# Erlend D. Børve

I am a mathematician, specialising in representation theory of algebras, tilting theory and generalisations, and related areas. Currently, I am a research assistant at the University of Cologne, funded by the DFG project Symplectic Structures in Geometry, Algebra and Dynamics. I will soon join the Algebraic Structures and Geometry Group at the University of Graz.

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. After my PhD, I spent a year as a CHARMS postdoctoral researcher at Institut Fourier.

Photo credit: Kai Torgeir Dragland (2021)

## Contact information

### Address

Department of Mathematics and Computer Science, Division of MathematicsUniversity of Cologne

Weyertal 86-90

50931 Cologne

Germany

Office: 306

## Research output

- (with J. F. Grevstad and E. S. Rundsveen) τ-tilting finiteness and g-tameness: Incidence algebras of posets and concealed algebras, arXiv
- Silting reduction and picture categories of 0-Auslander extriangulated categories, arXiv
- (with P. Trygsland) A theorem of Retakh for exact ∞-categories and higher extension functors, arXiv
- Two-term silting and τ-cluster morphism categories, arXiv

## Teaching

- Spring 2021: Lecturer in Basic Calculus 2 (remote version) at NTNU
- Spring 2021: Teaching assistant in Basic Calculus 2 at NTNU
- Autumn 2020: Teaching assistant in Basic Calculus 1 at NTNU
- August 2020: Lecturer in
__Crash Course in Calculus 1__at NTNU - Spring 2020: Lecturer in Basic Calculus 2 (remote version) at NTNU
- Spring 2020: Teaching assistant in Basic Calculus 2 at NTNU
- Autumn 2019: Teaching assistant in Calculus 1 at NTNU

## Conference organisation

- May 2024: CHARMS Summer School
- March 2023: Combinatorial aspects of Representation Theory (technical support)