Joachim Kock

Joachim Kock is an Associate Professor at the Department of Mathematical Sciences, University of Copenhagen, with research focusing on category theory, homotopy theory, combinatorics, and algebraic geometry. His work explores intersections with probability theory, mathematical physics, and computer science, particularly through decomposition spaces, operads, and categorical structures.

• Education: Not explicitly mentioned
• External Employment: Professor Titular at Autonomous University of Barcelona
• Research Areas:
  • Category theory and higher structures
  • Homotopy-theoretic combinatorics
  • Decomposition spaces and incidence algebras
  • Applications in computer science and mathematical physics
• Recent Publications:
  • 2024: ∞-operads as symmetric monoidal ∞-categories
  • 2022: Tracelet Hopf Algebras and Decomposition Spaces
  • 2022: Infinity-Operads as Analytic Monads
  • 2021: Every 2-Segal space is unital
  • 2021: Operadic categories and decalage
• Editorial Activities:
  • Editor, Theory and Applications of Categories (since 2017)
  • Editor, Higher Structures (2016–2022)
  • Editor, Compositionality (since 2018)