Joachim Kock

Joachim Kock

Associate Professor

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    1 - 25 out of 53Page size: 25
    1. 2024
    2. Published

      ∞-operads as symmetric monoidal ∞-categories

      Haugseng, R. G. & Kock, Joachim, 2024, In: Publicacions Matematiques. 68, 1, p. 111 137 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    3. 2022

    4. Culf maps and edgewise subdivision

      Hackney, P. & Kock, Joachim, 20 Oct 2022.

      Research output: Working paper › Preprint › Research

    5. Free decomposition spaces

      Hackney, P. & Kock, Joachim, 20 Oct 2022, 32 p.

      Research output: Working paper › Preprint › Research

    6. Infinity-Operads as Analytic Monads

      Gepner, D., Haugseng, R. G. & Kock, Joachim, 2022, In: International Mathematics Research Notices. 2022, p. 12516-12624

      Research output: Contribution to journal › Journal article › Research › peer-review

    7. Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)

      Behr, N. & Kock, Joachim, 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

    8. Whole-grain Petri nets and processes

      Kock, Joachim, 2022, In: Journal of the ACM. 70, 1, p. 1-58

      Research output: Contribution to journal › Journal article › Research › peer-review

    9. 2021

    10. Every 2-Segal space is unital

      Feller, M., Garner, R., Kock, Joachim, 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

    11. Operadic categories and decalage

      Garner, R., Kock, Joachim & Weber, M., 22 Jan 2021, In: Advances in Mathematics. 377, 23 p., 107440.

      Research output: Contribution to journal › Journal article › Research › peer-review

    12. The incidence comodule bialgebra of the Baez-Dolan construction

      Kock, Joachim, 2021, In: Advances in Mathematics. 383, 79 p., 107693.

      Research output: Contribution to journal › Journal article › Research › peer-review

    13. 2020

    14. Decomposition Spaces and Restriction Species

      Galvez-Carrillo, I., Kock, Joachim & Tonks, A., Nov 2020, In: International Mathematics Research Notices. 2020, 21, p. 7558-7616 59 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    15. Decomposition spaces, incidence algebras and Mobius inversion II: Completeness, length filtration, and finiteness (vol 333, pg 1242, 2018)

      Galvez-Carrillo, I., Kock, Joachim & Tonks, A., 16 Sep 2020, In: Advances in Mathematics. 371, 6 p., 107267.

      Research output: Contribution to journal › Journal article › Research › peer-review

    16. DECOMPOSITION-SPACE SLICES ARE TOPOSES

      Kock, Joachim & Spivak, D., Jun 2020, In: Proceedings of the American Mathematical Society. 148, 6, p. 2317-2329 13 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    17. Antipodes of monoidal decomposition spaces

      Carlier, L. & Kock, Joachim, Mar 2020, In: Communications in Contemporary Mathematics. 22, 2, 15 p., 1850081.

      Research output: Contribution to journal › Journal article › Research › peer-review

    18. From Mobius inversion to renormalisation

      Kock, Joachim, 2020, In: Communications in Number Theory and Physics. 14, 1, p. 171-198 28 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    19. Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations

      Kock, Joachim, Patras, F., Ebrahimi-Fard, K. & Foissy, L., 2020, In: Advances in Mathematics. 369, 107170.

      Research output: Contribution to journal › Journal article › Research › peer-review

    20. 2019

    21. Faa di Bruno for operads and internal algebras

      Kock, Joachim & Weber, M., Jun 2019, In: Journal of the London Mathematical Society. 99, 3, p. 919-944 26 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    22. 2018

    23. Decomposition spaces, incidence algebras and Mobius inversion III: The decomposition space of Mobius intervals

      Galvez-Carrillo, I., Kock, Joachim & Tonks, A., 20 Aug 2018, In: Advances in Mathematics. 334, p. 544-584 41 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    24. Decomposition spaces, incidence algebras and Möbius inversion II: Completeness, length filtration, and finiteness

      Gálvez-carrillo, I., Kock, Joachim & Tonks, A., 1 Jul 2018, In: Advances in Mathematics. 333, p. 1242-1292

      Research output: Contribution to journal › Journal article › Research › peer-review

    25. Homotopy linear algebra

      Galvez-Carrillo, I., Kock, Joachim & Tonks, A., Apr 2018, In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 148, 2, p. 293-325 33 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    26. COSPAN CONSTRUCTION OF THE GRAPH CATEGORY OF BORISOV AND MANIN

      Kock, Joachim, 2018, In: Publicacions Matematiques. 62, 2, p. 331-353 23 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    27. Decomposition spaces, incidence algebras and Möbius inversion I: basic theory

      Gálvez Carrillo, M. I., Kock, Joachim & Tonks, A., 2018, In: Advances in Mathematics. 331, p. 952-1015

      Research output: Contribution to journal › Journal article › Research › peer-review

    28. REGULAR PATTERNS, SUBSTITUDES, FEYNMAN CATEGORIES AND OPERADS

      Batanin, M., Kock, Joachim & Weber, M., 2018, In: Theory and Applications of Categories. 33, p. 148-192 45 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    29. 2017

    30. Homotopy composition of cospans

      Kock, Joachim & Spivak, D. I., Oct 2017, In: Communications in Contemporary Mathematics. 19, 5, 6 p., 1650047.

      Research output: Contribution to journal › Journal article › Research › peer-review

    31. Univalence in locally cartesian closed infinity-categories

      Gepner, D. & Kock, Joachim, May 2017, In: Forum Mathematicum. 29, 3, p. 617-652 36 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

    32. Hochster duality in derived categories and point-free reconstruction of schemes

      Kock, Joachim & Pitsch, W., 2017, In: Transactions of the American Mathematical Society. 369, 1, p. 223-261 39 p.

      Research output: Contribution to journal › Journal article › Research › peer-review

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