Kai Behrend

2.0k total citations
24 papers, 664 citations indexed

About

Kai Behrend is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Kai Behrend has authored 24 papers receiving a total of 664 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Mathematical Physics, 21 papers in Geometry and Topology and 7 papers in Algebra and Number Theory. Recurrent topics in Kai Behrend's work include Homotopy and Cohomology in Algebraic Topology (16 papers), Algebraic Geometry and Number Theory (13 papers) and Advanced Algebra and Geometry (10 papers). Kai Behrend is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (16 papers), Algebraic Geometry and Number Theory (13 papers) and Advanced Algebra and Geometry (10 papers). Kai Behrend collaborates with scholars based in Canada, United States and Germany. Kai Behrend's co-authors include Yu. I. Manin, Ping Xu, Barbara Fantechi, Jim Bryan, Balázs Szendröi, Behrang Noohi, Bin Zhang, Vitaly Tarasov and Gang Tian and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Kai Behrend

22 papers receiving 574 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Kai Behrend Canada 14 593 526 145 78 65 24 664
Daniel C. Isaksen United States 13 413 0.7× 424 0.8× 148 1.0× 27 0.3× 18 0.3× 40 496
Kiyoshi Igusa United States 15 569 1.0× 348 0.7× 333 2.3× 85 1.1× 20 0.3× 60 617
Martin Markl Czechia 15 720 1.2× 762 1.4× 727 5.0× 42 0.5× 63 1.0× 49 903
J. P. C. Greenlees United Kingdom 15 963 1.6× 964 1.8× 593 4.1× 33 0.4× 68 1.0× 82 1.1k
Daniel Dugger United States 13 551 0.9× 541 1.0× 261 1.8× 14 0.2× 14 0.2× 24 590
Reinhard Schultz United States 13 421 0.7× 449 0.9× 121 0.8× 43 0.6× 35 0.5× 81 543
Dmitri I. Panyushev Russia 14 545 0.9× 524 1.0× 389 2.7× 203 2.6× 16 0.2× 81 658
Lawrence Breen France 8 287 0.5× 300 0.6× 115 0.8× 35 0.4× 29 0.4× 14 353
Dan Barbasch United States 17 654 1.1× 751 1.4× 325 2.2× 242 3.1× 20 0.3× 44 817
Marc Levine United States 17 782 1.3× 659 1.3× 143 1.0× 65 0.8× 9 0.1× 59 804

Countries citing papers authored by Kai Behrend

Since Specialization
Citations

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

Fields of papers citing papers by Kai Behrend

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Kai Behrend

This figure shows the co-authorship network connecting the top 25 collaborators of Kai Behrend. A scholar is included among the top collaborators of Kai Behrend 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 Kai Behrend. Kai Behrend 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.
Behrend, Kai, et al.. (2023). Quantization of ($$-1$$)-Shifted Derived Poisson Manifolds. Communications in Mathematical Physics. 402(3). 2301–2338.
2.
Behrend, Kai, Jim Bryan, & Balázs Szendröi. (2012). Motivic degree zero Donaldson–Thomas invariants. Inventiones mathematicae. 192(1). 111–160. 51 indexed citations
3.
Behrend, Kai & Ping Xu. (2011). Differentiable stacks and gerbes. Journal of Symplectic Geometry. 9(3). 285–341. 52 indexed citations
4.
Behrend, Kai, et al.. (2009). Connected Components of Moduli Stacks of Torsors via Tamagawa Numbers. Canadian Journal of Mathematics. 61(1). 3–28. 9 indexed citations
5.
Behrend, Kai. (2009). Donaldson-Thomas type invariants via microlocal geometry. Annals of Mathematics. 170(3). 1307–1338. 104 indexed citations
6.
Behrend, Kai & Barbara Fantechi. (2008). Symmetric obstruction theories and Hilbert schemes of points on threefolds. Algebra & Number Theory. 2(3). 313–345. 78 indexed citations
7.
Behrend, Kai, et al.. (2007). String topology for loop stacks. Comptes Rendus Mathématique. 344(4). 247–252. 3 indexed citations
8.
Behrend, Kai, et al.. (2007). String product for inertia stacks. 3 indexed citations
9.
Behrend, Kai, et al.. (2007). String topology for stacks. arXiv (Cornell University). 18 indexed citations
10.
Behrend, Kai & Jim Bryan. (2007). Super-rigid Donaldson-Thomas Invariants. Mathematical Research Letters. 14(4). 559–571. 14 indexed citations
11.
Behrend, Kai, et al.. (2006). On the motivic class of the stack of bundles. Advances in Mathematics. 212(2). 617–644. 23 indexed citations
12.
Behrend, Kai, et al.. (2006). Frobenius structure for inertia stacks. 2 indexed citations
13.
Behrend, Kai & Behrang Noohi. (2006). Uniformization of Deligne-Mumford curves. Journal für die reine und angewandte Mathematik (Crelles Journal). 2006(599). 20 indexed citations
14.
Behrend, Kai. (2005). On the de Rham cohomology of differential and algebraic stacks. Advances in Mathematics. 198(2). 583–622. 22 indexed citations
15.
Behrend, Kai, Ping Xu, & Bin Zhang. (2003). Equivariant gerbes over compact simple Lie groups. Comptes Rendus Mathématique. 336(3). 251–256. 17 indexed citations
16.
Behrend, Kai & Ping Xu. (2003). S1-bundles and gerbes over differentiable stacks. Comptes Rendus Mathématique. 336(2). 163–168. 12 indexed citations
17.
Behrend, Kai, et al.. (2003). On the cohomology of stable map spaces. Inventiones mathematicae. 154(2). 385–450. 12 indexed citations
18.
Behrend, Kai, et al.. (2002). Quantum Cohomology. Lecture notes in mathematics. 1 indexed citations
19.
Behrend, Kai & Yu. I. Manin. (1996). Stacks of stable maps and Gromov-Witten invariants. Duke Mathematical Journal. 85(1). 129 indexed citations
20.
Behrend, Kai. (1995). Semi-stability of reductive group schemes over curves. Mathematische Annalen. 301(1). 281–305. 36 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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