[Danish flag] Joachim Kock

Departament de Matemàtiques
Universitat Autònoma de Barcelona
08193 Bellaterra (Barcelona)

Phone: +34 93 581 1395
Fax: +34 93 581 27 90
Email: last name, then mat.uab.cat

Member of the BGSMath

Photo of Joachim

My main research interests are in Category Theory, Homotopy Theory, and Algebraic Geometry, but I am also interested in structural aspects of Combinatorics, Mathematical Physics, Logic, and Theoretical Computer Science.

Publications         Upcoming talks       Math pages (not up to date)

2016-12-01: Short paper (14pp) available: Cospan construction of the graph category of Borisov and Manin, dedicated to Nils Baas for his 70th birthday. Feedback is most welcome.
2016-10-28: Michael Batanin, Ralph Kaufmann and Martin Markl have founded a new journal, Higher Structures. I am proud to be a member of the editorial board, and I welcome strong submissions on higher categories and operads. (Instructions for authors can be found on the journal web site.)
2016-10-13: Tom Leinster and I join forces to give a BGSMath graduate course on Category Theory in January 2017.
2016-09-13: New joint paper with Mark Weber available: Faà di Bruno for operads and internal algebras. Feedback is most welcome.
2016-03-01: Short paper (4pp) with David Spivak available: Homotopy composition of cospans. Feedback is most welcome.
2016-02-21: The paper Homotopy linear algebra with Imma Gálvez and Andy Tonks is now available. It was originally the appendix of arXiv:1404.3202.
2016-01-01: The long manuscript arXiv:1404.3202 with Imma Gálvez and Andy Tonks (182pp) has been split into six papers. The first three are now on the arXiv:
Decomposition spaces, incidence algebras and Möbius inversion I: basic theory
Decomposition spaces, incidence algebras and Möbius inversion II: completeness, length filtration, and finiteness
Decomposition spaces, incidence algebras and Möbius inversion III: the decomposition space of Möbius intervals
Feedback is most welcome on all of them.
2015-12-10: My paper "Polynomial functors and combinatorial Dyson-Schwinger equations" is available. An expository companion paper, "Combinatorial Dyson-Schwinger equations and inductive data types", is also available. Feedback is most welcome on both papers.
2015-11-01: My joint work with Michael Batanin and Mark Weber, "Regular patterns, substitudes, Feynman categories and operads", is now on the arXiv. Feedback is most welcome.
Old news

Last updated: 2016-12-01 by Joachim Kock.