Joachim Kock

Joachim Kock

Associate Professor

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    1. 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

    2. 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

    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. 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

    5. 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

    6. 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

    7. 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

    8. 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

    9. Culf maps and edgewise subdivision

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

      Research output: Working paper › Preprint › Research

    10. 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

    11. 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

    12. 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

    13. 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

    14. 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

    15. 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

    16. 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

    17. 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

    18. 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

    19. 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

    20. 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

    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. 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

    23. Free decomposition spaces

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

      Research output: Working paper › Preprint › Research

    24. 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

    25. 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 journal › Journal article › Research › peer-review

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