Joachim Kock

Joachim Kock

Associate Professor

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    1. 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

    2. 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

    3. 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

    4. 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

    5. Monads in double categories

      Fiore, T. M., Gambino, N. & Kock, Joachim, Jun 2011, In: Journal of Pure and Applied Algebra. 215, 6, p. 1174-1197 24 p.

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

    6. 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

    7. 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

    8. Groupoids and Faa di Bruno formulae for Green functions in bialgebras of trees

      Galvez-Carrillo, I., Kock, Joachim & Tonks, A., 20 Mar 2014, In: Advances in Mathematics. 254, p. 79-117 39 p.

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

    9. 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

    10. 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

    11. Polynomial functors and polynomial monads

      Gambino, N. & Kock, Joachim, Jan 2013, In: Mathematical Proceedings of the Cambridge Philosophical Society. 154, 1, p. 153-192 40 p.

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

    12. 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

    13. 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

    14. 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

    15. Descendant invariants and characteristic numbers

      Graber, T., Kock, Joachim & Pandharipande, R., Jun 2002, In: American Journal of Mathematics. 124, 3, p. 611-647 37 p.

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

    16. 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

    17. 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

    18. Free decomposition spaces

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

      Research output: Working paper › Preprint › Research

    19. Culf maps and edgewise subdivision

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

      Research output: Working paper › Preprint › Research

    20. 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

    21. Weak units and homotopy 3-types

      Joyal, A. & Kock, Joachim, 2007, CATEGORIES IN ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS. Davydov, A., Batanin, M., Johnson, M., Lack, S. & Neeman, A. (eds.). AMER MATHEMATICAL SOC, p. 257-276 20 p. (Contemporary Mathematics, Vol. 431).

      Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

    22. COHERENCE FOR WEAK UNITS

      Joyal, A. & Kock, Joachim, 2013, In: Documenta Mathematica. 18, p. 71-110 40 p.

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

    23. Feynman graphs, and nerve theorem for compact symmetric multicategories (Extended Abstract)

      Joyal, A. & Kock, Joachim, 14 Feb 2011, In: Electronic Notes in Theoretical Computer Science. 270, 2, p. 105-113 9 p.

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

    24. Local fibred right adjoints are polynomial

      Kock, A. & Kock, Joachim, Feb 2013, In: Mathematical Structures in Computer Science. 23, 1, p. 131-141 11 p.

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

    25. Simplicial localization of monoidal structures, and a non-linear version of Deligne's conjecture

      Kock, Joachim & Toen, B., Jan 2005, In: Compositio Mathematica. 141, 1, p. 253-261 9 p.

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

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