Nathan Hughes

I am a PhD student supervised by Dr Jimmy Tseng and Professor Nigel Byott. I graduated from the University of Warwick in 2018 and worked as a data engineer before joining Exeter in 2020.

My main interests are homogeneous dynamics and applications to number theory. Currently, I am working on effective ergodic theorems and their applications to problems in Diophantine approximation.

Preprints

Effective Counting and Spiralling of Lattice Approximates, 2022 arXiv

Mean Values over Lattices in Number Fields and Effective Diophantine Approximation, 2023 arXiv