I don't trust mathematicians with beautiful websites
email: martioller (dot) math (at) gmail (dot) com
Starting in September 2026, I am a postdoc at Charles University, Prague. My mentor is Vita Kala.
Before that, in 2022-2026 I was a PhD student at the University of Cambridge under the supervision of Jack Thorne.
I am interested in number theory and arithmetic geometry, and more specifically arithmetic statistics.
Arithmetic statistics of isogeny Selmer groups associated to hyperelliptic curves.
Preprint. [arXiv] [pdf]
Geometry-of-numbers over number fields and the density of ADE families of curves having squarefree discriminant.
J. Number Theory 281 (2026), 492–532 [journal] [arXiv] [pdf]
The density of ADE families of curves having squarefree discriminant.
J. Théor. Nombres Bordeaux 37 (2025), no. 3, 989–1029 [journal] [arXiv] [pdf]
Arithmetic statistics and Vinberg representations. PhD thesis, available here.
This thesis is a version of the three papers above.
(This webpage is permanently under construction)
Last updated: 22nd September 2026