معرفی
Nataliia Goncharuk is an Assistant Professor in the Department of Mathematics at Texas A&M University, part of the College of Arts & Sciences. She holds a PhD in Mathematics from the Institute for Information Transmission Problems, Moscow, under the supervision of Yulij S. Ilyashenko. Her research focuses on dynamical systems, bifurcation theory, complex dynamics, and renormalization, with notable contributions to topics like Arnold tongues, polynomial foliations, and bubble dynamics. She has received prestigious awards, including the 2018 Moscow Mathematical Society Prize and Simons Foundation grants. Dr. Goncharuk teaches courses such as Dynamical Systems and Chaos, Complex Variables, and has organized workshops on Groups and Dynamics. Her work bridges theoretical insights with applications in topology and geometry, including contributions to the understanding of fractal structures and structural instability in dynamical systems.
Educations: PhD in Mathematics (2016, Institute for Information Transmission Problems), MS in Mathematics (2012, Lomonosov Moscow State University and Independent University of Moscow). Postdoctoral experience includes roles at the University of Toronto, Cornell University, and Higher School of Economics.
Research interests include global bifurcations, circle dynamics, renormalization, and complex rotation numbers. Recent work explores anti-classification results in dynamical systems and smoothness properties of Arnold tongues. Her publications span journals like Analysis & PDE, Nonlinearity, and the Moscow Mathematical Journal.
Awards and recognitions highlight her contributions to dynamical systems, including the August Möbius Contest (2012) and Gold Medal in the International Mathematical Olympiad (2006). She actively engages in outreach, leading summer math programs and math circles focused on fractals and topology.
