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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

19 Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves, To appear in: Duke Math. J.; 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.