Dr Thomas Bloom
Status
Research Fellow
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent publications
On a density conjecture about unit fractions
Bloom, T (07 Dec 2021) http://arxiv.org/abs/2112.03726v1 A new upper bound for sets with no square differences
Bloom, T Maynard, J (26 Nov 2020) http://arxiv.org/abs/2011.13266v2 Quantitative inverse theory of Gowers uniformity norms
Bloom, T (03 Sep 2020) http://arxiv.org/abs/2009.01774v1 Breaking the logarithmic barrier in Roth's theorem on arithmetic
progressions
Bloom, T Sisask, O (07 Jul 2020) http://arxiv.org/abs/2007.03528v2 progressions
GCD sums and sum-product estimates
Bloom, T Walker, A Israel Journal of Mathematics volume 235 1-11 (07 Oct 2019)