Formal group laws, Hirzebruch genera, addition laws, elliptic functions, Abelian functions, equations of mathematical physics.
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:
V. M. Buchstaber, E. Yu. Bun'kova, “Krichever Formal Groups”, Funct. Anal. Appl., 45:2 (2011), 99–116
V. M. Buchstaber, E. Yu. Bunkova, “Formulas for Differentiating Hyperelliptic Functions with Respect to Parameters and Periods”, Proc. Steklov Inst. Math., 325 (2024), 60–73
2.
V. M. Buchstaber, E. Yu. Bunkova, “Polynomial dynamical systems associated with the KdV hierarchy”, Part. Differ. Equ. in Appl. Math., 12 (2024), 100928 , 6 pp. ;
2023
3.
E. Yu. Bunkova, V. M. Buchstaber, “Explicit Formulas for Differentiation of Hyperelliptic Functions”, Math. Notes, 114:6 (2023), 1159–1170
2022
4.
E. Yu. Bunkova, Polynomial Dynamical Systems and Differentiation of Genus 4 Hyperelliptic Functions, 2022 , arXiv: 2201.02462
5.
E. Yu. Bunkova, V. M. Bukhshtaber, “Parametric Korteweg–de Vries hierarchy and hyperelliptic sigma functions”, Funct. Anal. Appl., 56:3 (2022), 169–187
6.
E. Yu. Bunkova, Isomorphism of coefficient rings of Buchstaber and Krichever formal groups, 2022 , arXiv: 2212.13483
2021
7.
V. M. Buchstaber, E. Yu. Bunkova, “Hyperelliptic Sigma Functions and Adler–Moser Polynomials”, Funct. Anal. Appl., 55:3 (2021), 179–197
8.
E. Yu. Bunkova, Rings of Coefficients of Universal Formal Groups for Elliptic Genus of Level $N$, 2021 , arXiv: 2112.08065
2020
9.
V. M. Buchstaber, E. Yu. Bunkova, “Lie Algebras of Heat Operators in a Nonholonomic Frame”, Math. Notes, 108:1 (2020), 15–28
10.
V. M. Buchstaber, E. Yu. Bunkova, “Sigma Functions and Lie Algebras of Schrödinger Operators”, Funct. Anal. Appl., 54:4 (2020), 229–340
2019
11.
E. Yu. Bunkova, “Universal Formal Group for Elliptic Genus of Level $N$”, Proc. Steklov Inst. Math., 305 (2019), 33–52
12.
Elena Yu. Bunkova, “On the problem of differentiation of hyperelliptic functions”, Eur. J. Math., 5:3 (2019), 712–719 , arXiv: 1812.04245
Elena Yu. Bunkova, Hirzebruch Functional Equation: Classification of Solutions, 2018 , arXiv: 1803.01398
17.
Elena Yu. Bunkova, “Hirzebruch functional equation: classification of solutions”, Proc. Steklov Inst. Math., 302 (2018), 33–47
2017
18.
Elena Yu. Bunkova, Weierstrass Sigma Function Coefficients Divisibility Hypothesis, 2017 , 5 pp., arXiv: 1701.00848
2016
19.
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
20.
E. Yu. Bunkova, “Elliptic function of level $4$”, Proc. Steklov Inst. Math., 294 (2016), 201–214
2015
21.
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
22.
V. M. Buchstaber, E. Yu. Bunkova, “Manifolds of Solutions for Hirzebruch Functional Equations”, Proc. Steklov Inst. Math., 290 (2015), 125–137
V. M. Buchstaber, E. Yu. Netay, Differential-algebraic solutions of the heat equation, 2014 , 11 pp., arXiv: 1405.0926
25.
V. M. Buchstaber, E. Yu. Netay, “$\mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology”, Russian Math. Surveys, 69:4 (2014), 757–759
26.
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, 25–26http://dfde2014.mi.ras.ru/files/abstracts.pdf
2013
27.
E. Y. Netay, “Geometric Differential Equations on Bundles of Jacobians for Genus 1 and 2”, Trans. Moscow Math. Soc., 2013 (2013), 281–292
28.
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, 49–52http://www.iam.khv.ru/ta-2013/files/TA-2013_abstracts.pdf
29.
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, 61–62http://vmb70.mi.ras.ru/abstracts.pdf{http://vmb70.mi.ras.ru/abstracts.pdf}
30.
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
31.
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
32.
V. M. Buchstaber, E. Yu. Bunkova, Ordinary differential equations associated with the heat equation, 2012 , 20 pp., arXiv: 1204.3784
33.
V. M. Buchstaber, E. Yu. Bunkova, Algebraically integrable quadratic dynamical systems, 2012 , 13 pp., arXiv: 1212.6675
2011
34.
V. M. Buchstaber, E. Yu. Bun'kova, “Krichever Formal Groups”, Funct. Anal. Appl., 45:2 (2011), 99–116
35.
E. Yu. Bun'kova, “The differential-geometric structure of the universal bundle of elliptic curves”, Russian Math. Surveys, 66:4 (2011), 816–818
36.
E. Yu. Bunkova, Differential-geometric problems of sigma-functions theory and applications, Moscow, 2011
2010
37.
E. Yu. Bun'kova, “Addition theorem for the deformed Baker–Akhiezer function”, Russian Math. Surveys, 65:6 (2010), 1175–1177
38.
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
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
19.
Эллиптические кривые E. Yu. Bunkova Algebra and Number Theory in Kaliningrad April 20, 2017 15:00
20.
Эллиптические кривые E. Yu. Bunkova Algebra and Number Theory in Kaliningrad April 19, 2017 15:00
21.
Elliptic functions of level $n$ E. Yu. Bunkova Seminar "Complex analysis in several variables" (Vitushkin Seminar) March 23, 2016 16:45
2024
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