# Contact

Office 2.120, Alan Turing Building

School of Mathematics

University of Manchester

Manchester, M13 9PL, UK

*Riemann surfaces of negative curvatures*

Hei! You have reached the website of Tuomas Sahlsten. I am
originally from Finland (*'Hei'
= 'Hi'* in Finnish) and now working as a Lecturer in Pure
Mathematics at the School
of Mathematics in the University
of Manchester, UK. See my CV
for more about my past.

# Research

My earlier work concentrated on geometric measure theory, in
particular tangent measures and their connections to entropy,
porosity
and dimension
[1], [2], [3]. Since then I've also studied problems
related to harmonic
analysis in the context of chaotic
dynamical systems, Diophantine
approximation and probability
theory [4], [5], [6]. My current work focuses on the spectral
theory and coarse
structure of complex
networks and random Riemannian
surfaces. We develop quantum chaos for random
surfaces of large genus
[7], [8], [9].

Some of my current and past PhD
students and postdoctoral assistants include Connor Stevens (2017-2021), Joe
Thomas (2018-2022), Borys Kuca (2019-2020), and Cliff Gilmore (2019).

See arXiv
for my most recent list of publications.

I sometimes try to record the life of a mathematics researcher
in videos and vlog, check out my YouTube
channel!

# Teaching

I regularly lecture courses in the University, here is a list
of the past, current and future courses I've lectured or
prepared with links to their websites:

- Analysis, Random Walks and Groups

2020-2021*(on Blackboard)*, 2019-2020, 2018-2019

- Mathematics 0C2

2020-2021*(on Blackboard)*, 2019-2020, 2018-2019, 2017-2018 - Metric Spaces
(MSc in Pure Mathematics)

*Online module on Blackboard*(Uni Manchester) - Additive Combinatorics and Ergodic Methods in
Fractals

2015-2016

# Contact

Office 2.120, Alan Turing Building

Department of Mathematics

University of Manchester

Manchester, M13 9PL, UK

*Riemann surfaces of negative curvatures*