While studying at the Moscow Institute of Physics and Technology at the Department of Physical and Quantum Electronics, he entered the Gorkov Theoretical group (Chair of Problems of Theoretical Physics, Department of General and Applied Physics, at the L.D. Landau Institute for Theoretical Physics RAS), where he defended his diploma on an individual plan under the guidance of Academician V.E. Zakharov, then entered the graduate school of the Landau Institute for Theoretical Physics RAS, which he successfully defended his Ph.D. thesis under the supervision of academician V.E. Zakharov as well. Since then, he has been a researcher (part-time since 2024) at the Landau Institute. In 2006 He started working as a Visiting Scholar at the Department of Mathematics at the University of Arizona (Tucson, Arizona, USA) and left at the rank of a Visiting Assistant Professor in 2009 after beckoming an Assistant Professor at the Department of Mathematics and Statistics at the University of New Mexico ( Albuquerque, New Mexico, USA). He finished his work at UNM as a Full Professor of Mathematics in December 2023 due to his move to Skoltech as a Full Professor at the Center for Engineering Physics, starting from January 2024. At the Center, he is the leader of the Wave Physics group. His main research interests are nonlinear waves in various media, wave turbulence, computational physics, applied mathematics, record-breaking scientific computing.

Some of Prof. Korotkevich papers can be found here.