomonosov Moscow State University Category:Stony Brook University faculty