Dynamical Systems seminar is supported by RFBR project 20-01-00420-a and Laboratory Poncelet.
Участник:Yury G. Kudryashov/CURRICULUM VITAE
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General Information
- Full name
- Yury KUDRYASHOV (see AMS MathSciNet and Russian mathnet)
- Sex
- male
- Marital status
- married, have a son.
- Contact information
- +7(926)287-8617, urkud at urkud.name
- Ph. D in Mathematics
- co-tutorship program of Moscow State University and École Normale Superieure de Lyon, Independent University of Moscow.
- “Des orbites périodiques et des attracteurs des systémes dynamiques” (ENS Lyon, 9 December 2010);
- “Костлявые аттракторы и магические бильярды” (MSU, 20 May 2011)
- Science advisors: Étienne Ghys (ENS Lyon) and Yulij Ilyashenko (MSU, IUM).
Positions
- Higher School of Economics, Faculty of Mathematics, since September 2013
- Docent (like Assoc. Prof. in USA or Maître de conférences in France).
- Higher School of Economics, Higher Mathematics Department, September 2011–August 2014
- Docent (like Assoc. Prof. in USA or Maître de conférences in France).
- Moscow Institute of Open Education, October 2010–August 2011
- Laboratory of distant learning, researcher.
- Moscow Center for Continuous Mathematical Education, September 2010–August 2011
- Secondary school olympiads department, employee
- organized various olympiads (including preparation of problems), was a jury member
- organized various events related to the preparation of Moscow Team to the Russian National Mathematical Olympiad
- Moscow State School #57, 2004–2008, 2010–2013
- Teacher (selected topics of Calculus, Algebra and Mathematical logic)
Scientific interests
I am interested in dynamical systems, including
- hyperbolic and partially hyperbolic diffeomorphisms;
- geometric structure of attractors;
- dynamical billiards;
- bifurcations of vector fields;
- complex foliations.
I'm also interested in teaching math.
Publications
Mathematics
- Yulij Ilyashenko, Yury Kudryashov, Ilya Schurov, “An open set of structurally unstable families of vector fields in the two-sphere”, arXiv 1506.06797.
- N. Goncharuk, Yu. Kudryashov, “Bounded limit cycles of polynomial foliations of <math>\mathbb C^2</math>”, arXiv 1504.03313.
- N. Goncharuk, Yu. Kudryashov, “Genera of non-algebraic leaves of polynomial foliations of <math>\mathbb C^2</math>”, arXiv 1407.7878.
- Yu. Kudryashov, “Bony attractors in higher dimension”, arXiv 1305.3889.
- V. Kleptsyn, Yu. Kudryashov, “A curve in the unstable foliation of an Anosov diffeomorphism with globally defined holonomy”, Ergodic Theory and Dynamical Systems, Volume 35, Issue 03, May 2015, pp 935–943.
- A. Glutsyuk, Yu. Kudryashov, “No planar billiard possesses an open set of quadrilateral trajectories”, Journal of Modern Dynamics, 6:3 (2012), 287–326.
- A. Glutsyuk, Yu. Kudryashov, “On quadrilateral orbits in planar billiards”, Doklady Mathematics, 83:3 (2011), 590–592.
- Yu. Kudryashov, “Bony attractors”, Functional Analysis and Its Applications, 2010, 44:3, 219–222
Mathematical education (all in Russian)
- Elements of mathematics in problems (with solutions and comments). Part 1, T. Golenishcheva–Kutuzova, A. Kazantsev, Yu. Kudryashov, A. Kustarev, G. Merzon, I. Yashchenko, 2010, 248 p.
- Elements of mathematics in problems (with solutions and comments). Part 2, T. Golenishcheva–Kutuzova, A. Kazantsev, Yu. Kudryashov, A. Kustarev, G. Merzon, I. Yashchenko, 2011, 160 p.
- Moscow Mathematical Olympiads. Years 1935–1957, V. Prasolov, T. Golenishcheva–Kutuzova, A. Kanel–Belov, Yu. Kudryashov, I. Yashchenko, 2010, 344 p.
- Contemporary illustrated encyclopedia. Mathematics. Informatics, M.: Rosman, 2007. Articles:
- Gauss line (1469 symbols), pp. 85r–86l
- Functions of real arguments (with V. Skvortsov, 6446 symbols), pp. 453l–454r
- Fourier series (with A. Andreeva, 4584 symbols), pp. 457r–458r
- Center of mass (2838 symbols), pp. 467l–467r
- Euler angles (990 symbols), pp. 492r–493
Editor (all in Russian)
- Linear inequalities and combinatorics, M. Vyaly, M.: MCCME, 2003, 32 p.
- Numeral systems and their applications, S. Gashkov, M.: MCCME, 2004, 52 p.
Education
- Doctoral student (co-tutelle) in MSU, IUM and UMPA ENS Lyon, 2007–2010
-
- Science advisors: Yu. S. Ilyashenko (MSU, IUM) and Étienne GHYS (ENS Lyon)
- Defended Ph.D. in ENS Lyon, 09 December 2010.
- Defended Ph.D. in MSU, 25 May 2011.
- Member of exchange program between IUM and ENS Paris, January–February 2007
- Student of Department of mechanics and mathematics of MSU, 2002–2007.
-
- Science advisor: Yu. S. Ilyashenko.
- Graduated with honours.
- Secondary school student,
- Advanced Education and Science Center (Moscow State University Kolmogorov lyceum), 2000–2002
- Participant of Summer school «Contemporary mathematics», July 2001–2004.
Conferences
- September 2014
- “Workshop Geometry and Dynamics of Foliations”, Madrid, Spain
- August 2014
- “Summer School on Dynamical Systems”, College Park University of MD, USA
- May 2010
- «Algebraic Methods in Dynamical Systems», Poznan, Poland.
- May 2010
- «Séminaire Atlantique de Géometrie Ergodique», Bilbao, Spain.
- January 2010
- «Topology, Geometry and Dynamics: Rokhlin Memorial», St. Petersburg, Russia.
- February 2007
- «Laminations and group actions in dynamics», Moscow, Russia.
Languages
- Russian
- native
- English
- mathematical — fluent, general — almost fluent;
- French
- mathematical — almost fluent, general — I can read.
Organizing experience
- Russian National Mathematical Olympiad
- 2004, 2007, 2011 — one of the Moscow city team leaders
- Schools for the members of Moscow team to Russian National Olympiad
- Fall 2010, Spring 2011 — organizing (timetable, invitations for students and teachers etc.)
Teaching experience
Higher School of Econimics
- Faculty of Mathematics
-
- “Calculus” for 1st year bachelor students (mandatory course, practice lessons);
- “Calculus” for 2nd year bachelor students (mandatory course, practice lessons);
- “Variational Calculus” for 3rd and 4th year bachelor students (elective course, lectures and practice lessons);
- “Programming in Python” for bachelor students (elective course, lectures and practice lessons);
- “Ordinary Differential Equations” for 2nd year bachelor students (mandatory course, practice lessons);
- “Probability” for 3rd year bachelor students (mandatory course, practice lessons).
- Bachelor in Economics (a joint HSE-New Economic School Program)
-
- “Topology”: an elective course (lectures and practice lessons);
- “Calculus” (practice lessons), mostly based on Stewart, part I;
- “Linear algebra” (practice lessons);
- “Calculus: functions of several variables” (lectures), mostly based on Stewart, part II.
- Other faculties
-
- An introductory course for non-mathematicians (Loans, Probability Theory, Calculus) for bachelor students in politology (practice lessons) and in history (lectures);
- A two-year course for bachelor students in Philology (Linguistics) including Combinatorics, Probability Theory, Set Theory, Graph Theory, Finite State Automata and Regular Expressions, Information Theory (lectures and practice lessons);
- A two-year course for master students in Linguistics on Probability and Statistics.
Math in Moscow
- Differential Equations, with Ilya Schurov, Spring 2010;
- Dynamical Systems, Fall 2011 and Spring 2013;
Summer School ”Contemporary Mathematics”
Dubna, Russia Professor. Mini-Courses on dynamical systems in 2006, 2008, 2009, 2010, 2011, 2013, 2015.
For high-school students
- Moscow State School #57
- 2004–2007, since 2010: teacher (basics of Calculus, Algebra, Geometry)
- Schools for the members of Moscow team to Russian National Olympiad
- 2004–2011: professor
Secondary school achievements
- Russian Mathematical Olympiad
- diploma of II degree in 2002 and of I degree in 2001
- Russian Olympiad in Programming
- diploma of II degree in 2002
- Russian Team Programming Contest
- second absolute place
Other skills and interests
My main hobby is Free/Open Source Software. In particular,