Bunkova, Elena Yurievna

Total publications: 31 (31)
in MathSciNet: 16 (16)
in zbMATH: 15 (15)
in Web of Science: 14 (14)
in Scopus: 15 (15)
Cited articles: 13
Citations in Math-Net.Ru: 56
Citations in MathSciNet: 33
Citations in Web of Science: 47
Citations in Scopus: 33
Presentations: 13

Number of views:
This page:5793
Abstract pages:4887
Full texts:1026
Bunkova, Elena Yurievna
Candidate of physico-mathematical sciences (2011)
Speciality: 01.01.04 (Geometry and topology)
Birth date: 4.12.1985
Phone: + 7 (909) 934 35 24
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


Formal group laws, Hirzebruch genera, addition laws, elliptic functions, Abelian functions, equations of mathematical physics.


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
List of publications on Google Scholar

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

1. V. M. Buchstaber, E. Yu. Bunkova, Mat. Zametki, 108:1 (2020), 17–32  mathnet

2. E. Yu. Bunkova, “Universal Formal Group for Elliptic Genus of Level $N$”, Proc. Steklov Inst. Math., 305 (2019), 33–52  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
3. Elena Yu. Bunkova, “On the problem of differentiation of hyperelliptic functions”, Eur. J. Math., 5:3 (2019), 712–719 , arXiv: 1812.04245  mathnet  crossref  mathscinet  zmath  isi  scopus
4. V. M. Buchstaber, E. Yu. Bunkova, Lie Algebras of Heat Operators in Nonholonomic Frame, 2019 , arXiv: 1911.08266
5. V. M. Buchstaber, E. Yu. Bunkova, Differentiation of Genus 4 Hyperelliptic Functions, 2019 , arXiv: 1912.11379

6. Elena Yu. Bunkova, “Differentiation of genus 3 hyperelliptic functions”, European Journal of Mathematics, 4:1 (2018), 93–112 , arXiv: 1703.03947  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
7. Elena Yu. Bunkova, Hirzebruch Functional Equation: Classification of Solutions, 2018 , arXiv: 1803.01398  mathscinet
8. Elena Yu. Bunkova, “Hirzebruch functional equation: classification of solutions”, Proc. Steklov Inst. Math., 302 (2018), 33–47  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus (cited: 3)

9. Elena Yu. Bunkova, Weierstrass Sigma Function Coefficients Divisibility Hypothesis, 2017 , 5 pp., arXiv: 1701.00848

10. 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 (cited: 4)  elib  elib  scopus (cited: 2)
11. E. Yu. Bunkova, “Elliptic function of level $4$”, Proc. Steklov Inst. Math., 294 (2016), 201–214  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 2)

12. 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
13. 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: 7)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)
14. 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

15. V. M. Buchstaber, E. Yu. Netay, Differential-algebraic solutions of the heat equation, 2014 , 11 pp., arXiv: 1405.0926  mathscinet
16. 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: 5)  elib  scopus
17. 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

18. E. Y. Netay, “Geometric Differential Equations on Bundles of Jacobians for Genus 1 and 2”, Trans. Moscow Math. Soc., 2013 (2013), 281–292  mathnet  crossref  mathscinet  zmath  zmath  elib  scopus
19. 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
20. 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{}
21. 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  mathscinet  zmath

22. 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 (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
23. V. M. Buchstaber, E. Yu. Bunkova, Ordinary differential equations associated with the heat equation, 2012 , 20 pp., arXiv: 1204.3784  mathscinet
24. V. M. Buchstaber, E. Yu. Bunkova, Algebraically integrable quadratic dynamical systems, 2012 , 13 pp., arXiv: 1212.6675  mathscinet

25. 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: 18)  elib (cited: 10)  elib (cited: 10)  scopus (cited: 15)
26. 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
27. E. Yu. Bunkova, Differential-geometric problems of sigma-functions theory and applications, Moscow, 2011

28. 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
29. 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  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
30. V. M. Buchstaber, E. Yu. Bunkova, Elliptic formal group laws, integral Hirzebruch genera and Krichever genera, 2010 , 39 pp., arXiv: 1010.0944

31. 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: 2)  elib  scopus (cited: 1)

Presentations in Math-Net.Ru
1. Алгебра Ли дифференцирований абелевых функций по параметрам
E. Yu. Bunkova
VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
January 31, 2020 17:00
2. Уравнение Кортевега – де Фриза и задача дифференцирования абелевых функций по параметрам
E. Yu. Bunkova
December readings in Tomsk
December 15, 2018 11:40   
3. Hirzebruch Functional Equations
Elena Yu. Bunkova
International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday
May 24, 2018 17:50   
4. Эллиптические кривые
E. Yu. Bunkova
Algebra and Number Theory in Kaliningrad
April 20, 2017 15:00
5. Эллиптические кривые
E. Yu. Bunkova
Algebra and Number Theory in Kaliningrad
April 19, 2017 15:00
6. Elliptic functions of level $n$
E. Yu. Bunkova
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 23, 2016 16:45
7. 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   
8. 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
9. 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   
10. 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   
11. Семейства эллиптических кривых, формальные группы и дифференциальные уравнения
E. Yu. Bun'kova
Riemann surfaces, Lie algebras and mathematical physics
October 7, 2011 17:00
12. 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
13. 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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