I am an Associate Professor (Universitetslektor) working at Uppsala University and holder of the title of docent (Finnish: dosentti, equivalent to habilitation). I am a member of the Probability and Dynamics groups and am interested in interactions between various aspects of pure mathematics such as dimension theory, random geometry, and dynamical systems.
From January 2027 I lead the project Duality methods for overlapping attractors, funded by a four-year project grant from the Swedish Research Council (Vetenskapsrådet).
Previously, I was holder of the Horizons Europe Marie Skłodowska-Curie Action European Fellowship (MSCA-EF) “Dimension and Dynamics” working at the University of Oulu (Finland) and FWF Lise Meitner Senior Fellow at the University of Vienna (Austria). I was also at the University of Waterloo (Canada) for a postdoc fellowship and completed my doctorate at the University of St Andrews (Scotland) under the supervision of Kenneth Falconer and Mike Todd.
Below are the most recent pages that I added to this webpage. They may take the form of articles or news items. A full list of either can be found on the News tab.
I am delighted that the Swedish Research Council (Vetenskapsrådet) has awarded me a four-year project grant for Duality methods for overlapping attractors (Dualitetsmetoder för överlappande attraktorer, grant 2026-06300).
The project runs from January 2027 to December 2030 at Uppsala University and includes funding for a postdoctoral position. The position will be advertised in due course and details will appear here.
Over the last few months I have gotten back into Lean and worked with LLMs to formalise much of my own mathematics as well as the mathematics that I rely on. A concrete result of those is a GitHub repository for Fractal Geometry that may be interesting to you if you want to formalise similar results. A link can be found at the end of this post, which is all about recent happenings in AI and Maths.
Last week, Balázs Bárány, István Kolossváry, and I organised a focussed workshop at the Erdős Center (Rényi Institute) in Budapest. The event was centred on recent progress on self-conformal and self-similar sets, in particular analytic iterated function systems and the Fourier decay of invariant measures.
The purpose of this blog entry is two-fold:
The Department of Mathematics at Uppsala University is currently advertising several open positions.
We are looking for an Assistant Professor (Biträdande universitetslektor) in the Department of Mathematics or IT. This is a tenure-track position and an excellent opportunity for early-career researchers. More details and application instructions can be found here: Assistant Professor Position (Deadline 20 March).
We also have up to four PhD positions available in the Department of Mathematics. For more information, see: PhD Positions (Deadline 16 March). Also feel free to contact me for information if you are interested.
I am teaching the summer school course Random Geometry and Embeddability (MA3) at the 34$^{th}$ Jyväskylä summer school course. Here you can (eventually) find extra information on the course such as exercises, resources, and handwritten notes.
