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Erlend D. Børve

I am a mathematician, specialising in representation theory of algebras, tilting theory and generalisations, and related areas. Currently, I am a postdoctoral fellow in the Homological Algebra Group at Aarhus University, working with Peter Jørgensen.

From June 2019 to June 2023, I was a PhD candidate at NTNU's Department of Mathematical Sciences, supervised by Aslak Buan. My PhD thesis is entitled Homotopical and geometric tools in representation theory. Before coming to Aarhus, I held postdoctoral positions in Grenoble (with Claire Amiot), Cologne (with Sibylle Schroll), and Graz (with Martin Kalck).

Photo credit: Kai Torgeir Dragland (2021)

Contact information


If you are a student at Aarhus University, please use my Aarhus University email address. email


email





Address

Office 1530/325
Department of Mathematics
Aarhus University
Ny Munkegade 118
8000 Aarhus C
Denmark

Research output

  1. (with M. Kaipel, with an appendix by E. J. Hanson) Bricks and τ-tilting theory under base field extensions.
    arXiv
  2. (with J. F. Grevstad and E. S. Rundsveen) τ-tilting finiteness and g-tameness: Incidence algebras of posets and concealed algebras, Journal of Algebra 684 (2025), 354–393.
    arXiv   Journal
  3. Silting reduction and picture categories of 0-Auslander extriangulated categories.
    arXiv
  4. (with P. Trygsland) A theorem of Retakh for exact ∞-categories and higher extension functors.
    arXiv
  5. Two-term silting and τ-cluster morphism categories.
    arXiv

Teaching

  1. Spring 2026: Lecturer in Homological Algebra at Aarhus
  2. Spring 2021: Lecturer in Basic Calculus 2 (remote version) at NTNU
  3. Spring 2021: Teaching assistant in Basic Calculus 2 at NTNU
  4. Autumn 2020: Teaching assistant in Basic Calculus 1 at NTNU
  5. August 2020: Lecturer in Crash Course in Calculus 1 at NTNU
  6. Spring 2020: Lecturer in Basic Calculus 2 (remote version) at NTNU
  7. Spring 2020: Teaching assistant in Basic Calculus 2 at NTNU
  8. Autumn 2019: Teaching assistant in Calculus 1 at NTNU

Organisation

  1. Autumn 2025: Graz Algebra and Geometry Seminar
  2. May 2024: CHARMS Summer School
  3. March 2023: Combinatorial aspects of Representation Theory (technical support)