Yaroslav Vorobets

Yaroslav Vorobets is an Associate Professor in the Department of Mathematics at Texas A&M University, part of the College of Arts & Sciences. He holds a Ph.D. (1998) and M.S. (1994) from Moscow State University. His research focuses on Dynamical Systems, Group Theory, and related areas such as Topological Groups, Automata Theory, and Billiards in Polygons.

His work spans theoretical studies of group actions (e.g., Grigorchuk group dynamics, topological full groups), ergodic properties of billiards, and applications of automata theory. Notable contributions include studies on maximal subgroups in ample groups, Schreier graphs, and free groups generated by automata. Vorobets has taught advanced undergraduate and graduate courses in linear algebra, differential equations, and abstract algebra, reflecting his expertise in foundational mathematical structures.

Key research themes include the interplay between algebraic structures (groups, automata) and dynamical systems, with applications to geometric and probabilistic contexts. His publications address topics like measure transformations under automata actions, growth properties of random groups, and periodic orbit stability in billiard systems.