Victor G. Kač

414 total papers · 26.5k total citations
177 papers, 13.7k citations indexed

About

Victor G. Kač is a scholar working on Geometry and Topology, Algebra and Number Theory and Statistical and Nonlinear Physics. According to data from OpenAlex, Victor G. Kač has authored 177 papers receiving a total of 13.7k indexed citations (citations by other indexed papers that have themselves been cited), including 144 papers in Geometry and Topology, 136 papers in Algebra and Number Theory and 95 papers in Statistical and Nonlinear Physics. Recurrent topics in Victor G. Kač's work include Algebraic structures and combinatorial models (137 papers), Advanced Topics in Algebra (136 papers) and Nonlinear Waves and Solitons (93 papers). Victor G. Kač is often cited by papers focused on Algebraic structures and combinatorial models (137 papers), Advanced Topics in Algebra (136 papers) and Nonlinear Waves and Solitons (93 papers). Victor G. Kač collaborates with scholars based in United States, Italy and France. Victor G. Kač's co-authors include Pokman Cheung, Dale H. Peterson, Minoru Wakimoto, Igor Frenkel, Andrey Radul, David Kazhdan, Shun‐Jen Cheng, Corrado De Concini, Edward Frenkel and Claudio Procesi and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Nuclear Physics B and Physics Letters B.

In The Last Decade

Victor G. Kač

167 papers receiving 12.5k citations

Hit Papers

normalize citations (0→100%) normalize lifespan (0→100%) sort by overperformance

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 benchmark for papers published in the same subfield and year, or reaches the top citation threshold in at least one of its specific research topics.

Infinite-Dimensional Lie Algebras

1990 2.9k citations Victor G. Kač Cambridge University Press eBooks profile →
Lie superalgebras

1977 1.2k citations Victor G. Kač Advances in Mathematics profile →
Quantum Calculus

2002 941 citations Victor G. Kač, Pokman Cheung Universitext profile →
Infinite Dimensional Lie Algebras

1983 750 citations Victor G. Kač profile →
Vertex algebras for beginners

1998 589 citations Victor G. Kač profile →
Basic representations of affine Lie algebras and dual resonance models

1980 495 citations Igor Frenkel, Victor G. Kač Inventiones mathematicae profile →
Infinite-dimensional Lie algebras, theta functions and modular forms

1984 426 citations Victor G. Kač, Dale H. Peterson Advances in Mathematics profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Victor G. Kač	11.2k	8.2k	6.7k	4.5k	2.0k	177	13.7k
Michio Jimbo	6.8k 0.6×	3.2k 0.4×	6.3k 0.9×	2.1k 0.5×	1.3k 0.7×	93	9.6k
Alain Connes	3.7k 0.3×	4.4k 0.5×	4.9k 0.7×	7.0k 1.6×	3.4k 1.7×	161	11.3k
Masaki Kashiwara	6.0k 0.5×	3.2k 0.4×	2.7k 0.4×	3.5k 0.8×	248 0.1×	187	7.5k
Tetsuji Miwa	4.5k 0.4×	1.5k 0.2×	5.0k 0.8×	1.5k 0.3×	808 0.4×	98	7.2k
Nicolai Reshetikhin	5.3k 0.5×	2.2k 0.3×	3.1k 0.5×	2.0k 0.5×	1.5k 0.8×	95	6.6k
I. M. Singer	3.8k 0.3×	1.8k 0.2×	2.2k 0.3×	5.0k 1.1×	4.1k 2.1×	64	11.2k
William Fulton	6.2k 0.6×	2.2k 0.3×	901 0.1×	3.7k 0.8×	505 0.3×	69	8.3k
Victor Guillemin	3.9k 0.4×	1.3k 0.2×	1.8k 0.3×	4.3k 1.0×	424 0.2×	176	7.8k
Cumrun Vafa	7.2k 0.6×	767 0.1×	8.4k 1.3×	3.6k 0.8×	19.9k 10.2×	208	23.5k
Pavel Etingof	3.9k 0.3×	2.6k 0.3×	1.5k 0.2×	2.3k 0.5×	264 0.1×	194	4.4k

Countries citing papers authored by Victor G. Kač

Since Specialization

Citations

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

Fields of papers citing papers by Victor G. Kač

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Victor G. Kač

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

All Works

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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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