About me

I am an Associate Professor (Universitetslektor) working at Uppsala University and holder of the title of docent (Finnish: dosentti, equivalent to habilitation). I am interested in interactions between various aspects of pure mathematics, focussing on dimension theory, random geometry, and dynamical systems.

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.


Recent Updates

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.

Article: Minkowski Weak Embedding Theorem

Article: Minkowski Weak Embedding Theorem

My article Minkowski weak embedding theorem1 with Stathis Chrontsios-Garitsis just got accepted at HJM, so it’s high time that I write a short summary.

The two sentence version: The Assouad embedding theorem loosely states that any metric space with finite Assouad dimension can be embedded into $\mathbb{R}^n$ without too much distortion. The Minkowski (or box-counting) dimension is smaller than the Assouad dimension and we show that an analogue of the Assouad embedding theorem still holds if one replaces the assumption of finite Assouad dimension with the weaker assumption of finite Minkowski dimension.

Appointment at Uppsala University

Appointment at Uppsala University

I am excited to announce that from September 2024, I am joining the Department of Mathematics at Uppsala University as Associate Professor (Universitetslektor) with specialisation in Probability Theory. I will be working in the research group in Probability Theory and Combinatorics.

The move follows at the end of my tenure as a Marie Skłodowska-Curie fellow at the University of Oulu. After two years of living in the arctic, I am looking forward to moving south and working on my tan again.

Fields Institute Mini Course

Fields Institute Mini Course

I am currently at the Fields Institute as part of the Randomness and Geometry thematic programme and will give a series of lectures on basic concepts in fractal geometry. The mini-course will be mostly concerned with the dimension theory of self-similar and self-conformal sets.

The lectures can also be followed on Zoom, see here for the schedule and link.

Conference: Geometry and Fractals under the Midnight Sun

Conference: Geometry and Fractals under the Midnight Sun

Together with Roope Anttila, Antti Käenmäki, and Ville Suomala, I am organising a conference on the interplay of Geometric Measure Theory, Dynamical Systems, and Probability Theory.

The conference will be held on 25 – 28 June 2024 at the University of Oulu in Oulu, Finland. Deadline for registration is at the end of May.