[1] He works in arithmetic combinatorics and analytic number theory.
Thomas did his undergraduate degree in Mathematics and Philosophy at Merton College, Oxford.
He then went on to do his PhD in mathematics at the University of Bristol under the supervision of Trevor Wooley.
After finishing his PhD, he was a Heilbronn Research Fellow at the University of Bristol.
In 2018, he became a postdoctoral research fellow at the University of Cambridge with Timothy Gowers.
In 2021, he joined the University of Oxford as a Research Fellow.
[2] Then, in 2024, he moved to the University of Manchester, where he also took on a Research Fellow position.
This is the first non-trivial case of a conjecture of Erdős postulating that any such set must in fact contain arbitrarily long arithmetic progressions.