Joachim Kock

Joachim Kock

Associate Professor

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    1. 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

    2. Double adjunctions and free monads

      Kock, Joachim, Fiore, T. M. & Gambino, N., 2012, In: Cahiers de Topologie et Géométrie Différentielle Catégoriques. 53, p. 242-307

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

    3. 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

    4. 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

    5. Combinatorial Dyson-Schwinger equations and inductive data types

      Kock, Joachim, Jun 2016, In: Frontiers of Physics. 11, 3, 15 p., 111205.

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

    6. 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

    7. 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

    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. Elementary remarks on units in monoidal categories

      Kock, Joachim, Jan 2008, In: Mathematical Proceedings of the Cambridge Philosophical Society. 144, p. 53-76 24 p.

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

    10. Data Types with Symmetries and Polynomial Functors over Groupoids

      Kock, Joachim, 24 Sep 2012, In: Electronic Notes in Theoretical Computer Science. 286, p. 351-365 15 p.

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

    11. 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

    12. 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

    13. 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

    14. Characteristic numbers of rational curves with cusp or prescribed triple contact

      Kock, Joachim, 2003, In: Mathematica Scandinavica. 92, 2, p. 223-245 23 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. 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

    17. 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

    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. 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

    20. 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

    21. An invitation to quantum cohomology: Kontsevich's formula for rational plane curves

      Kock, Joachim & Vainsencher, I., 2006, Birkhäuser Verlag. (Progress in Mathematics, Vol. 249).

      Research output: Book/Report › Book › Research › peer-review

    22. Frobenius algebras and 2D topological quantum field theories

      Kock, Joachim, 2003, Cambridge University Press. (London Mathematical Society Student Texts, Vol. 59).

      Research output: Book/Report › Book › Research › peer-review

    23. Categorification of Hopf algebras of rooted trees

      Kock, Joachim, Mar 2013, In: Central European Journal of Mathematics. 11, 3, p. 401-422 22 p.

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

    24. 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

    25. Published

      A fórmula de Kontsevich para curvas racionais planas

      Kock, Joachim & Vainsencher, I., 1999, Rio de Janeiro: Instituto Nacional de Matematica Pura e Aplicada.

      Research output: Book/Report › Book › Research › peer-review

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