Joachim Kock

1.4k total citations
37 papers, 403 citations indexed

About

Joachim Kock is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Joachim Kock has authored 37 papers receiving a total of 403 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Geometry and Topology, 30 papers in Mathematical Physics and 23 papers in Algebra and Number Theory. Recurrent topics in Joachim Kock's work include Homotopy and Cohomology in Algebraic Topology (27 papers), Algebraic structures and combinatorial models (26 papers) and Advanced Topics in Algebra (23 papers). Joachim Kock is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (27 papers), Algebraic structures and combinatorial models (26 papers) and Advanced Topics in Algebra (23 papers). Joachim Kock collaborates with scholars based in Spain, United Kingdom and United States. Joachim Kock's co-authors include Nicola Gambino, Andrew Tonks, David Gepner, André Joyal, Israel Vainsencher, Michael Batanin, Mark Weber, Rune Haugseng, Tom Graber and Rahul Pandharipande and has published in prestigious journals such as Journal of the ACM, Advances in Mathematics and American Journal of Mathematics.

In The Last Decade

Joachim Kock

37 papers receiving 353 citations

Peers

Joachim Kock

GT

MP

ANT

CTM

AI

Daniel C. Isaksen United States

Stefan Waner United States

Noriko Yui Canada

Jay Jorgenson United States

Teodor Banica France

Tomoyoshi Ibukiyama Japan

Sergey Neshveyev Norway

Thomas Schick Germany

Narutaka Ozawa Japan

Caterina Consani United States

Daniel C. Isaksen United States

Joachim Kock

413 ×1.4

GT

424 ×1.6

MP

148 ×0.7

ANT

36 ×0.6

CTM

21 ×0.4

AI

Citations per year, relative to Joachim Kock Joachim Kock (= 1×) peers Daniel C. Isaksen

Countries citing papers authored by Joachim Kock

Since Specialization

Citations

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

Fields of papers citing papers by Joachim Kock

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Joachim Kock

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

All Works

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20 of 20 papers shown

1.

Haugseng, Rune & Joachim Kock. (2023). $\infty$-operads as symmetric monoidal $\infty$-categories. Publicacions Matemàtiques. 68. 111–137. 2 indexed citations

2.

Kock, Joachim. (2022). Whole-grain Petri Nets and Processes. Journal of the ACM. 70(1). 1–58. 1 indexed citations

3.

Ebrahimi‐Fard, Kurusch, Loïc Foissy, Joachim Kock, & Frédéric Patras. (2020). Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations. Advances in Mathematics. 369. 107170–107170. 4 indexed citations

4.

Kock, Joachim, et al.. (2018). Decomposition spaces, incidence algebras and Möbius inversion I: Basic theory. Advances in Mathematics. 331. 952–1015. 18 indexed citations

5.

Kock, Joachim, et al.. (2018). Decomposition spaces, incidence algebras and Möbius inversion II: Completeness, length filtration, and finiteness. Advances in Mathematics. 333. 1242–1292. 10 indexed citations

6.

Kock, Joachim, et al.. (2018). Decomposition spaces, incidence algebras and Möbius inversion III: The decomposition space of Möbius intervals. Advances in Mathematics. 334. 544–584. 6 indexed citations

7.

Kock, Joachim, et al.. (2018). Decomposition Spaces and Restriction Species. International Mathematics Research Notices. 2020(21). 7558–7616. 4 indexed citations

8.

Batanin, Michael, Joachim Kock, & Mark Weber. (2018). Regular patterns, substitudes, Feynman categories and operads. Theory and applications of categories. 33. 148–192. 7 indexed citations

9.

González, María del Mar, Paul Yang, Nicola Gambino, & Joachim Kock. (2015). Extended Abstracts Fall 2013 : Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations. 2 indexed citations

10.

Kock, Joachim. (2015). Perturbative Renormalisation for Not-Quite-Connected Bialgebras. Letters in Mathematical Physics. 105(10). 1413–1425. 6 indexed citations

11.

Kock, Joachim, et al.. (2014). Groupoids and Faà di Bruno formulae for Green functions in bialgebras of trees. Advances in Mathematics. 254. 79–117. 6 indexed citations

12.

Gambino, Nicola, et al.. (2012). Double adjunctions and free monads. White Rose Research Online (University of Leeds, The University of Sheffield, University of York). 53(4). 242–306. 2 indexed citations

13.

Gambino, Nicola, et al.. (2010). Monads in double categories. Journal of Pure and Applied Algebra. 215(6). 1174–1197. 8 indexed citations

14.

Kock, Joachim, et al.. (2010). Polynomial functors and opetopes. Advances in Mathematics. 224(6). 2690–2737. 18 indexed citations

15.

Kock, Joachim. (2008). Elementary remarks on units in monoidal categories. Mathematical Proceedings of the Cambridge Philosophical Society. 144(1). 53–76. 5 indexed citations

16.

Kock, Joachim & Israel Vainsencher. (2006). An Invitation to Quantum Cohomology: Kontsevich's Formula for Rational Plane Curves. Medical Entomology and Zoology. 12 indexed citations

17.

Kock, Joachim. (2006). Note on commutativity in double semigroups and two-fold monoidal categories. arXiv (Cornell University). 2. 217–228. 5 indexed citations

18.

Kock, Joachim. (2003). Tangency quantum cohomology. Compositio Mathematica. 140(1). 165–178. 2 indexed citations

19.

Kock, Joachim. (2003). SIMPLICIAL LOCALIZATION OF MONOIDAL STRUCTURES, AND A NON-LINEAR VERSION OF DELIGNE’S CONJECTURE. 9 indexed citations

20.

Kock, Joachim. (2003). Frobenius Algebras and 2D Topological Quantum Field Theories. Cambridge University Press eBooks. 172 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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