Участник:Yury G. Kudryashov/CURRICULUM VITAE

General Information

Full name

Yury KUDRYASHOV (see ORCiD, AMS MathSciNet and Russian mathnet)

Sex

male

Marital status

married, have a son.

Contact information

+1(607)339-7068, ik333 at cornell dot edu

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)
• Doctoral 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

Cornell University, Department of Mathematics, since July 2016

Visiting Assistant Professor

Higher School of Economics, Faculty of Mathematics, September 2013—August 2016

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

• Yu. Kudryashov, V. Ramirez, “There are no new index theorems for quadratic vector fields on <math>\mathbb C^2</math>”, arXiv 1705.06340.
• Yulij Ilyashenko, Yury Kudryashov, Ilya Schurov, “Global bifurcations in the two-sphere: a new perspective”, arXiv 1506.06797, accepted to Inventiones Mathematicae.
• N. Goncharuk, Yu. Kudryashov, “Cheap Limit Cycles”, arXiv 1702.00897, provisionally accepted to Nonlinearity.
• N. Goncharuk, Yu. Kudryashov, “Bounded limit cycles of polynomial foliations of <math>\mathbb C^2</math>”, Bulletin of the Brazilian Mathematical Society, March 2017, Volume 48, Issue 1, pp 63–83 arXiv 1504.03313 DOI 10.1007/s00574-016-0005-9.
• N. Goncharuk, Yu. Kudryashov, “Genera of non-algebraic leaves of polynomial foliations of <math>\mathbb C^2</math>”, arXiv 1407.7878, submitted to Moscow Mathematical Journal.
• 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, DOI 10.1017/etds.2013.71.
• 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

Cornell University

• MATH 2210 Linear Algebra
• Math 4200 Dynamical Systems
• MATH 6170 Dynamical Systems
• MATH 6210 Measure Theory
• MATH 6220 Applied Functional Analysis

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.
• “Constructive math”, 2017.

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.

Organizing experience

Higher School of Economics

• The person responsible for 2nd-year students (2014-15) and for 3rd-year students (2015-16).
• The person responsible for the Olympiad for bachelor students that works as exams for the masters program (2015-16).

Moscow Mathematical Olympiad

• 2004, 2005 — responsible for 8th grade with M. Bershtein, 2011 — responsible for 9th grade.
• 2003–2012 — a member of jury and organizing committee

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.)

Grants

In 2013-14 and 2014-15 I won a personal research grant for professors of HSE. Also, I am a member of the group led by Yulij Ilyashenko that won several RFBR grants.

Education

Doctoral student (co-tutelle) in MSU, IUM and UMPA ENS Lyon, 2007–2010

• Doctoral 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.

• Supervisor: 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.

Secondary school achievements

Russian Mathematical Olympiad

diploma of II degree in 2002 and of I degree in 2001

Russian Team Programming Contest

second absolute place

Other skills and interests

My main hobby is Free/Open Source Software. In particular,

• C++/Qt, CMake. A few patches accepted to KDE project, CMake;
• bash, perl, ruby, python
• Valid HTML, CSS (base level);
• LaTeX, ConTeXt (but not plain TeX)
• Metapost, TikZ, Asymptote;
• Coq proof assistant. A few patches accepted to MathClasses project.