Dagur Asgeirsson
Postdoc in mathematics
University of Alberta
Postdoc in mathematics
University of Alberta
I am a postdoc at the University of Alberta, working with Adam Topaz. I obtained my PhD from the University of Copenhagen under the supervision of Dustin Clausen. During my PhD, I worked on establishing the foundations of a theory of solid spectra, a higher analogue of solid abelian groups, a condensed version of complete topological groups, as well as formalizing the foundations of condensed mathematics in the Lean theorem prover. I post my ongoing formalization projects to GitHub. I contribute to Lean's mathematical library mathlib, where I am also a reviewer. I am currently involved in various formalization projects related to category theory, condensed mathematics, and arithmetic and anabelian geometry. My CV is available here.
Categorical foundations of formalized condensed mathematics (joint with R. Brasca, N. Kuhn, F. Nuccio, and A. Topaz). J. Symb. Log. Published online 2024:1-28. doi:10.1017/jsl.2024.69.
Towards solid abelian groups: A formal proof of Nöbeling's theorem. 15th International Conference on Interactive Theorem Proving (ITP 2024), 6:1–6:17. doi:10.4230/LIPIcs.ITP.2024.6.
Palindromes in finite groups and the Explorer-Director game (joint with P. Devlin). Internat. J. Alg. Comput. 31 (2021), no. 3, 491-499. doi:10.1142/S0218196721500235.
PhD thesis: Towards a formalized theory of solid modules. 2025. PhD thesis, University of Copenhagen. Supervisor: Dustin Clausen.
Note: Discrete condensed objects. 2022. Mostly incorporated into my PhD thesis.
Note: Solid spectra. 2022. Mostly incorporated into my PhD thesis.
MSc thesis: Foundations of condensed mathematics. 2021. Supervisors: Dustin Clausen and Wieslawa Niziol.
M1 thesis: Cranks and t-cores. 2020. Supervisor: Olivier Brunat.
BSc thesis: Palindromes in finite groups. 2019. Supervisors: Pat Devlin and Rögnvaldur Möller. The main results were improved and published in doi:10.1142/S0218196721500235.