Joachim Kock

Joachim Kock

Associate Professor


  1. 1997
  2. Published

    Frobenius splitting of complete intersections in P-n

    Kock, Joachim, 1997, In: Communications in Algebra. 25, 4, p. 1205-1213 9 p.

    Research output: Contribution to journalJournal articleResearchpeer-review

  3. 1999
  4. 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/ReportBookResearchpeer-review

  5. 2001
  6. 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 journalJournal articleResearchpeer-review

  7. 2002
  8. 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 journalJournal articleResearchpeer-review

  9. 2003
  10. 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 journalJournal articleResearchpeer-review

  11. Frobenius algebras and 2D topological quantum field theories

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

    Research output: Book/ReportBookResearchpeer-review

  12. 2004
  13. Tangency quantum cohomology

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  14. 2005
  15. 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 journalJournal articleResearchpeer-review

  16. 2006
  17. 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/ReportBookResearchpeer-review

  18. Weak identity arrows in higher categories

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  19. 2007
  20. 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 journalJournal articleResearchpeer-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 proceedingArticle in proceedingsResearchpeer-review

  22. 2008
  23. 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 journalJournal articleResearchpeer-review

  24. 2010
  25. 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 journalJournal articleResearchpeer-review

  26. 2011
  27. Polynomial Functors and Trees

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  28. 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 journalConference articleResearchpeer-review

  29. 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 journalJournal articleResearchpeer-review

  30. 2012
  31. 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 journalJournal articleResearchpeer-review

  32. 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 journalJournal articleResearchpeer-review

  33. 2013
  34. COHERENCE FOR WEAK UNITS

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

    Research output: Contribution to journalJournal articleResearchpeer-review

  35. 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 journalJournal articleResearchpeer-review

  36. 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 journalJournal articleResearchpeer-review

  37. 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 journalJournal articleResearchpeer-review

  38. 2014
  39. 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 journalJournal articleResearchpeer-review

  40. 2015
  41. 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 journalJournal articleResearchpeer-review

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