Tom Kempton

Tom Kempton

From Lucca Tower

Following the birth of my son I will be working reduced hours until August 2022. I will be in Manchester for the spring semesters of 2021 and 2022, where I will continue to teach Metric Spaces and Fractal Geometry, but will spend Autumn 2020 and Autumn 2021 working remotely from Helsinki and Thessaloniki. I will not be supervising any undergraduate projects for this time, and will be more selective about the refereeing work that I take on. Please feel free to get in touch by email as usual.

About Me:

I'm a lecturer at the University of Manchester working in the dynamical systems group. You can find our seminar webpage here.

My main interests lie in applications of thermodynamic formalism to problems in fractal geometry and number theory, and in particular in the study of Bernoulli convolutions and self-affine sets. Fringe interests include percolation and the graph reconstruction conjecture. My research is partially funded by EPSRC grant EP/T010835/1

Previously I was an EPSRC funded postdoc at the University of St Andrews working with Kenneth Falconer on various problems relating to dynamics on self-affine sets. Before that I worked with Karma Dajani at the University of Utrecht. The main focus of my research there was the ergodic theory of dynamical systems relating to expansions of real numbers. In particular, I looked at how properties of the random beta-transformation can be used in the discussion of absolute continuity of Bernoulli convolutions.

I completed my PhD at the University of Warwick in March 2011 under the supervision of Mark Pollicott. My thesis was on thermodynamic formalism for symbolic dynamical systems.

I'm originally from Derby and have also lived in Coventry, Utrecht, Edinburgh, Helsinki and Manchester. I regularly take part in Parkrun and am currently struggling to learn the Greek language. My wife Aspa is currently a postdoc at the VATT institute, Helsinki.

Publications and Preprints:

Please see here for my publications and preprints. Click here for my Google Scholar profile.

PhD and Postdoc Opportunities:

I'm keen to supervise PhD students, either as a sole supervisor or jointly with other members of the dynamical systems group. If you are thinking about doing a PhD at Manchester then please get in touch. The school has various sources of funding including a number of fully funded EPSRC scholarships. Please drop me an email if you think you might be interested.

I'm also keen to supervise postdocs, please get in touch if you think you might like to work with me. As well as the usual national sources of funding that we might apply for, EPSRC funded PhD students could apply for the one year EPSRC Doctoral Prize, and citizens of certain countries could apply to work for the Heilbronn Institute at Manchester, supervised by me.

I currently have one PhD student, Alexandros Batsis. I supervised Demi Allen for a one year Postdoc at Manchester.


I teach Metric Spaces and Fractal Geometry, both of which take place during the Spring semester. Full course information can be found on blackboard.

Outreach and Public Engagement:

I run Mathsbombe, an online maths competition aimed primarily at students up to Year 13 (England and Wales), S6 (Scotland), Year 14 (Northern Ireland). You can find questions that I have written here, here, here, here, here and here. I also take part in Science X and the Alan Turing Cryptography Day.

Conference Organisation:

Together with Xiong Jin and Jon Fraser I am organising a fractals conference at ICMS Edinburgh from 14th to 19th June 2021. More information to follow shortly.

I have organised a couple of One-day ergodic theory meetings at Manchester.

Together with Charlene Kalle I organised a series of one day meetings in the Netherlands on Ergodic theory. These were supported by grants from the NWO and from the STAR cluster.

Tom Kempton
School of Mathematics
The University of Manchester
M13 9PL
United Kingdom
Office number 2.218
0044 161 3063683