Math
From Ilya Schurov hq
This is a short overview of my math activity.
- Scientific interests Dynamical systems: slow-fast systems, limit cycles, attractors.
- Current affiliation State University — Higher School of Economics.
Contents |
Ph.D.
- PhD thesis topic Canard solutions in slow-fast systems on the two-torus. (Рус.: «Решения-утки в быстро-медленных системах на торе»; text (Russian), abstract (Russian), slides (Russian)
- Thesis adviser prof. Yulij Sergeevich Ilyashenko.
- Defended June 18, 2010.
Education
- 2006 — 2009. Moscow State University, Department of Mechanics and Mathematics. Ph.D. student. Differential equations, under supervision of Yulij Sergeevich Ilyashenko.
- 2001 — 2006, Moscow State University, Department of Mechanics and Mathematics. Student. Graduated cum laude.
Papers
- I. V. Schurov. Ducks On The Torus: Existence and Uniqueness. Journal of Dynamical and Control Systems, 16:2 (2010), 267—300. Preprint: arXiv:0910.1888v1 (math.DS)
- Щуров И.В. Уточные циклы в типичных быстро-медленных системах на торе., Труды ММО 71 (2010), 200-234
- Translation: I. V. Shchurov. Canard cycles in generic fast-slow systems on the torus. Transactions of the Moscow Mathematical Society, 2010, 175-207 PDF
- П. И. Каледа, И. В. Щуров. «Цикличность элементарных полициклов с фиксированным числом особых точек в типичных k-параметрических семействах». Алгебра и анализ. 22:4 (2010), 57—75)
- Translation: P. I. Kaleda; I. V. Shchurov. Cyclicity of elementary polycycles with fixed number of singular points in generic k-parameter families. St. Petersburg Math. J. 22 (2011), 557-571.
- I. V. Schurov. Duck farming on the two-torus: multiple canard cycles in generic slow-fast systems, submitted to the proceedings for the Eighth AIMS International Conference on Dynamical Systems, Differential Equations and Applications, arXiv:1008.0133 (Math.DS).
Conference talks
- Petrovskii Conference: Differential Equations and Related Topics, Moscow State University, 2007. Abstract: Ducks on the torus existence and uniqueness, Международная конференция, посвященная памяти И.Г.Петровского, тезисы докладов. — М.: Издательство МГУ, 2007 — с. 358.
- Topology, Geometry, and Dynamics: Rokhlin Memorial, January 11-16, 2010. Saint Petersburg, Russia. Canard cycles in generic slow-fast systems on the two-torus [abstract][slides]
- The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden University of Technology, Dresden, Germany, May 25—28, 2010. Canard cycles in generic slow-fast systems on the two-torus [slides].
Scientific schools participation
- Dynamical Systems Summer Schools under supervising of Yu. S. Ilyashenko: Dubna, Bezengi, Solovki, Slovakia (2003-2010).
- Recent trends in nonlinear sciences (RTNS 2010). 25 January 2010 — 29 January 2010, Segovia, Spain.
Conference organization
- Lyapunov Exponents and Related Topics in Dynamics and Geometry, French-Russian International Conference. Independent University of Moscow, Laboratoire Jean-Victor Poncelet, Moscow, January 24-28, 2005. Member of the organizing committee.
Teaching experience
- Junior mechanics and mathematics faculty («Малый мехмат МГУ»), 2001-2007, senior teacher.
- Participation in Limit cycles special course in Independent University of Moscow (2 lectures), 2009.
- Ordinary differential equations course in Math in Moscow program, Independent University of Moscow & State University — Higher School of Economics (jointly with Yury Kudryahov), Spring 2010.
Writings
- Modern Illustrated Encyclopedia: Mathematics, Informatics. (Рус.: Современная Иллюстрированная Энциклопедия: Математика, Информатика. Росмэн, 2007. ISBN 978-5-353-02884-0.) Author of several articles on calculus, differential equations and discrete math. (See incomplete list here.)
- Wikipedia, the free encyclopedia. Author of several articles on math and other topics (in Russian), see this automatically generated list.
