Joachim Kock

Joachim Kock

Associate Professor

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    1. 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

    2. Graphs, hypergraphs, and properads

      Kock, Joachim, May 2016, In: Collectanea Mathematica. 67, 2, p. 155-190 36 p.

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

    3. 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

    4. 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

    5. 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

    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. 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

    8. 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

    9. 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

    10. NOTE ON COMMUTATIVITY IN DOUBLE SEMIGROUPS AND TWO-FOLD MONOIDAL CATEGORIES

      Kock, Joachim, 2007, In: Journal of Homotopy and Related Structures. 2, 2, p. 217-228 12 p.

      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. 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

    13. Perturbative Renormalisation for Not-Quite-Connected Bialgebras

      Kock, Joachim, Oct 2015, In: Letters in Mathematical Physics. 105, 10, p. 1413-1425 13 p.

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

    14. Polynomial Functors and Trees

      Kock, Joachim, 2011, In: International Mathematics Research Notices. 2011, 3, p. 609-673 65 p.

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

    15. Polynomial functors and combinatorial Dyson-Schwinger equations

      Kock, Joachim, 2017, In: Journal of Mathematical Physics. 58, 041703.

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

    16. Polynomial functors and opetopes

      Kock, Joachim, Joyal, A., Batanin, M. & Mascari, J., 20 Aug 2010, In: Advances in Mathematics. 224, 6, p. 2690-2737 48 p.

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

    17. 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

    18. 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

    19. 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

    20. Tangency quantum cohomology

      Kock, Joachim, Jan 2004, In: Compositio Mathematica. 140, 1, p. 165-178 14 p.

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

    21. Tangency quantum cohomology and characteristic numbers

      Kock, Joachim, Sep 2001, In: Anais da Academia Brasileira de Ciencias. 73, 3, p. 319-326 8 p.

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

    22. 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

    23. 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

    24. 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

    25. Weak identity arrows in higher categories

      Kock, Joachim, 2006, In: International Mathematics Research Papers. 54 p., 69163.

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

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