Dynamical Systems seminar is supported by RFBR project 20-01-00420-a and Laboratory Poncelet.
Участник:Nataliya Goncharuk/CURRICULUM VITAE
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General information
- Sex
- Female
- Date of birth
- 15.07.1989
- Place of birth
- Ukraine, Kharkiv
- 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», in preparation.
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.
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: Dubna, Slovakia, 2007–2011
- 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 «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
- 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
- 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
- «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
- 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 achievemnts
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