590 Malott Hall
Ph.D. (2016) Institute for Information Transmission Problems, Moscow
Dynamical systems and differential equations
I am currently interested in global bifurcations of planar vector fields. My previous research concerns:
- circle dynamics and its relations to one-dimentional complex dynamics;
- geometry of polynomial foliations in С^2.
Rotation numbers and moduli of elliptic curves, Functional Analysis and Its Applications, 46:1, (2012,) 11–25. (translated from Russian)
Complex rotation numbers (with X. Buff), Journal of Modern Dynamics, Volume 9 (2015), 169-190.
Bounded limit cycles of polynomial foliations in CP^2 (with Yu. Kudryashov) (arXiv:1504.03313), accepted to Bulletin of theBrazilian Mathematical Society.
Genera of non-algebraic leaves of polynomial foliations of C^2 (with Yu. Kudryashov) (arXiv:1407.7878).
Lecture notes of the course Ordinary differential equations, part I (with A. I. Bufetov and Yu.S.Ilyashenko) (in Russian), Moscow:the Board of Trustees of the Department of Mechanics and Mathematics of MSU, 2012. — 120 p.