Welcome to my home page! I am currently a Visiting Assistant Professor at SUNY Buffalo.
My research focus is in Applied Mathematics broadly; more precisely, I study nonlinear waves in dispersive nonlinear ordinary and partial differential equations inspired by real-world applications, both numerically and analytically. The main themes in my work are solitary wave solutions, nonlinear Schrödinger equation, $\mathcal{PT}$-symmetric systems, convex optimization and Whitham modulation theory, described in more detail below.
I incorporate elements of original research and inquiry-based learning into my teaching. Research-enriched courses emphasize Active Learning. By integrating research into the curriculum, these courses contribute to the development of critical skills, foster a deeper understanding of academic content, and prepare students for success in both their academic and professional aspirations. Moreover, the sense of discovery and contribution to knowledge can lead learners to increased motivation and enthusiasm for learning.
Ph.D in Mathematics, 2018
McMaster University, Hamilton, Ontario, Canada
M.Sc in Applied Mathematics, 2014
National Research University of Electronic Technology (MIET), Zelenograd, Moscow, Russia
B.Sc in Information and Computer Science, 2012
National Research University of Electronic Technology (MIET), Zelenograd, Moscow, Russia
Dispersive Shock Waves
Sum-of-squares problems
Balance of gain and loss
Nonlinear Schrödinger equation
Nonlinear wave solutions of PDEs
MA448
Matrices and Vectors
Derivatives, Integrals and Series