Scholars

Assistant Professor

Positions:

Assistant Professor, Mathematics, College of Arts and Sciences

overview

I am interested in several topics in dynamical systems theore, including:

- circle dynamics;

- renormalization;

- real and complex rotation numbers;

- polynomial foliations;

- bifurcations of planar vector fields.

education and training

Ph.D. in Mathematics, National Research University Higher School of Economics - (Moscow, Russia) 2016

selected publications

Academic Articles17

Goncharuk, N., Khanin, K., & Kudryashov, Y. (2023). Circle homeomorphisms with breaks with no $\boldsymbol{C^{2-
u}}$ conjugacy. Journal of Modern Dynamics. 19(0), 751-772.
Goncharuk, N., & Yampolsky, M. (2022). Analytic linearization of conformal maps of the annulus. Advances in Mathematics. 409, 108636-108636.
Goncharuk, N., & Kudryashov, Y. (2022). Families of vector fields with many numerical invariants. Discrete and Continuous Dynamical Systems Series A. 42(1), 239-239.
Goncharuk, N., Kudryashov, Y. G., & Solodovnikov, N. (2021). New structurally unstable families of planar vector fields. NONLINEARITY. 34(1), 438-454.
Goncharuk, N. B., & Ilyashenko, Y. S. (2020). Selected issues of mathematics and mechanics. Труды Математического Института имени В. / Proceedings of the Steklov Institute of Mathematics / Trudy Matematicheskogo Instituta imeni V.A. Steklova. 310, 86-106.