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Зограф Пётр Георгиевич
Зограф Пётр Георгиевич
Главный научный сотрудник
Приёмные часы:

По предварительной договорённости


Образование

1989 — д.ф.-м.н. (по специальности «вещественный, комплексный и функциональный анализ»)
Место защиты: Ленинградское отделение Математического института им. В.А. Стеклова
Название диссертации: Униформизация римановых поверхностей и аналитическая теория пространств модулей


Научные интересы

  • математическая физика
  • пространства модулей
  • перечислительная комбинаторика

Публикации

20 Delecroix V. , Goujard E., Zograf P., Zorich A., Counting lattice points in moduli spaces of quadratic differentials, accepted for publication in Proceedings of the ICM 2022.
19 Delecroix V., Goujard E., Zograf P., Zorich A., Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves, Duke Math. J. 170:12 (2021), 2633-2718; preprint (2020).
18 Vincent Delecroix, Élise Goujard, Peter Zograf, Anton Zorich, Uniform Lower Bound for Intersection Numbers of ψ-Classes, SIGMA 16 (2020), 086; preprint (2020).
17 Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves; preprint (2020).
16 Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, with an appendix by Philip Engel, Contribution of one-cylinder square-tiled surfaces to Masur–Veech volumes, Astérisque No. 415, Quelques aspects de la théorie des systèmes dynamiques: un hommage à Jean-Christophe Yoccoz. I (2020), 223--274; preprint (2019).
15 Amol Aggarwal, Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials, Arnold Math. Journal, 6:2 (2020), 149-161; preprint (2019).
14 Zograf P.G., An explicit formula for Witten’s 2-correlators, Записки научных семинаров ПОМИ, 468 (2018), 53-57.
13 Dmitry Korotkin, Peter Zograf, Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers, Journal of Mathematical Physics, 59:9 (2018), 091412.
12 Зограф П., Казарян М., Рациональность перечисления карт и гиперкарт по роду, Алгебра и Анализ, 29:3 (2017), 23-33; препринт.
11 Leon A. Takhtajan, Peter Zograf, Local index theorem for orbifold Riemann surfaces, Letters in Mathematical Physics 109:5 (2019), 1119-1143; preprint (2017).
10 Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Enumeration of meanders and Masur-Veech volumes, Forum of Mathematics, Pi, Vol. 8 (2020), e4; preprint (2017).
9 Dmitri Korotkin, Adrien Sauvaget, Peter Zograf, Tau functions, Prym-Tyurin classes and loci of degenerate differentials, Mathematische Annalen 375, no. 1-2 (2019), 213-246; preprint (2017).
8 Alexeev N.V., Andersen J.E., Penner R.C., Zograf P.G., Enumeration of chord diagrams on many intervals and their non-orientable analogs, Advances in Mathematics, 289:5 (2016), 1056-1081; preprint.
7 Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Square-tiled surfaces of fixed combinatorial type: equidistribution, counting, volumes of the ambient strata; preprint (2016).
6 Peter Zograf, Maxim Kazarian, Virasoro constraints and topological recursion for Grothendieck’s dessin counting, Letters in Mathematical Physics, 105:8 (2015), 1057-­1084; preprint.
5 Maryam Mirzakhani, Peter Zograf, Towards large genus asymptotics of intersection numbers on moduli spaces of algebraic curves, Geometric and Functional Analysis, 25:4 (2015), 1258-1289; preprint.
4 Peter Zograf, Enumeration of Grothendieck’s Dessins and KP Hierarchy, International Mathematics Research Notices, 2015:24 (2015), 13533-13544; preprint.
3 Nikita Alexeev, Peter Zograf, Random matrix approach to the distribution of genomic distance, Journal of Computational Biology, 21:8 (2014), 622-631.
2 Dmitry Korotkin, Peter Zograf, Tau function and the Prym class, Contemporary Mathematics, 593 (2013), 241-261; preprint.
1 Dmitry Korotkin, Peter Zograf, From the tau function of Painlevé P6 equation to moduli spaces, Painlevé equations and related topics, De Gruyter, 241-245, 2012.