Anton Zorich

2.1k total citations
27 papers, 691 citations indexed

About

Anton Zorich is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Anton Zorich has authored 27 papers receiving a total of 691 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Mathematical Physics, 12 papers in Geometry and Topology and 6 papers in Statistical and Nonlinear Physics. Recurrent topics in Anton Zorich's work include Mathematical Dynamics and Fractals (16 papers), Geometry and complex manifolds (6 papers) and Quantum chaos and dynamical systems (6 papers). Anton Zorich is often cited by papers focused on Mathematical Dynamics and Fractals (16 papers), Geometry and complex manifolds (6 papers) and Quantum chaos and dynamical systems (6 papers). Anton Zorich collaborates with scholars based in France, United States and Russia. Anton Zorich's co-authors include Maxim Kontsevich, Alex Eskin, Howard Masur, Jayadev S. Athreya, Vincent Delecroix, Peter Zograf, Giovanni Forni and Carlos Matheus and has published in prestigious journals such as Inventiones mathematicae, Publications mathématiques de l IHÉS and Russian Mathematical Surveys.

In The Last Decade

Anton Zorich

25 papers receiving 598 citations

Peers

Anton Zorich
Alex Eskin United States
David Fried United States
Shaun Bullett United Kingdom
Leila Schneps France
Michèle Audin France
Jonathan Weitsman United States
Nikolai Makarov United States
Victor Bangert Germany
Tom Claeys Belgium
Bernhelm Booß–Bavnbek Denmark
Alex Eskin United States
Anton Zorich
Citations per year, relative to Anton Zorich Anton Zorich (= 1×) peers Alex Eskin

Countries citing papers authored by Anton Zorich

Since Specialization
Citations

This map shows the geographic impact of Anton Zorich's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Anton Zorich with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anton Zorich more than expected).

Fields of papers citing papers by Anton Zorich

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anton Zorich. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Anton Zorich. The network helps show where Anton Zorich may publish in the future.

Co-authorship network of co-authors of Anton Zorich

This figure shows the co-authorship network connecting the top 25 collaborators of Anton Zorich. A scholar is included among the top collaborators of Anton Zorich based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Anton Zorich. Anton Zorich is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Delecroix, Vincent, et al.. (2022). Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves. Inventiones mathematicae. 230(1). 123–224. 6 indexed citations
2.
Delecroix, Vincent, et al.. (2020). Uniform Lower Bound for Intersection Numbers of ψ-Classes. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations
3.
Delecroix, Vincent, et al.. (2020). Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes. Astérisque. 415. 223–274. 3 indexed citations
4.
Delecroix, Vincent, et al.. (2020). Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes. Astérisque. 415. 223–274. 1 indexed citations
5.
Delecroix, Vincent, et al.. (2019). Masur-Veech volumes, frequencies of simple closed geodesics and\n intersection numbers of moduli spaces of curves. arXiv (Cornell University). 13 indexed citations
6.
Athreya, Jayadev S., Alex Eskin, & Anton Zorich. (2016). Right-angled billiards and volumes of moduli spaces of quadratic differentials on ${\mathbb {C}}\!\operatorname{P}^1$. French digital mathematics library (Numdam). 16 indexed citations
7.
Forni, Giovanni, Carlos Matheus, & Anton Zorich. (2014). Zero Lyapunov exponents of the Hodge bundle. Commentarii Mathematici Helvetici. 89(2). 489–535. 8 indexed citations
8.
Athreya, Jayadev S., Alex Eskin, & Anton Zorich. (2013). Counting generalized Jenkins–Strebel differentials. Geometriae Dedicata. 170(1). 195–217. 6 indexed citations
9.
Eskin, Alex, et al.. (2011). Lyapunov spectrum of square-tiled cyclic covers. Journal of Modern Dynamics. 5(2). 319–353.
10.
Zorich, Anton, et al.. (2008). Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials. Journal of Modern Dynamics. 2(1). 139–185. 1 indexed citations
11.
Masur, Howard & Anton Zorich. (2008). Multiple Saddle Connections on Flat Surfaces and the Principal Boundry of the Moduli Spaces of Quadratic Differentials. Geometric and Functional Analysis. 18(3). 919–987. 18 indexed citations
12.
Zorich, Anton. (2006). Flat Surfaces. arXiv (Cornell University). 76 indexed citations
13.
Kontsevich, Maxim & Anton Zorich. (1996). Lyapunov exponents and Hodge theory. CERN Bulletin. 318–332. 6 indexed citations
14.
Zorich, Anton. (1996). Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents. Annales de l’institut Fourier. 46(2). 325–370. 82 indexed citations
15.
Zorich, Anton. (1992). INVERSION OF HOROSPHERICAL INTEGRAL TRANSFORM ON REAL SEMISIMPLE LIE GROUPS. International Journal of Modern Physics A. 7(supp01b). 1047–1071. 1 indexed citations
16.
Zorich, Anton, et al.. (1988). Integration on vector bundles. Functional Analysis and Its Applications. 22(2). 94–103. 8 indexed citations
17.
Zorich, Anton. (1988). THE QUASIPERIODIC STRUCTURE OF LEVEL SURFACES OF A MORSE 1-FORM CLOSE TO A RATIONAL ONE — A PROBLEM OF S. P. NOVIKOV. Mathematics of the USSR-Izvestiya. 31(3). 635–655. 3 indexed citations
18.
Zorich, Anton, et al.. (1987). Bordism theory and homotopy properties of supermanifolds. Functional Analysis and Its Applications. 21(3). 237–238. 7 indexed citations
19.
Zorich, Anton, et al.. (1986). Complex forms on supermanifolds. Functional Analysis and Its Applications. 20(2). 132–133. 5 indexed citations
20.
Zorich, Anton. (1984). A problem of Novikov on the semiclassical motion of an electron in a uniform almost rational magnetic field. Russian Mathematical Surveys. 39(5). 287–288. 37 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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