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Buryak, Aleksandr Yurjevich
Researcher
Candidate of physico-mathematical sciences (2013)
Speciality:
01.01.04 (Geometry and topology)
E-mail:
email , email
Keywords:
Moduli space of curves, integrable systems
UDC:
515.162
MSC:
14C05 , 05A17
Subject:
Mathematical physics, algebraic geometry
Main publications:
A. Buryak, “Double Ramification Cycles and Integrable Hierarchies”, Communications in Mathematical Physics , 336 :3 (2015), 1085–1107
https://www.mathnet.ru/eng/person43171
List of publications on Google Scholar
Publications in Math-Net.Ru Citations
2024
1.
A. Yu. Buryak, “DR Hierarchies: From the Moduli Spaces of Curves to Integrable Systems”, Trudy Mat. Inst. Steklova , 325 (2024), 26–66 Proc. Steklov Inst. Math. , 325 (2024), 21–59
2023
2.
Alexandr Buryak, “A formula for the Gromov–Witten potential of an elliptic curve”, Mosc. Math. J. , 23 :3 (2023), 309–317
2021
3.
O. Brauer, A. Yu. Buryak, “The Bi-Hamiltonian Structures of the DR and DZ Hierarchies in the Approximation up to Genus One”, Funktsional. Anal. i Prilozhen. , 55 :4 (2021), 22–39 Funct. Anal. Appl. , 55 :4 (2021), 272–285
2
2020
4.
Alexandr Buryak, “Extended $r$ -spin theory and the mirror symmetry for the $A_{r-1}$ -singularity”, Mosc. Math. J. , 20 :3 (2020), 475–493
7
2018
5.
Alexandr Buryak, Paolo Rossi, “Simple Lax Description of the ILW Hierarchy”, SIGMA , 14 (2018), 120, 7 pp.
5
2017
6.
Alexandr Buryak, “Double ramification cycles and the $n$ -point function for the moduli space of curves”, Mosc. Math. J. , 17 :1 (2017), 1–13
7
7.
A. Y. Buryak, “New approaches to integrable hierarchies of topological type”, Uspekhi Mat. Nauk , 72 :5(437) (2017), 63–112 Russian Math. Surveys , 72 :5 (2017), 841–887
3
2016
8.
A. Buryak, “Open intersection numbers and the wave function of the KdV hierarchy”, Mosc. Math. J. , 16 :1 (2016), 27–44
29
2013
9.
A. Yu. Buryak, “The Moduli Space of Sheaves and a Generalization of MacMahon's Formula”, Funktsional. Anal. i Prilozhen. , 47 :2 (2013), 18–26 Funct. Anal. Appl. , 47 :2 (2013), 96–103
1
2012
10.
A. Buryak, “The classes of the quasihomogeneous Hilbert schemes of points on the plane”, Mosc. Math. J. , 12 :1 (2012), 21–36
3
2011
11.
A. Yu. Buryak, “First non-zero terms for the Taylor expansion at $1$ of the Conway potential function”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh. , 2011, no. 1, 57–59 Moscow University Mathematics Bulletin , 66 :1 (2011), 41–43
2010
12.
A. Yu. Buriyak, “Poincaré Series of Divisorial Filtration Corresponding to a Curve with One Place at Infinity”, Mat. Zametki , 87 :1 (2010), 60–68 Math. Notes , 87 :1 (2010), 52–58
Presentations in Math-Net.Ru
1.
Соотношения в когомологиях пространств модулей кривых и
интегрируемые иерархии Shafarevich Seminar December 10, 2024 15:00
2.
Построение интегрируемых систем с помощью геометрии пространств модулей кривых и связанные задачи классификации Conference "50 years of finite-gap integration" September 17, 2024
3.
DR-иерархии: от пространств модулей кривых к интегрируемым системам. Продолжение доклада Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 24, 2024 18:30
4.
DR-иерархии: от пространств модулей кривых к интегрируемым системам Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) April 10, 2024 18:30
5.
Подсчёт мероморфных дифференциалов на сфере Римана и бездисперсионная иерархия КП Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) August 2, 2023 14:00
6.
A noncommutative generalization of Witten’s conjecture School on Cluster Algebras, Topological Recursion and Integrability (CATRIN) October 4, 2022
7.
The Dubrovin-Zhang systems and relations in the
cohomology of the moduli spaces of curves International Conference "Nonlinear Waves and Frobenius Structures in Geometry and Physics" Dedicated to the Memory of Boris Dubrovin November 17, 2021
8.
От теорий подсчёта кривых к интегрируемым системам August 11, 2021
9.
Классификация интегрируемых уравнений в частных производных и пространства модулей алгебраических кривых - 2 The 8th Summer School-Conference on Geometrical Methods in Mathematical Physics June 30, 2021
10.
Классификация интегрируемых уравнений в частных производных и пространства модулей алгебраических кривых - 1 The 8th Summer School-Conference on Geometrical Methods in Mathematical Physics June 30, 2021
11.
Бигамильтонова структура для DR иерархий - II Characteristic classes and intersection theory November 12, 2020
12.
Бигамильтонова структура для DR иерархий Characteristic classes and intersection theory November 5, 2020
13.
Пространства модулей алгебраических кривых и системы Дубровина–Жанга Meetings of the Moscow Mathematical Society June 9, 2020
14.
Simple Lax description of the ILW hierarchy Dynamics in Siberia - 2019 February 28, 2019
15.
Циклы двойных ветвлений и интегрируемые системы Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) July 29, 2015 14:00
16.
Матричное интегрирование и перечисление графов. Лекция 4 June 26, 2015
17.
Матричное интегрирование и перечисление графов. Лекция 3 June 25, 2015
18.
Матричное интегрирование и перечисление графов. Лекция 2 June 25, 2015
19.
Матричное интегрирование и перечисление графов. Лекция 1 June 24, 2015
20.
Топология пространства модулей кривых и интегрируемые системы Meetings of the Moscow Mathematical Society November 18, 2014
21.
Integrals of $\psi$ -classes over double ramification cycles Algebraic Structures in Integrable Systems December 6, 2012
22.
Теория Громова–Виттена и интегрируемые иерархии Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) November 7, 2012 18:30
23.
Производящие ряды классов эквивариантных схем Гротендика нульмерных подсхем на плоскости Lie groups and invariant theory December 14, 2011 16:45
24.
Полиномиальность скобки Пуассона в иерархиях Дубровина–Жанга Riemann surfaces, Lie algebras and mathematical physics November 25, 2011 17:00
25.
Функция Конвея от нескольких переменных. Мотивный ряд Пуанкаре фильтрации Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) December 10, 2008
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