Viktor Ostrik

2.2k total citations · 1 hit paper
20 papers, 938 citations indexed

About

Viktor Ostrik is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Viktor Ostrik has authored 20 papers receiving a total of 938 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 13 papers in Mathematical Physics and 12 papers in Algebra and Number Theory. Recurrent topics in Viktor Ostrik's work include Algebraic structures and combinatorial models (18 papers), Advanced Topics in Algebra (11 papers) and Advanced Algebra and Geometry (9 papers). Viktor Ostrik is often cited by papers focused on Algebraic structures and combinatorial models (18 papers), Advanced Topics in Algebra (11 papers) and Advanced Algebra and Geometry (9 papers). Viktor Ostrik collaborates with scholars based in United States and Russia. Viktor Ostrik's co-authors include Pavel Etingof, Dmitri Nikshych, Alexander Kirillov, Anton Malkin, Shlomo Gelaki, Ivan Cherednik and Roman Bezrukavnikov and has published in prestigious journals such as Annals of Mathematics, Advances in Mathematics and Duke Mathematical Journal.

In The Last Decade

Viktor Ostrik

20 papers receiving 870 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.

On fusion categories

2005 315 citations Pavel Etingof, Dmitri Nikshych et al. Annals of Mathematics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Viktor Ostrik United States	12	871	581	546	265	105	20	938
Michael Müger Netherlands	11	664 0.8×	373 0.6×	489 0.9×	171 0.6×	160 1.5×	21	803
Maxim Nazarov United Kingdom	15	720 0.8×	538 0.9×	299 0.5×	398 1.5×	28 0.3×	36	794
Siu‐Hung Ng United States	12	408 0.5×	299 0.5×	203 0.4×	168 0.6×	57 0.5×	32	471
D. Arnaudon France	14	410 0.5×	274 0.5×	129 0.2×	247 0.9×	51 0.5×	37	461
Shigeru Yamagami Japan	12	313 0.4×	248 0.4×	347 0.6×	61 0.2×	74 0.7×	30	487
A. N. Sergeev Russia	12	475 0.5×	329 0.6×	219 0.4×	247 0.9×	23 0.2×	36	523
I. Yu. Tipunin Russia	13	479 0.5×	332 0.6×	217 0.4×	268 1.0×	17 0.2×	25	592
Bruce W. Westbury United Kingdom	10	315 0.4×	128 0.2×	201 0.4×	61 0.2×	51 0.5×	23	379
Rinat Kedem United States	12	362 0.4×	187 0.3×	104 0.2×	190 0.7×	47 0.4×	28	398

Countries citing papers authored by Viktor Ostrik

Since Specialization

Citations

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

Fields of papers citing papers by Viktor Ostrik

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Viktor Ostrik

This figure shows the co-authorship network connecting the top 25 collaborators of Viktor Ostrik. A scholar is included among the top collaborators of Viktor 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 Viktor Ostrik. Viktor 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.

Bezrukavnikov, Roman & Viktor Ostrik. (2019). On tensor categories attached to cells in affine Weyl groups II. Advanced studies in pure mathematics. 101–119. 2 indexed citations

2.

Ostrik, Viktor. (2008). Pre-Modular Categories of Rank 3. Moscow Mathematical Journal. 8(1). 111–118. 14 indexed citations

3.

Malkin, Anton, et al.. (2005). Quiver varieties and Lusztig's algebra. Advances in Mathematics. 203(2). 514–536. 28 indexed citations

4.

Etingof, Pavel, Dmitri Nikshych, & Viktor Ostrik. (2005). On fusion categories. Annals of Mathematics. 162(2). 581–642. 315 indexed citations breakdown →

5.

Malkin, Anton, et al.. (2005). The minimal degeneration singularities in the affine Grassmannians. Duke Mathematical Journal. 126(2). 11 indexed citations

6.

Etingof, Pavel & Viktor Ostrik. (2004). Module categories over representations of $SL_q(2)$ and graphs. Mathematical Research Letters. 11(1). 103–114. 22 indexed citations

7.

Etingof, Pavel, Dmitri Nikshych, & Viktor Ostrik. (2004). . International Mathematics Research Notices. 2004(54). 2915–2915. 48 indexed citations

8.

Etingof, Pavel, Shlomo Gelaki, & Viktor Ostrik. (2004). . International Mathematics Research Notices. 2004(57). 3041–3041. 25 indexed citations

9.

Etingof, Pavel & Viktor Ostrik. (2004). Finite Tensor Categories. Moscow Mathematical Journal. 4(3). 627–654. 154 indexed citations

10.

Ostrik, Viktor. (2003). . International Mathematics Research Notices. 2003(27). 1507–1507. 86 indexed citations

11.

Ostrik, Viktor. (2003). Fusion categories of rank 2. Mathematical Research Letters. 10(2). 177–183. 41 indexed citations

12.

Cherednik, Ivan & Viktor Ostrik. (2003). From double Hecke algebra to Fourier transform. Selecta Mathematica. 9(2). 161–249. 9 indexed citations

13.

Ostrik, Viktor. (2002). Boundary conditions for holomorphic orbifolds. arXiv (Cornell University). 6 indexed citations

14.

Kirillov, Alexander & Viktor Ostrik. (2002). On a q-Analogue of the McKay Correspondence and the ADE Classification of sl2 Conformal Field Theories. Advances in Mathematics. 171(2). 183–227. 138 indexed citations

15.

Ostrik, Viktor, et al.. (2002). Calculating Canonical Distinguished Involutions in the Affine Weyl Groups. Experimental Mathematics. 11(1). 99–117. 2 indexed citations

16.

Ostrik, Viktor. (2001). Dimensions of Quantized Tilting Modules. Moscow Mathematical Journal. 1(1). 65–71. 2 indexed citations

17.

Ostrik, Viktor. (2000). On the equivariant 𝐾-theory of the nilpotent cone. Representation Theory of the American Mathematical Society. 4(11). 296–305. 10 indexed citations

18.

Ostrik, Viktor. (1998). Support varieties for quantum groups. Functional Analysis and Its Applications. 32(4). 237–246. 8 indexed citations

19.

Ostrik, Viktor. (1998). Когомологические носители для квантовых групп. Функциональный анализ и его приложения. 32(4). 22–34. 2 indexed citations

20.

Ostrik, Viktor. (1997). Tensor ideals in the category of tilting modules. Transformation Groups. 2(3). 279–287. 15 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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