Dr Thomas Karam
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Thomas Karam, The interplay between bounded ranks of tensors arising from partitions (2023) https://arxiv.org/abs/2310.11356 (25 pages).
Thomas Karam, Small sunflowers and the structure of slice rank decompositions (2023) https://arxiv.org/abs/2308.07101 (45 pages).
Timothy Gowers and Thomas Karam, Low-complexity approximations for sets defined by generalizations of affine conditions (2023) https://arxiv.org/abs/2306.00747 (26 pages).
Thomas Karam, Ranges of polynomials control degree ranks of Green and Tao over finite prime fields (2023) https://arxiv.org/abs/2305.11088 (25 pages).
Timothy Gowers and Thomas Karam, Equidistribution of high-rank polynomials with variables restricted to subsets of F_p (2022) https://arxiv.org/abs/2209.04932 (42 pages).
Thomas Karam, High-rank subtensors of high-rank tensors (2022) https://arxiv.org/abs/2207.08030 (69 pages).
Primary research interests: Combinatorics, number theory, tensors, Ramsey theory, Fourier analysis, geometric inequalities, analysis of Boolean functions, information theory.