selected publications academic article Grigorchuk, R., Kogan, R., & Vorobets, Y. (2018). Automatic Logarithm and Associated Measures Vorobets, Y. (2017). On the commutator group of the group of interval exchange transformations. Proceedings of the Steklov Institute of Mathematics. 297(1), 285-296. Benli, M., Grigorchuk, R., & Vorobets, Y. (2014). On growth of random groups of intermediate growth. Groups Geometry and Dynamics. 8(3), 643-667. Vorobets, Y. (2012). Notes on the Schreier graphs of the Grigorchuk group. ADVANCES IN QUANTUM COMPUTATION. 567, 221-248. Vorobets, Y. (2011). Notes on the commutator group of the group of interval exchange transformations Savchuk, D., & Vorobets, Y. (2011). Automata generating free products of groups of order 2. Journal of Algebra. 336(1), 53-66. STEINBERG, B., VOROBETS, M., & VOROBETS, Y. (2011). AUTOMATA OVER A BINARY ALPHABET GENERATING FREE GROUPS OF EVEN RANK. International Journal of Algebra and Computation. 21(01n02), 329-354. Banakh, T., Verbitsky, O., & Vorobets, Y. (2010). Supplement to 'Fermat's Spiral and the Line Between Yin and Yang'. Loci. 2. Taras Banakh, .., Oleg Verbitsky, .., & Yaroslav Vorobets. (2010). Fermats Spiral and the Line Between Yin and Yang. American Mathematical Monthly. 117(9), 786-786. Vorobets, M., & Vorobets, Y. (2010). On a series of finite automata defining free transformation groups. Groups Geometry and Dynamics. 4(2), 377-405. Vorobets, M., & Vorobets, Y. (2007). On a free group of transformations defined by an automaton. Geometriae Dedicata. 124(1), 237-249. Vorobets, Y. (2005). Periodic geodesics on generic translation surfaces. ADVANCES IN QUANTUM COMPUTATION. 385, 205-258. Vorobets, Y. B. (2004). Actions of Finitely Generated Groups and Semigroups on a Plane by Means of Isometries. Russian Academy of Sciences: Mathematical Notes. 75(3/4), 489-512. Banakh, T., Verbitsky, O., & Vorobets, Y. (2000). A Ramsey treatment of symmetry. ELECTRONIC JOURNAL OF COMBINATORICS. 7(1 R), 1-25. Vorobets, Y. B. (1997). Billiards in rational polygons: Periodic trajectories, symmetries, and d-stability. Russian Academy of Sciences: Mathematical Notes. 62(1), 56-63. Vorobets, Y. B. (1997). Asymptotics of the spectrum of the Laplace-Beltrami operator on tori with Liouville and infra-Liouville metrics. Russian Mathematical Surveys. 52(2), 430-431. Vorobets, Y. B. (1997). Ergodicity of billiards in polygons. Sbornik: Mathematics. 188(3), 389-434. Vorobets, Y. B. (1996). Planar structures and billiards in rational polygons: the Veech alternative. Russian Mathematical Surveys. 51(5), 779-817. Vorobets, Y. B. (1996). Planar structures and billiards in rational polygons. Russian Mathematical Surveys. 51(1), 177-178. ., & Vorobets, Y. B. (1996). :. 51(4), 151-152. Vorobets, Y. B. (1994). On the measure of the set of periodic points of the billiard. Russian Academy of Sciences: Mathematical Notes. 55(5), 455-460. Vorobets, Y. B., Gal'perin, G. A., & Stepin, A. M. (1992). Periodic billiard trajectories in polygons: generating mechanisms. Russian Mathematical Surveys. 47(3), 5-80. Vorobets, Y. B., Gal'perin, G. A., & Stepin, A. M. (1991). Periodic billiard trajectories in polygons. Russian Mathematical Surveys. 46(5), 204-205.
co-principal investigator on Conference: Geometric and Probabilistic Methods in Group Theory and Dynamical Systems awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2016
teaching activities MATH304 Linear Algebra Instructor MATH311 Top In Applied Math I Instructor MATH409 Advanced Calculus I Instructor MATH415 Modern Algebra I Instructor MATH433 Applied Algebra Instructor MATH614 Dynamical Systems Instructor MATH662 Seminar In Algebra Instructor
education and training Ph.D. in Mathematics, Moscow State University - (Moscow, Russia) 1998 M.S. in Mathematics, Moscow State University - (Moscow, Russia) 1994