Boris Tsygan

2.0k total citations
37 papers, 697 citations indexed

About

Boris Tsygan is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Boris Tsygan has authored 37 papers receiving a total of 697 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Mathematical Physics, 24 papers in Geometry and Topology and 23 papers in Algebra and Number Theory. Recurrent topics in Boris Tsygan's work include Homotopy and Cohomology in Algebraic Topology (25 papers), Advanced Topics in Algebra (23 papers) and Algebraic structures and combinatorial models (17 papers). Boris Tsygan is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (25 papers), Advanced Topics in Algebra (23 papers) and Algebraic structures and combinatorial models (17 papers). Boris Tsygan collaborates with scholars based in United States, Denmark and Slovakia. Boris Tsygan's co-authors include Ryszard Nest, Boris Feigin, Dmitry Tamarkin, Paul Bressler, Joachim Cuntz, Yu. L. Daletskiǐ, Georges Skandalis, Israel M. Gelfand, Éric Leichtnam and Michael Hitrik and has published in prestigious journals such as Communications in Mathematical Physics, Lecture notes in mathematics and Advances in Mathematics.

In The Last Decade

Boris Tsygan

33 papers receiving 597 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Boris Tsygan United States 15 623 524 457 74 41 37 697
Anton Alekseev Switzerland 12 472 0.8× 438 0.8× 290 0.6× 166 2.2× 105 2.6× 44 609
Jiang-Hua Lu Hong Kong 13 565 0.9× 604 1.2× 504 1.1× 156 2.1× 34 0.8× 25 752
Markus J. Pflaum United States 13 322 0.5× 204 0.4× 205 0.4× 50 0.7× 25 0.6× 37 406
Norbert Poncin Luxembourg 8 197 0.3× 201 0.4× 170 0.4× 75 1.0× 26 0.6× 52 278
Camille Laurent-Gengoux France 12 293 0.5× 233 0.4× 221 0.5× 58 0.8× 20 0.5× 31 340
Stefan Waldmann Germany 12 357 0.6× 242 0.5× 304 0.7× 106 1.4× 71 1.7× 45 442
Georges Pinczon France 9 203 0.3× 255 0.5× 271 0.6× 109 1.5× 23 0.6× 24 324
Micheline Vigué-Poirrier France 10 275 0.4× 277 0.5× 183 0.4× 18 0.2× 22 0.5× 22 336
Ulrich Bunke Germany 12 359 0.6× 196 0.4× 101 0.2× 57 0.8× 44 1.1× 56 402
Bertrand Toën France 14 701 1.1× 758 1.4× 324 0.7× 89 1.2× 40 1.0× 30 817

Countries citing papers authored by Boris Tsygan

Since Specialization
Citations

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

Fields of papers citing papers by Boris Tsygan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Boris Tsygan

This figure shows the co-authorship network connecting the top 25 collaborators of Boris Tsygan. A scholar is included among the top collaborators of Boris Tsygan 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 Boris Tsygan. Boris Tsygan 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.
Bressler, Paul, et al.. (2013). Formality for algebroids II: Formality theorem for gerbes. arXiv (Cornell University). 1 indexed citations
2.
Bressler, Paul, et al.. (2012). Formality for algebroids I: Nerves of two-groupoids. arXiv (Cornell University). 3 indexed citations
3.
Bressler, Paul, et al.. (2010). Deformations of algebroid stacks. Advances in Mathematics. 226(4). 3018–3087. 2 indexed citations
4.
Tamarkin, Dmitry, et al.. (2007). The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. Journal of Noncommutative Geometry. 1(1). 1–25. 19 indexed citations
5.
Bressler, Paul, et al.. (2007). Deformation quantization of gerbes. Advances in Mathematics. 214(1). 230–266. 15 indexed citations
6.
Tsygan, Boris. (2007). ON THE GAUSS-MANIN CONNECTION IN CYCLIC HOMOLOGY. 13. 6 indexed citations
7.
Cuntz, Joachim, Georges Skandalis, & Boris Tsygan. (2004). Cyclic Homology in Non-Commutative Geometry. CERN Document Server (European Organization for Nuclear Research). 19 indexed citations
8.
Nest, Ryszard & Boris Tsygan. (2004). Remarks on Modules over Deformation Quantization Algebras. Moscow Mathematical Journal. 4(4). 911–940. 9 indexed citations
9.
Bressler, Paul, Ryszard Nest, & Boris Tsygan. (2002). Riemann–Roch Theorems via Deformation Quantization, II. Advances in Mathematics. 167(1). 26–73. 20 indexed citations
10.
Tamarkin, Dmitry & Boris Tsygan. (2000). Differential Calculus, Homotopy BV Algebras, and Formality Conjectures. 6. 7 indexed citations
11.
Tsygan, Boris, et al.. (1999). Operations on Hochschild and Cyclic Complexes. 1 indexed citations
12.
Nest, Ryszard & Boris Tsygan. (1995). Algebraic Index Theorem for Families. Advances in Mathematics. 113(2). 151–205. 70 indexed citations
13.
Gelfand, Israel M. & Boris Tsygan. (1992). On the localization of topological invariants. Communications in Mathematical Physics. 146(1). 73–90. 1 indexed citations
14.
Tsygan, Boris, et al.. (1989). Riemann-Roch theorem and Lie algebra cohomology. I.. Rendiconti del Circolo Matematico di Palermo Series 2. 2(21). 15–52. 22 indexed citations
15.
Tsygan, Boris, et al.. (1987). Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras. $K$-theory, arithmetic and geometry. Lecture notes in mathematics. 1289. 210–239. 10 indexed citations
16.
Tsygan, Boris, et al.. (1987). Additive $K$-theory. K$-theory, arithmetic and geometry. Lecture notes in mathematics. 1289. 67–209. 36 indexed citations
17.
Tsygan, Boris. (1986). Homologies of some matrix Lie superalgebras. Functional Analysis and Its Applications. 20(2). 164–165. 2 indexed citations
18.
Daletskiǐ, Yu. L. & Boris Tsygan. (1985). Hamiltonian operators and Hochschild homologies. Functional Analysis and Its Applications. 19(4). 319–321. 3 indexed citations
19.
Feigin, Boris & Boris Tsygan. (1985). Additive K-theory and crystalline cohomology. Functional Analysis and Its Applications. 19(2). 124–132. 34 indexed citations
20.
Feigin, Boris & Boris Tsygan. (1983). Cohomologies of Lie algebras of generalized Jacobi matrices. Functional Analysis and Its Applications. 17(2). 153–155. 24 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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