Anton Petrunin

910 total citations
36 papers, 308 citations indexed

About

Anton Petrunin is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Anton Petrunin has authored 36 papers receiving a total of 308 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Geometry and Topology, 22 papers in Applied Mathematics and 12 papers in Mathematical Physics. Recurrent topics in Anton Petrunin's work include Geometric Analysis and Curvature Flows (18 papers), Point processes and geometric inequalities (10 papers) and Geometry and complex manifolds (9 papers). Anton Petrunin is often cited by papers focused on Geometric Analysis and Curvature Flows (18 papers), Point processes and geometric inequalities (10 papers) and Geometry and complex manifolds (9 papers). Anton Petrunin collaborates with scholars based in United States, Germany and Russia. Anton Petrunin's co-authors include Vitali Kapovitch, Stephanie Alexander, Dmitri Panov, Alexander Lytchak, Vladimir Zolotov, Arseniy Akopyan, Vladimir S. Matveev and Vsevolod Shevchishin and has published in prestigious journals such as American Mathematical Monthly, Journal of Differential Geometry and Mathematische Annalen.

In The Last Decade

Anton Petrunin

30 papers receiving 277 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Anton Petrunin United States 10 267 221 75 69 39 36 308
Yu. D. Burago Russia 5 284 1.1× 230 1.0× 74 1.0× 66 1.0× 49 1.3× 14 339
Andreas Bernig Germany 11 330 1.2× 165 0.7× 55 0.7× 114 1.7× 16 0.4× 25 366
Vitali Kapovitch Canada 9 221 0.8× 187 0.8× 56 0.7× 82 1.2× 21 0.5× 26 256
Alexander Lytchak Germany 14 277 1.0× 316 1.4× 84 1.1× 159 2.3× 54 1.4× 42 427
Yuanlong Xin China 7 237 0.9× 177 0.8× 102 1.4× 38 0.6× 15 0.4× 19 256
Dong-Ho Tsai Taiwan 11 240 0.9× 135 0.6× 29 0.4× 69 1.0× 39 1.0× 37 261
Masatoshi Kokubu Japan 9 306 1.1× 271 1.2× 68 0.9× 47 0.7× 15 0.4× 23 355
Paul MacManus United States 9 303 1.1× 153 0.7× 19 0.3× 102 1.5× 56 1.4× 14 333
Antonio J. Di Scala Italy 9 262 1.0× 249 1.1× 122 1.6× 67 1.0× 6 0.2× 57 314
Stephen Keith Australia 8 366 1.4× 186 0.8× 35 0.5× 106 1.5× 71 1.8× 10 393

Countries citing papers authored by Anton Petrunin

Since Specialization
Citations

This map shows the geographic impact of Anton Petrunin'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 Petrunin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anton Petrunin more than expected).

Fields of papers citing papers by Anton Petrunin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anton Petrunin. 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 Petrunin. The network helps show where Anton Petrunin may publish in the future.

Co-authorship network of co-authors of Anton Petrunin

This figure shows the co-authorship network connecting the top 25 collaborators of Anton Petrunin. A scholar is included among the top collaborators of Anton Petrunin 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 Petrunin. Anton Petrunin 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.
Alexander, Stephanie, Vitali Kapovitch, & Anton Petrunin. (2024). Alexandrov Geometry. Graduate studies in mathematics. 8 indexed citations
2.
Petrunin, Anton. (2024). Gromov’s Tori Are Optimal. Geometric and Functional Analysis. 34(1). 202–208.
3.
Petrunin, Anton, et al.. (2024). Curvature tensor of smoothable Alexandrov spaces. Geometry & Topology. 28(8). 3869–3907. 1 indexed citations
4.
Petrunin, Anton. (2023). Pure Metric Geometry. 1 indexed citations
5.
Petrunin, Anton, et al.. (2023). Trees meet octahedron comparison. Journal of Topology and Analysis. 1–5. 2 indexed citations
6.
Petrunin, Anton, et al.. (2023). Graph Comparison Meets Alexandrov. Siberian Mathematical Journal. 64(3). 624–628. 2 indexed citations
7.
Petrunin, Anton, et al.. (2023). Five-Point Toponogov Theorem. International Mathematics Research Notices. 2024(5). 3601–3624. 1 indexed citations
8.
Kapovitch, Vitali, Alexander Lytchak, & Anton Petrunin. (2020). Metric-measure boundary and geodesic flow on Alexandrov spaces. Journal of the European Mathematical Society. 23(1). 29–62. 9 indexed citations
9.
Petrunin, Anton, et al.. (2019). Bipolar comparison. Geometric and Functional Analysis. 29(1). 258–282. 5 indexed citations
10.
Petrunin, Anton. (2018). Correction to: Metric minimizing surfaces. 25(0). 96–96.
11.
Petrunin, Anton, et al.. (2018). Monotonicity of saddle maps. Geometriae Dedicata. 198(1). 181–188. 1 indexed citations
12.
Akopyan, Arseniy & Anton Petrunin. (2018). Long Geodesics on Convex Surfaces. The Mathematical Intelligencer. 40(3). 26–31. 2 indexed citations
13.
Shevchishin, Vsevolod, et al.. (2015). Smoothing 3-dimensional polyhedral spaces. arXiv (Cornell University). 22(0). 12–19. 2 indexed citations
14.
Petrunin, Anton. (2013). Euclidean and Hyperbolic Planes; a minimalistic introduction with metric approach. arXiv (Cornell University).
15.
Panov, Dmitri & Anton Petrunin. (2012). Telescopic actions. Geometric and Functional Analysis. 22(6). 1814–1831. 6 indexed citations
16.
Petrunin, Anton. (2011). On intrinsic isometries to Euclidean space. St Petersburg Mathematical Journal. 22(5). 803–812. 6 indexed citations
17.
Alexander, Stephanie, Vitali Kapovitch, & Anton Petrunin. (2008). An optimal lower curvature bound for convex hypersurfaces in Riemannian manifolds. Illinois Journal of Mathematics. 52(3). 4 indexed citations
18.
Kapovitch, Vitali, et al.. (2005). Non-negative pinching, moduli spaces and bundles with infinitely many souls. Journal of Differential Geometry. 71(3). 12 indexed citations
19.
Petrunin, Anton, et al.. (2001). Asymptotical flatness and cone structure at infinity. Mathematische Annalen. 321(4). 775–788. 10 indexed citations
20.
Petrunin, Anton. (1995). Quasigeodisics in multidimensional alexandrov spaces. UMI eBooks. 4 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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