Publications

Papers

The Category of Iterative Sets in Homotopy Type Theory and Univalent Foundations — Daniel Gratzer, Håkon Gylterud, Anders Mörtberg, Elisabeth Stenholm. Preprint 2024.

Univalent Material Set Theory — Håkon Robbestad Gylterud, Elisabeth Stenholm. Preprint 2023.

Terminal Coalgebras and Non-wellfounded Sets in Homotopy Type Theory — Håkon Robbestad Gylterud, Elisabeth Stenholm. Preprint 2023.

Master’s thesis

Formalizing Cartesian Cubical Sets in UniMath. Awarded the Mittag-Leffler prize for excellent master’s theses at Stockholm University. Defended March 2020. Supervisor: Anders Mörtberg.

Bachelor’s thesis

An Introduction to Algebraic Geometri and Bezout’s Theorem. Defended June 2018. Supervisor: Gregory Arone.

Talks

The Category of Iterative Sets in HoTT — Daniel Gratzer, Håkon Gylterud, Anders Mörtberg, Elisabeth Stenholm. Presented at HoTT/UF 2023.

Abstract | Video

Non-wellfounded Sets in HoTT — Håkon Robbestad Gylterud, Elisabeth Stenholm. Presented at HoTTEST, November 2023.

Video

Code

Co-founder of the Agda Unimath library — the currently largest Agda library of formalised mathematics from the univalent point of view.

Set Theory in Homotopy Type Theory — an Agda formalisation of set theory in homotopy type theory.

Ongoing education

PhD candidate in Programming Theory at the University of Bergen. Supervisors: Håkon Robbestad Gylterud (Apr 2020 – Nov 2023), Anders Mörtberg (Dec 2023 –).

Degrees

Master of Science with main field of study: Mathematics. Issued at Stockholm University in April 2020.

Bachelor of Science with main field of study: Mathematics. Issued at Stockholm University in November 2018.