Nataliya Goncharuk

H.C. Wang Assistant Professor

590 Malott Hall

(607) 255-6494

Ph.D. (2016) Institute for Information Transmission Problems, Moscow

Research Area

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.

Selected Publications

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.