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Dr Thomas Karam

Status
Postdoctoral Research Associate
+44 1865 615178
Contact form
https://sites.google.com/view/thomas-karam
Research groups
  • Combinatorics
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications

Thomas Karam, Simple proofs for lattice coverings and sparse tensors. https://arxiv.org/pdf/2311.03344.pdf. European Journal of Combinatorics (special issue) (2024).
 

Thomas Karam, The interplay between bounded ranks of tensors arising from partitions  https://arxiv.org/abs/2310.11356. Mathematika (2024). 
 

Thomas Karam, Small sunflowers and the structure of slice rank decompositions  https://arxiv.org/abs/2308.07101 (2023). Innovations in Theoretical Computer Science (ITCS) 2024. 
 

Jan Draisma and Thomas Karam, On subtensors of high partition rank. https://arxiv.org/pdf/2303.03485.pdf. Proceedings of the American Mathematical Society (2024).
 

Timothy Gowers and Thomas Karam, Equidistribution of high-rank polynomials with variables restricted to subsets of F_p  https://arxiv.org/abs/2209.04932 (2022). In revision at Forum of Mathematics, Sigma.
 

Thomas Karam, High-rank subtensors of high-rank tensors  https://arxiv.org/abs/2207.08030 (2022). In revision at Advances in Combinatorics.



 
 

 

 

Research interests

Primary research interests: 

- Basic properties of the ranks of tensors
- Polynomials in finite fields
- Ramsey theory
- Analysis of Boolean functions
- Geometric inequalities
- Extremal and stability inequalities
- Number theory
- Information theory
 

 

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