Math

From Ilya Schurov hq

This is a short overview of my math activity.

• Scientific interests Dynamical systems: slow-fast systems, limit cycles, attractors.
• PhD thesis topic Canard solutions in slow-fast systems on the two-torus.
  • Классификатор ВАК: 010102
  • УДК: 517.925.42 + 517.938
  • AMS MSC 2010: 70K70, 37G15.
• Thesis adviser prof. Yulij Sergeevich Ilyashenko.
• Planned defense date 2010.

Contents 1 Education 2 Papers 3 Conference talks 4 Scientific schools participation 5 Conference organization 6 Teaching experience 7 Writings

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. Schurov. Ducks on the torus: existence and uniqueness. To appear in Journal of Dynamical and Control Systems, accepted in 2009. arXiv:0910.1888v1 (math.DS)
• I. Schurov. Canard cycles in generic slow-fast systems on the two-torus. To appear in ”Transactions of the Moscow Mathematical Society”, accepted in 2009. (Рус.: Уточные циклы в типичных быстро-медленных системах на торе.)
• P. Kaleda, I. Schurov. Cyclicity of Elementary Polycycles with Fixed Singular Points Number in Generic k-Parametric Families. Submitted. (Рус.: «Цикличность элементарных полициклов с фиксированным числом особых точек в типичных k-параметрических семействах».)

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]

Scientific schools participation

• Dynamical Systems Summer Schools under supervising of Yu. S. Ilyashenko: Dubna, Bezengi, Solovki, Slovakia (2003-2009).
• 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 (until current time).

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.