Research output per year
Research output per year
Personal profile
Primary fields of research
Category theory, homotopy theory, combinatorics, algebraic geometry
Short presentation
Joachim Kock has worked mainly within algebraic geometry, category theory and homotopy theory, with applications in algebraic combinatorics, but his work has also taken him around topics in probability theory, mathematical physics and theoretical computer science.
Current research
Homotopy combinatorics
External positions
Professor Titular, Autonomous University of Barcelona
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
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∞-operads as symmetric monoidal ∞-categories
Haugseng, R. G. & Kock, J., 2024, In: Publicacions Matematiques. 68, 1, p. 111-137Research output: Contribution to journal › Journal article › Research › peer-review
Open Access -
Culf maps and edgewise subdivision
Hackney, P. & Kock, J., 20 Oct 2022.Research output: Working paper › Preprint › Research
File3 Downloads (Pure) -
Free decomposition spaces
Hackney, P. & Kock, J., 20 Oct 2022, 32 p.Research output: Working paper › Preprint › Research
File3 Downloads (Pure) -
Infinity-Operads as Analytic Monads
Gepner, D., Haugseng, R. G. & Kock, J., 2022, In: International Mathematics Research Notices. 2022, p. 12516-12624Research output: Contribution to journal › Journal article › Research › peer-review
8 Citations (Scopus) -
Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)
Behr, N. & Kock, J., 2022, Proceedings of the Fourth International Conference on Applied Category Theory. Kishida, K. (ed.). arXiv preprint, p. 323-337 (Electronic Proceedings in Theoretical Computer Science, Vol. 372).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research
Open Access2 Citations (Scopus) -
Whole-grain Petri nets and processes
Kock, J., 2022, In: Journal of the ACM. 70, 1, p. 1-58Research output: Contribution to journal › Journal article › Research › peer-review
3 Citations (Scopus) -
Every 2-Segal space is unital
Feller, M., Garner, R., Joachim, K., Proulx, M. U. & Weber, M., Mar 2021, In: Communications in Contemporary Mathematics. 23, 2, 6 p., 2050055.Research output: Contribution to journal › Journal article › Research › peer-review
9 Citations (Scopus) -
Operadic categories and decalage
Garner, R., Kock, J. & Weber, M., 22 Jan 2021, In: Advances in Mathematics. 377, 23 p., 107440.Research output: Contribution to journal › Journal article › Research › peer-review
3 Citations (Scopus)
Activities
- 3 Editor of Research journal
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Theory and Applications of Categories (Journal)
Joachim Kock (Editor)
2017 → …Activity: Peer-review and editorial work types › Editor of Research journal › Research
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Higher Structures (Journal)
Joachim Kock (Editor)
2016 → 2022Activity: Peer-review and editorial work types › Editor of Research journal › Research
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Compositionality (Journal)
Joachim Kock (Editor)
2018 → …Activity: Peer-review and editorial work types › Editor of Research journal › Research