Tuomas Sahlsten

Tuomas Sahlsten

Contact

Office 2.120, Alan Turing Building
School of Mathematics
University of Manchester
Manchester, M13 9PL, UK

Hyperbolic Surfaces
       Riemann surfaces of negative curvatures

                 (Sinikka Sahlsten, 2020)


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. In particular 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-), Joe Thomas (2018-), 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:

Contact

Office 2.120, Alan Turing Building
Department of Mathematics
University of Manchester
Manchester, M13 9PL, UK

Hyperbolic Surfaces
Riemann surfaces of negative curvatures

              (Sinikka Sahlsten, 2020)