Research
Functional Analysis & PDEs
- Kato square root problem: solved for coercive problems in Lipschitz domains (with M. Agranovich; top 10% cited paper in Mathematics, 2013) — Funct. Anal. Appl. 2013
- Differential-difference equations: parabolic boundary-value problems, solvability and initial-data spaces — Diff. Equations 2015
- Nonlinear optics (application): models of optical systems with 2-D feedback — Mat. Model. 2012
Machine Learning & Optimization
- Neural optimal transport: convergence and stability of semi-dual neural OT maps — arXiv 2605.05569
- Neural PDE solvers: Deep Ritz method for differential-difference equations — AMS 2025 abstract
Audio & Generative AI
- Source separation: music source separation with generative flow — IEEE Signal Processing Letters 2022 · project page for music source separation
- Voice conversion: discrete optimal transport and one-step kNN transport in WavLM space — ICMLT 2026 · arXiv 2609.27230 · project page for one-step voice conversion
- Audio biometrics & security: discrete optimal transport as a strong adversarial attack on speaker verification — IJCB 2026
Full publication list · Full publication list (PDF) · Google Scholar profile
Courses
Stony Brook University
- ESE 561 Theory of Artificial Intelligence course materials and recorded lectures
- ESE 670 Bayesian Deep Learning recorded lectures (YouTube)
Rochester Institute of Technology
- CSCI 539 Large Language Models course materials and recorded lectures
- CSCI 335 Machine Learning course materials and recorded lectures
- CSCI 141 Computer Science I recorded lectures (YouTube)
- CSCI 665 Theory of Algorithms Spring 2024
- Bayesian Deep Learning independent study course, Spring 2024
Moscow Aviation Institute
- Partial Differential Equations, Calculus, Linear Algebra and Geometry (2004-2008)
Teaching Philosophy
I firmly believe that motivation and understanding are the cornerstones of effective education. Over my 10 years of teaching experience, I have found that students truly enjoy studying when they grasp the underlying concepts and purpose behind what they are learning.
Appointments
- Professor of Practice, Stony Brook University, Stony Brook, NY 2026–present
- Postdoctoral Associate, University of Rochester, Rochester, NY 2026
- Visiting Lecturer, Rochester Institute of Technology, Rochester, NY 2023–2025
- Research Assistant, University of Rochester, Rochester, NY 2021–2022
- Senior Researcher, Russian Academy of Sciences, Moscow, Russia 2012–2018
- Associate Professor, Moscow Aviation Institute, Moscow, Russia 2008–2012
- Senior Lecturer, Moscow Aviation Institute, Moscow, Russia 2007–2008
- Lecturer, Moscow Aviation Institute, Moscow, Russia 2004–2005
Education
- PhD, Electrical and Computer Engineering, University of Rochester 2022–2026
- MS, Electrical and Computer Engineering, University of Rochester 2020–2022
- MA, Opera Performance, Russian Academy of Music 2008–2013
- PhD, Mathematics, Moscow State University 2004–2007
- BS/MS, Applied Mathematics, Moscow Aviation Institute 1998–2004