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.
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.
The Department of Mathematics of Uppsala University is currently hiring several PhD students.
There are two open positions in the open call, see here for more information: Two PhD Positions (Deadline 31 March).
There is also an open call within the Centre of Interdisciplinary Mathematics with several more positions available: PhD Positions at CIM (Deadline 28 March).
Together with Shaobo Jin, we are teaching the PhD course in Probability and Statistics this Spring Semester 2025. Basic information about the course will be collected here. See below for practical information.
From 9–24 November 2024, I taught at the National Higher School of Mathematics (NHSM) in Algiers, Algeria as part of the International Mathematics Masters Programme (IMM)1. Over the course of two weeks, I taught part of the “Advanced Probability” module, focusing on martingales and branching processes.
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.
I am excited to announce that I will be teaching at the International Mathematical Master (IMM) programme in Algeria for two weeks during Autumn 2024. The IMM aims to promote mathematical excellence by providing high-quality education through a two-year Master’s programme. It focuses on fundamental and core mathematical topics, preparing students for competitive PhD programmes worldwide.
