Victor Ostrik

2.8k total citations · 2 hit papers
25 papers, 1.1k citations indexed

About

Victor Ostrik is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Victor Ostrik has authored 25 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 19 papers in Mathematical Physics and 14 papers in Algebra and Number Theory. Recurrent topics in Victor Ostrik's work include Algebraic structures and combinatorial models (23 papers), Advanced Topics in Algebra (13 papers) and Homotopy and Cohomology in Algebraic Topology (12 papers). Victor Ostrik is often cited by papers focused on Algebraic structures and combinatorial models (23 papers), Advanced Topics in Algebra (13 papers) and Homotopy and Cohomology in Algebraic Topology (12 papers). Victor Ostrik collaborates with scholars based in United States, Russia and Australia. Victor Ostrik's co-authors include Dmitri Nikshych, Pavel Etingof, Shlomo Gelaki, Alexei Davydov, Vladimir Drinfeld, Michael Müger, Roman Bezrukavnikov, Michael Finkelberg, Jonathan Brundan and Kevin Coulembier and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Victor Ostrik

24 papers receiving 1.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Tensor Categories

2015 293 citations Pavel Etingof, Shlomo Gelaki et al. Mathematical surveys and monographs profile →
Module categories, weak Hopf algebras and modular invariants

2003 254 citations Victor Ostrik Transformation Groups profile →

Peers

Victor Ostrik

GT

MP

ANT

SNP

AMPO

Dmitri Nikshych United States

Michael Müger Netherlands

Shlomo Gelaki Israel

Yasuyuki Kawahigashi Japan

Bojko Bakalov United States

Azat M. Gainutdinov France

V. Tarasov Russia

E. Ragoucy France

Alexander Molev Australia

Kornél Szlachányi Hungary

Dmitri Nikshych United States

Victor Ostrik

1.3k ×1.4

GT

838 ×1.3

MP

918 ×1.7

ANT

386 ×1.5

SNP

216 ×1.1

AMPO

Citations per year, relative to Victor Ostrik Victor Ostrik (= 1×) peers Dmitri Nikshych

Countries citing papers authored by Victor Ostrik

Since Specialization

Citations

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

Fields of papers citing papers by Victor Ostrik

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Victor Ostrik

This figure shows the co-authorship network connecting the top 25 collaborators of Victor Ostrik. A scholar is included among the top collaborators of Victor Ostrik 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 Victor Ostrik. Victor Ostrik is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Coulembier, Kevin, Pavel Etingof, & Victor Ostrik. (2024). Incompressible tensor categories. Advances in Mathematics. 457. 109935–109935. 2 indexed citations

2.

Coulembier, Kevin, Pavel Etingof, & Victor Ostrik. (2024). Asymptotic properties of tensor powers in symmetric tensor categories. Pure and Applied Mathematics Quarterly. 20(3). 1141–1179. 1 indexed citations

3.

Coulembier, Kevin, Pavel Etingof, Alexander Kleshchev, & Victor Ostrik. (2023). Super invariant theory in positive characteristic. European Journal of Mathematics. 9(4). 1 indexed citations

4.

Coulembier, Kevin, et al.. (2023). Growth Rates of the Number of Indecomposable Summands in Tensor Powers. Algebras and Representation Theory. 27(2). 1033–1062. 1 indexed citations

5.

Benson, Dave, Pavel Etingof, & Victor Ostrik. (2023). New incompressible symmetric tensor categories in positive characteristic. Duke Mathematical Journal. 172(1). 9 indexed citations

6.

Ostrik, Victor, et al.. (2023). On the minimal extension and structure of braided weakly group-theoretical fusion categories. Advances in Mathematics. 419. 108961–108961. 2 indexed citations

7.

Khovanov, Mikhail, et al.. (2022). Two-dimensional topological theories, rational functions and their tensor envelopes. Selecta Mathematica. 28(4). 5 indexed citations

8.

Etingof, Pavel, et al.. (2016). Computations in Symmetric Fusion Categories in Characteristicp. International Mathematics Research Notices. 2017(2). 468–489. 4 indexed citations

9.

Etingof, Pavel, Shlomo Gelaki, Dmitri Nikshych, & Victor Ostrik. (2015). Tensor Categories. Mathematical surveys and monographs. 293 indexed citations breakdown →

10.

Davydov, Alexei, Michael Müger, Dmitri Nikshych, & Victor Ostrik. (2013). \nThe Witt group of non-degenerate braided fusion categories. Radboud Repository (Radboud University). 111 indexed citations

11.

Brundan, Jonathan & Victor Ostrik. (2011). Cohomology of Spaltenstein varieties. Transformation Groups. 16(3). 619–648. 14 indexed citations

12.

Bezrukavnikov, Roman, Michael Finkelberg, & Victor Ostrik. (2011). Character D-modules via Drinfeld center of Harish-Chandra bimodules. Inventiones mathematicae. 188(3). 589–620. 22 indexed citations

13.

Ostrik, Victor, et al.. (2010). On blocks of Deligne's category Rep(St). Advances in Mathematics. 226(2). 1331–1377. 30 indexed citations

14.

Etingof, Pavel, Dmitri Nikshych, & Victor Ostrik. (2010). Weakly group-theoretical and solvable fusion categories. Advances in Mathematics. 226(1). 176–205. 97 indexed citations

15.

Drinfeld, Vladimir, Shlomo Gelaki, Dmitri Nikshych, & Victor Ostrik. (2010). On braided fusion categories I. Selecta Mathematica. 16(1). 1–119. 147 indexed citations

16.

Bezrukavnikov, Roman, Michael Finkelberg, & Victor Ostrik. (2009). On tensor categories attached to cells in affine Weyl groups, III. Israel Journal of Mathematics. 170(1). 207–234. 13 indexed citations

17.

Ostrik, Victor. (2009). On formal codegrees of fusion categories. Mathematical Research Letters. 16(5). 895–901. 14 indexed citations

18.

Ostrik, Victor. (2007). Module Categories Over Representations of SL q (2) in the Non-Semisimple Case. Geometric and Functional Analysis. 17(6). 2005–2017. 11 indexed citations

19.

Ostrik, Victor. (2004). A remark on cuspidal local systems. Advances in Mathematics. 192(1). 218–224. 5 indexed citations

20.

Ostrik, Victor. (2003). Module categories, weak Hopf algebras and modular invariants. Transformation Groups. 8(2). 177–206. 254 indexed citations breakdown →

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.

Explore authors with similar magnitude of impact