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Bunkova Elena Yurievna

Total publications: 24
Scientific articles: 24
in MathSciNet: 10
in zbMATH: 10
in Web of Science: 10
in Scopus: 10
Cited articles: 11
Citations in Math-Net.Ru: 34
Citations in MathSciNet (by Sep 2017): 20
Citations in Web of Science: 17
Citations in Scopus: 16
Presentations: 10

Number of views:
This page:3292
Abstract pages:2778
Full texts:488
References:346
Bunkova Elena Yurievna
Candidate of physico-mathematical sciences (2011)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 4.12.1985
E-mail: ,
Keywords: formal groups, functional equations, Hirzebruch genus, abelian functions.
UDC: 512.741, 512.81, 514, 515.16, 515.178.2, 517.58, 517.958, 517.965

Subject:

Formal group laws, Hirzebruch genera, addition laws, elliptic functions

Biography

Elena Bunkova was born December 4, 1985 in Moscow.

In 2008 she graduated from Mechanics and Mathematics Faculty of Moscow State University. Since 2005, she specialized in the Department of Higher Geometry and Topology under the direction of RAS corresponding member V. M. Buchstaber. In 2008  she has defended a diploma on the subject"Universal bundles of Jacobians of genus 1 and 2 curves. Applications of sigma functions". In 2002–2005 she also studied at the Independent University of Moscow, in 2005–2008 at the Research and Education Center of MIAN.

Since 2008, she studied at Steklov Mathematical Institute of Russian Academy of Sciences and defended her thesis on the topic "Differential-geometric problems of the theory of sigma functions and applications ".

Since 2011 she works as scientific researcher at the Department of Geometry and Topology of Steklov Mathematical Institute, Russian Academy of Sciences, and Bogolyubov Laboratory of geometrical methods of mathematical Physics, Moscow State University.

   
Main publications:
  1. V. M. Buchstaber, E. Yu. Bun'kova, “Krichever Formal Groups”, Funct. Anal. Appl., 45:2 (2011), 99–116  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

http://www.mathnet.ru/eng/person50426
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:bunkova.e-yu
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=892100
http://www.researcherid.com/rid/M-7515-2015
http://www.scopus.com/authid/detail.url?authorId=7801393833
https://www.researchgate.net/profile/E_Bunkova
http://arxiv.org/a/netay_e_1

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |



   2017
1. Elena Yu. Bunkova, Weierstrass Sigma Function Coefficients Divisibility Hypothesis, 2017 , 5 pp., arXiv: 1701.00848
2. Elena Yu. Bunkova, “Differentiation of genus 3 hyperelliptic functions”, Eur. J. Math., 2017, 1–20 (Published online) , arXiv: 1703.03947  mathnet  crossref

   2016
3. E. Yu. Bunkova, V. M. Buchstaber, A. V. Ustinov, “Coefficient Rings of Tate Formal Groups Determining Krichever Genera”, Proc. Steklov Inst. Math., 292 (2016), 37–62  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
4. E. Yu. Bunkova, “Elliptic function of level $4$”, Proc. Steklov Inst. Math., 294 (2016), 201–214  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2015
5. V. M. Buchstaber, E. Yu. Bunkova, “The universal formal group that defines the elliptic function of level 3”, Chebyshevskii Sb., 16:2 (2015), 66–78  mathnet  elib
6. V. M. Buchstaber, E. Yu. Bunkova, “Manifolds of Solutions for Hirzebruch Functional Equations”, Proc. Steklov Inst. Math., 290 (2015), 125–137  mathnet  crossref  crossref  isi (cited: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 1)
7. E. Yu. Bunkova, “Formal group for elliptic function of level 3”, Toric topology, number theory and applications, Conference proceedings (Khabarovsk), Izd-vo TOGU, Khabarovsk, 2015, 12–13 http://www.iam.khv.ru/ttnt-2015/files/TTNT-2015_proceedings.pdf

   2014
8. V. M. Buchstaber, E. Yu. Netay, Differential-algebraic solutions of the heat equation, 2014 , 11 pp., arXiv: 1405.0926
9. V. M. Buchstaber, E. Yu. Netay, “$\mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology”, Russian Math. Surveys, 69:4 (2014), 757–759  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus
10. V. M. Buchstaber, E. Yu. Netay, “Differential-algebraic solutions of the heat equations”, Tezisy dokladov VII Mezhdunorodnoi konferentsii po differentsialnym i funktsionalno-differentsialnym uravneniyam (DFDE) (Moskva, 22–24 avgusta 2014 g.), 2014, 25–26 http://dfde2014.mi.ras.ru/files/abstracts.pdf

   2013
11. Trans. Moscow Math. Soc., 2013 (2013), 281–292  mathnet  crossref  mathscinet  zmath  zmath  elib  scopus
12. E. Yu. Netay, “Theta constants and sigma functions”, Deistviya torov: topologiya, geometriya, teoriya chisel, Tezisy dokladov Mezhdunarodnoi otkrytoi rossiisko-kitaiskoi konferentsii (Khabarovsk, 2–7 sentyabrya 2013 g.), eds. V. M. Bukhshtaber, V. A. Bykovskii, Izd-vo Tikhookean. gos. un-ta, Khabarovsk, 2013, 49–52 http://www.iam.khv.ru/ta-2013/files/TA-2013_abstracts.pdf
13. E. Yu. Netay, “Geometric differential equations on the universal spaces of Jacobians of elliptic and hyperelliptic curves”, Algebraic topology and abelian functions, Conference in honour of Victor Buchstaber on the occasion of his 70th birthday, Abstracts (Moskva, 18–22 iyunya 2013 g.), MIAN, Moskva, 2013, 61–62 http://vmb70.mi.ras.ru/abstracts.pdf{http://vmb70.mi.ras.ru/abstracts.pdf}
14. E. Yu. Bunkova, “From the Heat Equation to Ordinary Differential Equations”, Geometric Methods in Physics, XXXI Workshop (Bialowieza, Poland, June 24–30, 2012), Trends in Mathematics, Birkhäuser, 2013, 179–185

   2012
15. E. Yu. Bunkova, V. M. Buchstaber, “Polynomial Dynamical Systems and Ordinary Differential Equations Associated with the Heat Equation”, Funct. Anal. Appl., 46:3 (2012), 173–190  mathnet  crossref  crossref  mathscinet  zmath  isi  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
16. V. M. Buchstaber, E. Yu. Bunkova, Ordinary differential equations associated with the heat equation, 2012 , 20 pp., arXiv: 1204.3784
17. V. M. Buchstaber, E. Yu. Bunkova, Algebraically integrable quadratic dynamical systems, 2012 , 13 pp., arXiv: 1212.6675

   2011
18. V. M. Buchstaber, E. Yu. Bun'kova, “Krichever Formal Groups”, Funct. Anal. Appl., 45:2 (2011), 99–116  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 11)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 12)
19. E. Yu. Bun'kova, “The differential-geometric structure of the universal bundle of elliptic curves”, Russian Math. Surveys, 66:4 (2011), 816–818  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi  elib  elib  scopus
20. E. Yu. Bunkova, Differentsialno-geometricheskie zadachi teorii sigma-funktsii i prilozheniya, Dissertatsiya na soiskanie uchënoi stepeni kandidata fiziko-matematicheskikh nauk, vypolnena v otdele geometrii i topologii Matematicheskogo Instituta im. V. A. Steklova RAN, Moskva, 2011

   2010
21. E. Yu. Bun'kova, “Addition theorem for the deformed Baker–Akhiezer function”, Russian Math. Surveys, 65:6 (2010), 1175–1177  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus
22. V. M. Buchstaber, E. Yu. Bunkova, “Addition theorems, formal group laws and integrable systems”, XXIX Workshop o Geometrical Methods in Physics, AIP Conference Proceedings, 1307, 2010, 33–43  crossref  mathscinet (cited: 1)  adsnasa  isi (cited: 1)
23. V. M. Buchstaber, E. Yu. Bunkova, Elliptic formal group laws, integral Hirzebruch genera and Krichever genera, 2010 , 39 pp., arXiv: 1010.0944

   2009
24. E. Yu. Bunkova, V. M. Buchstaber, “Heat Equations and Families of Two-Dimensional Sigma Functions”, Proc. Steklov Inst. Math., 266 (2009), 1–28  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus

Presentations in Math-Net.Ru
1. Эллиптические кривые
E. Yu. Bunkova
Algebra and Number Theory in Kaliningrad
April 20, 2017 15:00
2. Эллиптические кривые
E. Yu. Bunkova
Algebra and Number Theory in Kaliningrad
April 19, 2017 15:00
3. Elliptic functions of level $n$
E. Yu. Bunkova
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 23, 2016 16:45
4. Dierential-algebraic solutions of the heat equation
V. M. Bukhshtaber, E. Yu. Netay
The Seventh International Conference on Differential and Functional Differential Equations
August 23, 2014 16:00   
5. Специальные послойно мультипликативные роды Хирцебруха. Особые алгебраические многообразия и эллиптические когомологии
V. M. Buchstaber, E. Yu. Netay
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
July 23, 2014 14:00
6. Geometric differential equations on the universal spaces of Jacobians of elliptic and hyperelliptic curves
Elena Netay
International conference "Algebraic Topology and Abelian Functions" in honour of Victor Buchstaber on occasion of his 70th birthday
June 22, 2013 15:50   
7. Introducing a new notion of algebraic integrability.
E. Yu. Bunkova, V. M. Buchstaber
International Workshop «Geometric Structures in Integrable Systems»
October 30, 2012 14:00   
8. Семейства эллиптических кривых, формальные группы и дифференциальные уравнения
E. Yu. Bun'kova
Riemann surfaces, Lie algebras and mathematical physics
October 7, 2011 17:00
9. Дифференциальная геометрия универсальной эллиптической кривой. II
E. Yu. Bunkova
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
October 3, 2007
10. Дифференциальная геометрия универсальной эллиптической кривой. I
E. Yu. Bunkova
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
September 26, 2007

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