Rune Haugseng

Notice: To the greatest extent I am legally able to, I refuse permission to use any of my work for AI training purposes.

Lecture Notes

• Categories and Topology (2017, with Jesper Grodal)
  Notes for the second half of an MSc course in Copenhagen; the topics covered are homotopy colimits and p-localization and p-completion of spaces.
• Introduction to ∞-categories (2017)
  Notes from an 8-week PhD course in Copenhagen
• Algebraic Topology I (2020)
  14-week course at NTNU, covers singular homology and cohomology up to Poincaré duality
• Introduction to Lie Theory (2022)
  14-week course at NTNU
• An allegedly somewhat friendly introduction to ∞-operads (2023)
  Notes from a series of 7 lectures in Sevilla (October 2022)

Talk Slides

• Polynomial monads and Segal conditions
  Workshop on Polynomial Functors, Topos Institute (online), 19 March 2021
• Homotopy-coherent distributivity and the universal property of bispans
  Higher Homotopical Structures Opening Workshop, CRM (online), 4 February 2021
• From absolute colimits to TQFTs
  MIT Topology Seminar (online), 25 August 2020
• Introduction to ∞-operads (2 talks)
  Workshop on ∞-categories, MPIM Bonn (online), 18 August 2020
• Iterated spans and classical TFTs
  Lisbon TQFT Seminar (online), 29 July 2020
• Linear BV-quantization as a functor of ∞-categories
  Nottingham Mathematical Physics Seminar (online), 3 June 2020
• Enriched homotopy-coherent structures
  MSRI Online Seminar, 12 May 2020
• The universal property of bispans
  (∞,n)-Categories, Factorization Homology, and Algebraic K-Theory, MSRI (online), 27 March 2020
• Topological quantum field theories and higher algebraic structures
  Norwegian National Mathematicians' Meeting, Bergen, 14 September 2018
• Enriched (∞,n)-categories and TQFTs
  15 minute presentation in MPIM Oberseminar, 17 July 2014
• Spectral Sequences for the Cohomology of Finite and Infinite Loop Spaces
  Young Topologists' Meeting, Copenhagen, 30 June 2014

Notes from Expository Talks

• Étale K-theory and Thomason's Theorem
  K-Theory Lunch Seminar, MIT, 12 May 2011
• Cobordism and the Pontryagin-Thom Construction
  Puma Grass, MIT, 18 March 2011
• Duality, trace, and transfer
  Babytop, MIT, 26 October 2010
• The Q-construction for stable ∞-categories
  Summer topology seminar, MIT, 9 August 2010
• Formal schemes
  Stacks reading group, MIT, 2 March 2010
• Flat morphisms and the fpqc topology
  Stacks reading group, MIT, 16 March 2010