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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(updated position and publications) |
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=Current position= | =Current position= | ||
; | ;HC Wang Assistant professor, Cornell university, Ithaca, NY | ||
=Research interests= | =Research interests= | ||
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* Complex dynamics | * Complex dynamics | ||
* Complex foliations | * Complex foliations | ||
* Global bifurcations of planar vector fields | |||
=Publications= | =Publications= | ||
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* N. Goncharuk, [http://dx.doi.org/10.1007%2Fs10688-012-0002-8 «Rotation numbers and moduli of elliptic curves»], [http://link.springer.com/journal/10688 Functional Analysis and Its Applications], 2012, 46:1, pp. 11–25. (translated from [http://dx.doi.org/10.4213/faa3064 Russian]) | * N. Goncharuk, [http://dx.doi.org/10.1007%2Fs10688-012-0002-8 «Rotation numbers and moduli of elliptic curves»], [http://link.springer.com/journal/10688 Functional Analysis and Its Applications], 2012, 46:1, pp. 11–25. (translated from [http://dx.doi.org/10.4213/faa3064 Russian]) | ||
* X. Buff, N. Goncharuk, «[http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=11622 Complex rotation numbers]», [http://aimsciences.org/journals/JMD/jmd_online.jsp Journal of Modern Dynamics], Volume 9 (2015), pp. 169-190. | * X. Buff, N. Goncharuk, «[http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=11622 Complex rotation numbers]», [http://aimsciences.org/journals/JMD/jmd_online.jsp Journal of Modern Dynamics], Volume 9 (2015), pp. 169-190. | ||
* N. Goncharuk, Yu. Kudryashov, [http://arxiv.org/abs/ | * N. Goncharuk, Yu. Kudryashov, [http://arxiv.org/abs/1504.03313 «Bounded limit cycles of polynomial foliations in C^2»] Bulletin of the Brazilian Mathematical Society, New Series (2016). (see also arXiv:1504.03313). | ||
* N. Goncharuk, Yu. Kudryashov, [http://arxiv.org/abs/ | * N. Goncharuk, Yu. Kudryashov, “Cheap limit cycles” (arXiv:1702.00897), submitted to Nonlinearity, a positive review received. | ||
* N. Goncharuk, Yu. Kudryashov, [http://arxiv.org/abs/1407.7878 «Genera of non-algebraic leaves of polynomial foliations of C^2»] (arXiv:1407.7878), submitted to Moscow Mathematical Journal. | |||
* N. Goncharuk, “Complex rotation numbers: bubbles and their intersections” (arXiv:1708.01077), submitted to Analysis and PDE. | |||
* N.Goncharuk, Yu. Ilyashenko, N.Solodovnikov, “Global bifurcations in generic one-parameter families with a parabolic cycle on S2” ( arXiv:1707.09779). | |||
==Teaching aids (in Russian)== | ==Teaching aids (in Russian)== | ||
Версия от 05:59, 6 ноября 2017
General information
- Sex
- Female
- Born
- 15.07.1989 in Kharkiv, Ukraine
- Nationality
- Russia
- Family status
- Married, have a son.
- Address
- Russia, 143983, Moscowskaya obl., Zheleznodorozhniy, Granichnaya street, 40, ap. 241
- Contacts
- natalka@mccme.ru, +7(909)952-64-03
Languages
Russian (native), English, Ukrainian. I can also read in French.
Current position
- HC Wang Assistant professor, Cornell university, Ithaca, NY
Research interests
- Dynamics on the circle
- Complex dynamics
- Complex foliations
- Global bifurcations of planar vector fields
Publications
Mathematics
- N. Goncharuk, «Rotation numbers and moduli of elliptic curves», Functional Analysis and Its Applications, 2012, 46:1, pp. 11–25. (translated from Russian)
- X. Buff, N. Goncharuk, «Complex rotation numbers», Journal of Modern Dynamics, Volume 9 (2015), pp. 169-190.
- N. Goncharuk, Yu. Kudryashov, «Bounded limit cycles of polynomial foliations in C^2» Bulletin of the Brazilian Mathematical Society, New Series (2016). (see also arXiv:1504.03313).
- N. Goncharuk, Yu. Kudryashov, “Cheap limit cycles” (arXiv:1702.00897), submitted to Nonlinearity, a positive review received.
- N. Goncharuk, Yu. Kudryashov, «Genera of non-algebraic leaves of polynomial foliations of C^2» (arXiv:1407.7878), submitted to Moscow Mathematical Journal.
- N. Goncharuk, “Complex rotation numbers: bubbles and their intersections” (arXiv:1708.01077), submitted to Analysis and PDE.
- N.Goncharuk, Yu. Ilyashenko, N.Solodovnikov, “Global bifurcations in generic one-parameter families with a parabolic cycle on S2” ( arXiv:1707.09779).
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.
Talks
Conference talks
- AMS - EMS - SPM joint meeting (Porto, Portugal), June 2015
- Talk «Genera of non-algebraic leaves of polynomial foliations of CP^2»
- 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
- Oliver Mathematical club
- Cornell university, Ithaca (state of New York, USA), October 2015
- Talk “Bubbles”
- Seminar “Riemann surfaces, Lie algebras, and mathematical physics” (S.M.Natanzon, O.V.Schwarzman, O.K.Sheinman)
- Independent university of Moscow, November 2014
- Talk «Genera 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
- Course «Calculus-1» (lectures and practice)
- Moscow, "Bachelor of Arts in Economics" joint program of New Economic School (NES) and the Higher School of Economics (HSE), autumn 2015.
- Course «Introduction to modern topology» (lectures and practice)
- Moscow, "Bachelor of Arts in Economics" joint program of NES and HSE, autumn 2014.
- Course «Calculus-2» (practice)
- Moscow, "Bachelor of Arts in Economics" joint program of of NES and HSE, autumn 2013.
- Mini-course «Complex rotation numbers» (in English)
- 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 2011
- Proseminar «Dynamical systems» for 1st and 2nd year undergraduate students
- Moscow State University, September–December 2011
- organization (with A. Bufetov and O. Romaskevich); a couple of lectures.
- Summer school «Modern Mathematics» (Dubna, Russia), mini-courses
- «Schottky groups» (with Yury Kudryashov), July 2015
- «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
Personal grants and scholarships
- Simons Foundation grant for students and postgraduates mathematicians
- 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).
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, 2013–2015, 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.
Secondary school achievements
Olympiads
- International Mathematical Olympiad
- Gold medal, 2006 (Ukranian team)
- National Ukranian Mathematical Olympiad
- diploma of 1st degree, 2003–2006.
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
