Geometric measure theory and harmonic analysis

We are interested in fractals and rectifiability, singular integrals, and more generally harmonic analysis with a geometric flavour, on Euclidean and non-Euclidean spaces.
Geometric measure theory and harmonic analysis

Table of contents

Research group type
Research group
Core fields of research
Basic natural phenomena and mathematical thinking
Faculty
Faculty of Mathematics and Science
Department
Department of Mathematics and Statistics

Research group description

We are interested in fractals and rectifiability, singular integrals, and more generally harmonic analysis with a geometric flavour, on Euclidean and non-Euclidean spaces.

Publications

Publication
2025

Revista Matematica Iberoamericana
Orponen, Tuomas
Yi, Guangzeng
Publication
2025

Proceedings of the London Mathematical Society
DÄ…browski, Damian
Publication
2025

Annales Fennici Mathematici
Pyörälä, Aleksi
Publication
2024

Calculus of Variations and Partial Differential Equations
Wang, Kelei
Yi, Guangzeng
Publication
2024

Journal of the London Mathematical Society
DÄ…browski, Damian
Orponen, Tuomas
Wang, Hong
Publication
2024

Geometric and Functional Analysis
Orponen, Tuomas
Shmerkin, Pablo
Wang, Hong
Publication
2024

Transactions of the American Mathematical Society
Orponen, Tuomas
Publication
2024

Annales Fennici Mathematici
Orponen, Tuomas
Publication
2024

Advances in Mathematics
Pyörälä, Aleksi
Publication
2024

Annales Fennici Mathematici
Hyde, Matthew
Villa, Michele
Violo, Ivan Yuri
Publication
2024

Analysis and PDE
Chang, Alan
DÄ…browski, Damian
Orponen, Tuomas
Villa, Michele
Publication
2023

Bulletin of the London Mathematical Society
Fässler, Katrin
Orponen, Tuomas

Members

Katrin Fässler

Katrin Fässler

Associate professor
Tuomas Orponen

Tuomas Orponen

Associate professor

Matthew Hyde

Academy Research Fellow
Amlan Banaji

Amlan Banaji

Postdoctoral Researcher
Damian Dabrowski

Damian Dabrowski

Postdoctoral Researcher

Max Goering

Postdoctoral Researcher

Aleksi Pyörälä

Postdoctoral Researcher

Alex Rutar

Postdoctoral Researcher
Guangzeng Yi

Guangzeng Yi

Doctoral Researcher

Related projects

Project

Singular integrals, harmonic functions, and boundary regularity in Heisenberg groups

The project's goal is to advance the theory of quantitative rectifiability in the Heisenberg group.
Multi-scale incidence geometry
Project

Multi-scale incidence geometry

Multi-scale incidence geometry
Trees against evening light
Project

Approximate incidence geometry

Approximate incidence geometry
Project

Quantitative rectifiability and harmonic measure beyond the Ahlfors-David-regular setting

The project's goal is to study quantitative rectifiability of non-Ahlfors-David regular sets.