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Peter G. Zograf
Peter G. Zograf
Senior Researcher
Reception hours:

By appointment


Education

1989 — D.Sc. in Mathematics and Physics («Real, Complex and Functional Analysis»)
Institution: Leningrad Department of Steklov Mathematical Institute


Scientific interests

  • mathematical physics
  • moduli spaces
  • enumerative combinatorics

Publications

17 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.
16 Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves; preprint (2020).
15 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).
14 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).
13 Zograf P.G., An explicit formula for Witten’s 2-correlators, Zapiski Nauchnykh Seminarov POMI, 468 (2018), 53-57.
12 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.
11 Leon A. Takhtajan, Peter Zograf, Local index theorem for orbifold Riemann surfaces; preprint (2017).
10 Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Enumeration of meanders and Masur-Veech volumes; preprint (2017).
9 Dmitri Korotkin, Adrien Sauvaget, Peter Zograf, Tau functions, Prym-Tyurin classes and loci of degenerate differentials; preprint (2017).
8 Kazarian M., Zograf P., Rationality in map and hypermap enumeration by genus, to appear in St. Petersburg Math. Journal; preprint (2016).
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, Enumeration of Grothendieck’s Dessins and KP Hierarchy, International Mathematics Research Notices, 2015:24 (2015), 13533-13544; preprint (2013).
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 (2011).
4 Peter Zograf, Maxim Kazarian, Virasoro constraints and topological recursion for Grothendieck’s dessin counting, Letters in Mathematical Physics, 105:8 (2015), 1057-­1084; preprint (2014).
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 (2013).
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.