Journal publications:
T. Karam, Simple proofs for lattice coverings and sparse tensors, published in the European Journal of Combinatorics.
J. Draisma and T. Karam, On subtensors of high partition rank, published in the Proceedings of the American Mathematical Society.
T. Karam, The interplay between bounded ranks of tensors arising from partitions, published in Mathematika.
T. Karam and P. Keevash, The structure of sets with power-avoiding sumsets, published in Mathematika.
T. Karam, On small densities defined without pseudorandomness, published in Finite Fields And Their Applications.
T. Karam, Three applications of coverings to difference patterns, accepted to SIAM Journal of Discrete Mathematics.
Conference publications:
T. Karam, High-rank subtensors of high-rank tensors, published in Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications (Eurocomb 2023).
T. Karam, Small sunflowers and the structure of slice rank decompositions, published in Leibniz International Proceedings in Informatics (for the Innovations in Theoretical Computer Science ITCS 2024 conference).
T. Karam, Ranges of polynomials control degree ranks of Green and Tao over finite prime fields, Published in the conference proceedings of Discrete Mathematics Days 2024.
Selected seminar talks
1: March 2022: Combinatorics seminar, University of Cambridge, Cambridge, UK.
2: February 2023: Combinatorics seminar, University of Oxford, Oxford, UK.
3: May 2023: Combinatorics seminar, University College London, London, UK.
4: May 2023: Combinatorics seminar, University of Warwick, Warwick, UK.
5: June 2023: North meets South Colloquium, University of Oxford, Oxford, UK.
6: July 2023: Combinatorics seminar, Shanghai Center for Mathematical Sciences, Shanghai, China.
7: September 2023: Seminar “Virtual Brazilian Analytic Number Theory Seminar", IMPA, Rio de Janeiro, Brazil.
8: December 2023: Number theory seminar, University of Warwick, Warwick, UK.
9: January 2024: Seminar in Mathematics, Ecole Polytechnique Federale de Lausanne (EPFL), Lausanne, Switzerland.
10: February 2024: Combinatorics seminar, Stanford University, California, USA.
11: March 2024: Combinatorics seminar, Peking University, Beijing, China.
12: May 2024: Geometry seminar, Ecole Polytechnique, Palaiseau, France.
13: October 2024: Information theory seminar, University of Cambridge, Cambridge, UK.
14: December 2024: Combinatorics seminar, Shanghai Jiao Tong University, Shanghai, China.
15: January 2025: Combinatorics seminar, Ecole Polytechnique, Palaiseau, France.
16: February 2025: Combinatorics seminar, IMPA, Rio de Janeiro, Brazil.
17: February 2025: Combinatorics seminar, University College London, London, UK.
18: February 2025: Discrete mathematics seminar, University of British Columbia, Vancouver, Canada.
19: March 2025: Combinatorics, geometry and topology seminar, Institute of Science and Technology Austria, Klosterneuburg, Austria.
20: October 2025: Discrete Mathematics seminar, Southern University of Science and Technology of China (SUSTech), Shenzhen, China.
Selected conference talks
1: July 2022: British Combinatorial Conference, University of Lancaster, Lancaster, UK.
2: September 2022: Warwick-Oxbridge-Manchester-Bristol-London one-day conference in Additive Combinatorics and Analytic Number Theory, London, UK.
3: November 2022: Tensors in Algebraic Complexity and Combinatorics, Centre de recherches mathematiques, Montreal, Canada.
4: April 2023: British Colloquium for Theoretical Computer Science, Glasgow, UK.
5: April 2023: Workshop Combinatorics in Digital Communication, Eindhoven, Netherlands.
6: June 2023: Foundations of Computational Mathematics, Sorbonne Universite, Paris, France.
7: August 2023: European Conference on Combinatorics, Graph theory, and Applications, Prague, Czech Republic.
8: February 2024: The 15th Innovations in Theoretical Computer Science (ITCS) conference, Simons Institute for the Theory of Computing, Berkeley, USA.
9: April 2024: British Colloquium for Theoretical Computer Science, Bath, UK.
10: May 2024: SIAM Conference on Applied Linear Algebra (LA 24), Paris, France.
11: May 2024: Scottish Combinatorics Meeting, University of St Andrews, St Andrews, UK.
12: June 2024: British Mathematical Colloquium, Manchester, UK.
13: July 2024: Discrete Mathematics days, Madrid, Spain.
14: July 2024: Summit 280 (Conference for the 70th birthdays of Peter Frankl, Zoltan Furedi, Ervin Gyori and Janos Pach), Alfred Renyi Institute of Mathematics, Budapest, Hungary.
15: July 2024: SIAM Annual Meeting 2024, Washington, USA.
16: July 2024: 9th European Congress of Mathematics, Sevilla, Spain.
17: December 2024: Winter Young Mathematician Forum, Shanghai Jiao Tong University, Shanghai, China.
18: April 2025: British Colloquium for Theoretical Computer Science, Strathclyde
19: May 2025: Combinatorial and Additive Number Theory (CANT 2025) Conference, New York, USA.
20: May 2025: Canadian Discrete and Algorithmic Mathematics Conference, Ottawa, Canada.
