Dynamical Systems seminar is supported by RFBR project 20-01-00420-a and Laboratory Poncelet.
Участник:Nataliya Goncharuk/CURRICULUM VITAE: различия между версиями
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; [http://ium.mccme.ru/dobfnd.html Dobrushin scholarship (ru)]: spring 2010 – spring 2012 (all semesters). | ; [http://ium.mccme.ru/dobfnd.html Dobrushin scholarship (ru)]: spring 2010 – spring 2012 (all semesters). | ||
=Secondary school | =Secondary school achievements= | ||
==Olympiads== | ==Olympiads== | ||
; International Mathematical Olympiad | ; International Mathematical Olympiad |
Версия от 05:13, 25 февраля 2015
General information
- Sex
- Female
- Born
- 15.07.1989 in Kharkiv, Ukraine
- Nationality
- Russia
- Family status
- Married
- Address
- Russia, 119002, Moscow, Bolshoi Vlassievsky per., 11
- Contacts
- natalka@mccme.ru, +7(909)952-64-03
Current position
- Postgraduate student, science advisor is Yulij S. Ilyashenko
Research interests
- Dynamics on the circle
- Complex dynamics
- Complex foliations
Publications
Mathematics
- N. Goncharuk, «Rotation numbers and moduli of elliptic curves», Functional Analysis and Its Applications, 2012, 46:1, 11–25 pp. (translated from Russian)
- X. Buff, N. Goncharuk, «Complex rotation numbers», submitted to Journal of Modern Dynamics.
- N. Goncharuk, Yu. Kudryashov, «Genera of non-algebraic leaves of polynomial foliations of C^2», arXiv:1407.7878
Teaching aids (in Russian)
A. I. Bufetov, N.B.Goncharuk, Yu.S.Ilyashenko, Lecture notes of the course «Ordinary differential equations», part I, Moscow: the Board of Trustees of the Department of Mechanics and Mathematics of MSU, 2012. — 120 p.
The latest version of the lecture notes is here.
Education
Mainline
- 2012–Present, PhD student
- Higher School of Economics, Mathematical department;
- Independent University of Moscow
- Science advisor (both universities): Yulij S. Ilyashenko
- 2007–2012, student
- Lomonosov Moscow State University, Department of Mechanics and Mathematics;
- Independent University of Moscow
- Science advisor: Yulij S. Ilyashenko
- Master thesis «Rotation numbers and moduli of elliptic curves»
- Graduated with honours
- 2006–2007, student
- Karazin Kharkiv National University, Department of Mechanics and Mathematics.
- 1999–2006, secondary school student
- Kharkiv Physics and Mathematics Lyceum No 27
Summer schools
- Dynamical Systems Summer Schools under supervising of Yu. S. Ilyashenko: 2007–2011, 2013, 2014, Dubna (Russia), Štôla (Slovakia).
- Summer school «Modern Mathematics», Dubna, Russia, 2006–2009.
- Kirov Multisubject Summer School (Mathematics), 2004–2005.
- Summer Conference of Tournament of Towns, 2004–2005.
- St. Petersburg mathematical summer school, 2002–2003.
Languages
Russian (native), English, Ukrainian
Talks
Conference talks
- International conference «Spectral Theory and Differential equations» dedicated to the Anniversary of B.M.Levitan (Moscow, Russia), June 2014
- Talk «Geometry of non-algebraic solutions of polynomial vector fields in CP²».
- International conference «Holomorphic foliations and complex dynamics» (Moscow, Russia), June 2012
- Talk «Complex rotation numbers»
- ESF conference «Algebraic Methods in Dynamical Systems» (Bedlewo, Poland), May 2010
- Poster «The rotation number and the moduli of elliptic curves».
Seminar talks
- Seminar “Riemann surfaces, Lie algebras, and mathematical physics” (S.M.Natanzon, O.V.Schwarzman, O.K.Sheinman)
- Independent university of Moscow, November 2014
- Talk «The genus of non-compact leaves of polynomial foliations in CP^2»
- Seminar “Sistemas Dinámicos”
- UNAM, Instituto de Matemáticas, Cuernavaca, 22.05.2014
- Talk “The topology of solutions of polynomial vector fields in ℂ²”
- “Seminario de foliaciones y singularidades”
- UNAM, Instituto de Matemáticas, Mexico, 27.02.2014
- Talk «Complex rotation numbers»
- Seminar “Riemann surfaces, Lie algebras, and mathematical physics” (S.M.Natanzon, O.V.Schwarzman, O.K.Sheinman)
- Independent university of Moscow, November 2012
- Talk «Complex rotation numbers»
- Weekly seminar of Laboratory of Algebraic Geometry and its Applications
- Moscow, Higher school of economics, April 2012
- Talk «Rotation numbers and moduli of elliptic curves»
- Seminar «Complex analysis in several variables» (Vitushkin Seminar)
- Moscow, MSU, March 2012
- Talk «Rotation numbers and moduli of elliptic curves»
- Seminar of the Department of Differential Equations
- Moscow, Steklov Mathematical Institute
- April 2011: Talk «Rotation numbers and moduli of elliptic curves»
- April 2010: Talk «Rotation numbers and the moduli of elliptic curves»`
- Séminaire à l’UMPA de géométrie et dynamique, ENS Lyon
- April 2011: Talk «The limit behaviour of complex rotation number»
- February 2010: Talk «The rotation number and the moduli of elliptic curves»
Professional experience
- Mini-course «Complex rotation numbers»
- Moscow, Higher School of Economics, Russian–Japaneze mathematical winter school, February 2013
- Course «Rotation numbers and moduli of elliptic curves»
- Moscow, Independent University of Moscow, September–December 2012
- Proseminar «Dynamical systems» for 1st and 2nd year undergraduate students
- Moscow State University, September–December 2012
- organization (with A. Bufetov and O. Romaskevich); a couple of lectures.
- Summer school «Modern Mathematics» (Dubna, Russia), mini-courses
- «Arnold's cat» (with Yury Kudryashov), July 2013
- «Maps of the circle and continuous fractions» (with Yury Kudryashov), July 2011.
- «Deterministic Chaos» (with Yury Kudryashov), July 2010.
- Moscow State School #57
- Teacher (selected topics of Calculus, Algebra and Mathematical logic), 2011–2012
Grants and scholarships
- Simons Foundation grant
- Winner in nomination «Students and postgraduates», 2013
- August Möbius Contest
- Winner in nomination «Undergraduates», 2012
- Open Contest of research works held by Higher School of Economics
- Winner in nomination «Mathematics», 2011
- Dobrushin scholarship (ru)
- spring 2010 – spring 2012 (all semesters).
Secondary school achievements
Olympiads
- International Mathematical Olympiad
- Gold medal, 2006 (Ukranian team)
- National Ukranian Mathematical Olympiad
- diploma of 1st degree, 2003–2006.
- Tournament of Towns
- diploma of a winner, 2000–2005
- Kyiv International Mathematics Festival
- Gran-Prix (individual championship), 2004
Team contests
- Ural Tournament of Mathsfights (captain of the team)
- 2nd team place, 2003
- International Mathematical Tournament «The cup in memory of A. N. Kolmogorov», hightest junior league (captain of the team)
- 3rd team place, 2003
Grants for winners of olympiads
- Ukrainian president grant
- 2006/2007
- Grant of the Kharkiv Fund for Young Talents’ Support
- 2003, 2005, 2006
- Kharkiv mayor grant «Endowments»
- 2002–2006