Prof. Tom Sanders
Status
Academic Faculty
Senior Research Fellow Royal Society University Research Fellow Tutorial Fellow at St. Hugh's College
Research groups
- Number Theory
- Combinatorics
- Cryptography
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted publications
On certain other sets of integers
Sanders, T (2010) Preferred address
Research interests
I am a research mathematician interested in aspects of algebra, analysis, combinatorics, geometry and number theory, with particular emphasis on using tools from the former to address problems in the latter. I completed my PhD in additive combinatorics and since then my research has primarily focused on additive combinatorics and the allied areas of harmonic analysis and analytic number theory.
Recent publications
On monochromatic solutions to x−y=z2
Sanders, T Acta Mathematica Hungarica volume 161 issue 2 550-556 (22 Jul 2020) Schur's colouring theorem for non-commuting pairs
Sanders, T Bulletin of the Australian Mathematical Society (11 Apr 2019) http://arxiv.org/abs/1901.01738v1 Boolean functions with small spectral norm, revisited
Sanders, T Mathematical Proceedings of the Cambridge Philosophical Society volume 167 issue 2 335-344 (16 May 2018) Approximate homomorphisms between the Boolean cube and groups of prime order
Sanders, T Online Journal of Analytic Combinatorics volume 13 issue 2018 1-7 (18 Apr 2018) Solving xz=y^2 in certain subsets of finite groups
Sanders, T Quarterly Journal of Mathematics volume 68 issue 1 243-273 (06 Jan 2017) Prizes, awards, and scholarships
Adams Prize (2011), European Mathematical Society Prize (2012), Whitehead Prize (2013), European Prize in Combinatorics (2013), ICM Section Lecture (2014)