Mikhail Kapranov
Impact in
- Algebra and Number Theory top 0.2%
- Advanced Topics in Algebra
- Geometry and Topology top 0.05%
- Algebraic structures and combinatorial models
- Algebraic Geometry and Number Theory
Papers in
-
- Algebraic structures and combinatorial models 46
- Algebraic Geometry and Number Theory 18
-
- Homotopy and Cohomology in Algebraic Topology 31
- Advanced Algebra and Geometry 21
- Co-authors
- Andrei Zelevinsky (7 shared papers)Israel M. Gelfand (4 shared papers)Victor Ginzburg (4 shared papers)Alexey Bondal (2 shared papers)Éric Vasserot (10 shared papers)Ezra Getzler (2 shared papers)I. M. Gel'fand (3 shared papers)Bernd Sturmfels (3 shared papers)
- Journals
- Advances in Mathematics (9 papers)Duke Mathematical Journal (4 papers)Mathematische Annalen (4 papers)Journal of the American Mathematical Society (3 papers)Journal of Pure and Applied Algebra (3 papers)
- Partner nations
- United StatesFranceJapan
In The Last Decade
Mikhail Kapranov
66 papers receiving 3.4k citations
Mikhail Kapranov's Hit Papers
Peers
Comparison fields: 5 of 95
- Algebra and Number Theory 1.6k
- Geometry and Topology 2.8k
- Mathematical Physics 1.8k
- Computational Mathematics 117
- Discrete Mathematics and Combinatorics 511
Countries citing papers authored by Mikhail Kapranov
This map shows the geographic impact of Mikhail Kapranov'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 Mikhail Kapranov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mikhail Kapranov more than expected).
Fields of papers citing papers by Mikhail Kapranov
This network shows the impact of papers produced by Mikhail Kapranov. 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 Mikhail Kapranov. The network helps show where Mikhail Kapranov may publish in the future.
Co-authors
The 23 scholars most cited alongside Mikhail Kapranov, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 72 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Discriminants, Resultants, and Multidimensional Determinants Hit paper breakdown → | 1994 | 1300 |
| 2 | Koszul duality for operads Hit paper breakdown → | 1994 | 352 |
| 3 | 1990 | 159 | |
| 4 | 1988 | 147 | |
| 5 | 1991 | 147 | |
| 6 | 1989 | 139 | |
| 7 | 1990 | 121 | |
| 8 | Modular operads | 1994 | 86 |
| 9 | 1999 | 82 | |
| 10 | Cyclic Operads and Cyclic Homology | 1995 | 74 |
| 11 | 2000 | 72 | |
| 12 | 1995 | 71 | |
| 13 | 1992 | 67 | |
| 14 | 1993 | 66 | |
| 15 | 1991 | 63 | |
| 16 | 1993 | 59 | |
| 17 | 1997 | 52 | |
| 18 | 1991 | 46 | |
| 19 | 1985 | 44 | |
| 20 | 2001 | 39 |
About Mikhail Kapranov
Mikhail Kapranov is a scholar working on Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics and Computational Theory and Mathematics, having authored 72 papers that have together received 3.9k indexed citations. Recurring topics across this work include Algebraic structures and combinatorial models (46 papers), Homotopy and Cohomology in Algebraic Topology (31 papers), Advanced Topics in Algebra (26 papers), Advanced Algebra and Geometry (21 papers), Algebraic Geometry and Number Theory (18 papers), Advanced Combinatorial Mathematics (12 papers), Commutative Algebra and Its Applications (7 papers) and Nonlinear Waves and Solitons (7 papers). The work is most often cited by research in Algebra and Number Theory (1.6k citations), Geometry and Topology (2.8k citations), Mathematical Physics (1.8k citations), Computational Mathematics (117 citations) and Discrete Mathematics and Combinatorics (511 citations). Mikhail Kapranov has collaborated with scholars based in United States, France and Japan. Frequent co-authors include Andrei Zelevinsky, Israel M. Gelfand, Victor Ginzburg, Alexey Bondal, Éric Vasserot, Ezra Getzler, I. M. Gel'fand, Bernd Sturmfels, A. V. Zelevinskii and Ionuţ Ciocan-Fontanine. Their work appears in journals such as Advances in Mathematics, Duke Mathematical Journal, Mathematische Annalen, Journal of the American Mathematical Society and Journal of Pure and Applied Algebra.
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.