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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=Seminar talks= | =Seminar talks= | ||
; | ;On Bifurcations of planar vector fields: | ||
: Topological seminar, Department of Mathematics, Cornell university. November 2016 | |||
; | ; On Bubbles and complex rotation numbers: | ||
:Talk | :Oliver club, Cornell university, March 2019. | ||
:Meeting of the Moscow mathematical society, Moscow. December 2018. | |||
:Dynamical systems seminar, Institute for Mathematical Sciences, Stony Brook university. September 2017 | |||
:Dynamical systems seminar, Department of Mathematics, Cornell university. October 2017 and October 2016 | |||
:CAPA seminar , Uppsala, Sweden, May 2016 | |||
:Oliver Mathematical club, Cornell university, [http://www.math.cornell.edu/m/node/7443 October 2015] | |||
:UNAM, Instituto de Matemáticas, Mexico, “Seminario de foliaciones y singularidades” 27.02.2014 | |||
:Seminar “Riemann surfaces, Lie algebras, and mathematical physics” (S.M.Natanzon, O.V.Schwarzman, O.K.Sheinman) | |||
Independent university of Moscow, November 2012 | |||
Talk [http://ium.mccme.ru/f12/rsmph.html#23ноября2012 «Complex rotation numbers»] | |||
:Weekly seminar of Laboratory of Algebraic Geometry and its Applications, | |||
Moscow, Higher school of economics, April 2012 | |||
:Seminar «Complex analysis in several variables» (Vitushkin Seminar), Moscow, MSU, March 2012 | |||
:Seminar of the Department of Differential Equations, Moscow, Steklov Mathematical Institute, April 2011 and April 2010. | |||
:Séminaire à l’UMPA de géométrie et dynamique, ENS Lyon, April 2011 and February 2010. | |||
; | ;On complex polynomial foliations | ||
:Seminar “Riemann surfaces, Lie algebras, and mathematical physics” (S.M.Natanzon, O.V.Schwarzman, O.K.Sheinman) | |||
: | Independent university of Moscow, November 2014, Talk [http://ium.mccme.ru/f14/rsmph.html#21ноября2014 «Genera of non-compact leaves of polynomial foliations in CP^2»] | ||
:Seminar [http://www.matcuer.unam.mx/seminarios.php?sem=6 “Sistemas Dinámicos”] | |||
UNAM, Instituto de Matemáticas, Cuernavaca, May 2014, | |||
Talk [http://www.matcuer.unam.mx/actividades.php?actv=1019 “The topology of solutions of polynomial vector fields in ℂ²”] | |||
;Weekly seminar of Laboratory of Algebraic Geometry and its Applications | ;Weekly seminar of Laboratory of Algebraic Geometry and its Applications | ||
| Строка 161: | Строка 156: | ||
: April 2011: Talk «The limit behaviour of complex rotation number» | : April 2011: Talk «The limit behaviour of complex rotation number» | ||
: February 2010: Talk «The rotation number and the moduli of elliptic curves» | : February 2010: Talk «The rotation number and the moduli of elliptic curves» | ||
=Summer schools= | =Summer schools= | ||
Версия от 06:57, 5 июня 2019
General information
- Sex
- Female
- Born
- 15.07.1989 in Kharkiv, Ukraine
- Nationality
- Russia
- Family status
- Married, have two sons.
- Address
- Russia, 143983, Moscowskaya obl., Zheleznodorozhniy, Granichnaya street, 40, ap. 241
- Address in USA
- 590 Malott hall, Cornell university, Ithaca, NY.
- Contacts
- natasha@urkud.name, ng432@cornell.edu, natalka@mccme.ru, +1 607 351 87 10 (USA), +7(909)952-64-03 (Russia)
Languages
Russian (native), English, Ukrainian. I can also read in French.
Education
- 2012–2015, 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
Current position
- HC Wang Assistant professor, Cornell university, Ithaca, NY (2016-2019)
Next position
- Post-doctoral student, University of Toronto, Canada.
Research interests
- Dynamics on the circle
- Complex dynamics
- Complex foliations
- Global bifurcations of planar vector fields
Publications
- Thesis: Circle diffeomorphisms and complex dynamics, 2016. Doctoral advisor: Yu.Ilyashenko.
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 (2017), Volume 48, Issue 1, pp 63–83. See also on arxiv.
- N. Goncharuk, Yu. Kudryashov, “Cheap limit cycles” (arXiv:1702.00897), Nonlinearity, Volume 31, Number 3 (2018).
- N. Goncharuk, Yu. Kudryashov, «Genera of non-algebraic leaves of polynomial foliations of C^2» (arXiv:1407.7878), Moscow Math. J., Volume 18, Issue 1, 2018, pp. 63–83.
- N. Goncharuk, “Complex rotation numbers: bubbles and their intersections” (arXiv:1708.01077), Analysis and PDE, Volume 11, No 7 (2018), pp. 1787 – 1801.
- N. Goncharuk, “Self-similarity of bubbles”, arxiv:1805.04769, accepted to Nonlinearity.
- N.Goncharuk, Yu. Ilyashenko, N.Solodovnikov, “Global bifurcations in generic one-parameter families with a parabolic cycle on S2” ( arXiv:1707.09779).
- N.Goncharuk, Yu. Ilyashenko, “Large bifurcation supports”, arXiv:1804.04596.
- N. Goncharuk, Yu. Kudryashov, “Bifurcations of the polycycle "tears of the heart": multiple numerical invariants”, arXiv:1808.07459, submitted to Moscow Mathematical Journal; positive review received.
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. (in Russian)
More complete version of the lecture notes is here.
Teaching
- Cornell university (2016-2019)
- “Real analysis” (6110), “Dynamical systems“ (6260), “Honors introduction to Analysis I” (4130), “Intro to Analysis” (3110), “Introduction to Differential equations”(3120) – 3 times, “Calculus II” (1120).
- "Bachelor of Arts in Economics" joint program of NES and HSE, Moscow (2013-2016)
“Calculus-1” (large lecture course), “Introduction to modern topology” (lectures and practice), “Calculus-2” (practical session).
- Summer school “Modern Mathematics” (Dubna, Russia), mini-courses (2010-2017)
- “Bifurcations of planar vector fields”, July 2017
- «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.
- Russian–Japaneze mathematical winter school (2013), Moscow, Higher School of Economics,
Mini-course “Complex rotation numbers”
- Independent university of Moscow (2011)
- course “Rotation numbers and moduli of elliptic curves”
- Moscow state university (2011)
- organizing undergraduate seminar “Dynamical systems” (with A. Bufetov and O. Romaskevich).
- Moscow State School #57, High school (2011-2012)
- Teacher (selected topics of Calculus, Algebra and Mathematical logic).
Personal grants and scholarships
- 2018 Prize of the Moscow Mathematical Society given to young mathematicians. For the series of works "New fractal set 'bubbles' and complex rotation numbers."
(I’m the first woman who ever received this award).
- 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).
Conference talks
- International conference “Geometric aspects of modern dynamics” (Porto, Portugal, 2016),
- Talk “Complex rotation numbers”
- 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
- On Bifurcations of planar vector fields
- Topological seminar, Department of Mathematics, Cornell university. November 2016
- On Bubbles and complex rotation numbers
- Oliver club, Cornell university, March 2019.
- Meeting of the Moscow mathematical society, Moscow. December 2018.
- Dynamical systems seminar, Institute for Mathematical Sciences, Stony Brook university. September 2017
- Dynamical systems seminar, Department of Mathematics, Cornell university. October 2017 and October 2016
- CAPA seminar , Uppsala, Sweden, May 2016
- Oliver Mathematical club, Cornell university, October 2015
- UNAM, Instituto de Matemáticas, Mexico, “Seminario de foliaciones y singularidades” 27.02.2014
- 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
- Seminar «Complex analysis in several variables» (Vitushkin Seminar), Moscow, MSU, March 2012
- Seminar of the Department of Differential Equations, Moscow, Steklov Mathematical Institute, April 2011 and April 2010.
- Séminaire à l’UMPA de géométrie et dynamique, ENS Lyon, April 2011 and February 2010.
- On complex polynomial foliations
- 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, May 2014, Talk “The topology of solutions of polynomial vector fields in ℂ²”
- 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»
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
