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).
Languages
- Russian
- native
- English
- mathematical — fluent, general — almost fluent;
- French
- mathematical — almost fluent, general — I can read.
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.
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.
Independent University of Moscow, Math in Moscow program
- Differential Equations, with Ilya Schurov, Spring 2010;
- Dynamical Systems, Fall 2011 and Spring 2013.
This program is for foreign students. The credits are transferable to North American universities.
All courses (except for Russian Language) are given in English.
Summer School ”Contemporary Mathematics”
A school in Dubna, Russia for high-school students of the last two classes and for undergraduate students of the first two years.
Professor. Mini-courses:
- “Drawing how the wind blows, or vector fields on surfaces”, 2006, with T. Golenischeva—Kutuzova;
- “Billiards and drums”, 2008;
- “From random dynamical systems to smooth ones”, 2009;
- “Deterministic chaos”, 2010, with N. Goncharuk;
- “Maps of the circle and continuous fractions”, 2011, with N. Goncharuk;
- “Arnold's cat”, 2013, with N. Goncharuk.
- “Schottky groups”, 2015, with N. Goncharuk
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
Conference talks
- 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.
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.
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.)
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,