Education

1973-1978 St. Petersburg (Leningrad) State University

Academic degrees:

1983 Cand.Sc. (PhD), St.Petersburg (Leningrad) Department of Steklov Mathematical Institute

1989 D.Sc. (Dr.habil.), St.Petersburg (Leningrad) Department of Steklov Mathematical Institute

Scientific interests

• mathematical physics
• moduli spaces
• enumerative combinatorics

Selected publications

Recent preprints:

1. Delecroix V. , Goujard E., Zograf P., Zorich A., Counting lattice points in moduli spaces of quadratic differentials (to appear in Proceedings of the ICM 2022).
2. Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves, https://arxiv.org/abs/2007.04740

Recent publications:

1. Dmitry Korotkin, Peter Zograf, Tau function and moduli of meromorphic quadratic differentials, SIGMA 18, 001 (2022)
2. Peter Zograf, Tensor networks and the enumerative geometry of graphs, Записки научных семинаров ПОМИ, т. 507, 26-34 (2021) (to appear in J. Math. Sci.)
3. 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, 2633-2718 (2021)
4. Oliver Janssen, Mehrdad Mirbabayi and Peter Zograf, Gravity as an ensemble and the moment problem, Journal of High Energy Physics 2021, 184 (2021)
5. Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Enumeration of meanders and Masur-Veech volumes, Forum of Mathematics, Pi, Vol. 8, e4 (2020)
6. 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, 223-274 (2020)
7. Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich, Uniform lower bound for intersection numbers of ψ-classes, SIGMA 16, 086 (2020)
8. 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, 149-161 (2020)
9. Peter Zograf, An explicit formula for Witten's 2-correlators, Journal of Mathematical Sciences 240, 535-538 (2019) (corrected version: https://arxiv.org/abs/2012.03268)
10. Dmitri Korotkin, Adrien Sauvaget, Peter Zograf, Tau functions, Prym-Tyurin classes and loci of degenerate differentials, Mathematische Annalen 375, 213–246 (2019)
11. Leon A. Takhtajan, Peter Zograf, Local index theorem for orbifold Riemann surfaces, Letters in Mathematical Physics 109, 1119–1143 (2019)
12. Dmitry Korotkin, Peter Zograf, Tau functions, Hodge classes and discriminant loci on moduli spaces of Hitchin's spectral covers, Journal of Mathematical Physics, vol. 59, 0914121 (2018)
13. Kazarian M., Zograf P., Rationality in map and hypermap enumeration by genus, St. Petersburg Math. J. 29, 439-445 (2018)
14. 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, 1056-1081 (2016)
15. Maxim Kazarian, Peter Zograf, Virasoro constraints and topological recursion for Grothendieck’s dessin counting, Letters in Mathematical Physics 105:8, 1057-1084 (2015) (corrected version: https://arxiv.org/abs/1406.5976)
16. Maryam Mirzakhani, Peter Zograf, Towards large genus asymptotics of intersection numbers on moduli spaces of algebraic curves, Geometric and Functional Analysis, 25:4, 1258-1289 (2015)
17. Peter Zograf, Enumeration of Grothendieck’s dessins and KP hierarchy, International Mathematics Research Notices, 2015:24, 13533-13544 (2015)