# Research

## Sam Mattheus

I am a PhD student at Vrije Universiteit Brussel, Belgium, under the supervision of Philippe Cara and Jan De Beule. My research interests are focused on Finite Geometry, Graph Theory and the areas in which they overlap.

You can mail me at sam.mattheus[at]vub.ac.be

My CV can be found here.

My Master thesis titled ‘Finite Geometry and Graph Theory intertwine: Turán numbers’, under supervision of Prof. dr. Leo Storme

List of publications/preprints

[1] Triangle-free induced subgraphs of the unitary polarity graph, with Francesco Pavese. European Journal of Combinatorics 72 (2018) 83–96, DOI.

[2] On the cylinder conjecture, with Jan De Beule, Jeroen Demeyer and Péter Sziklai. Des. Codes Cryptogr. (2019) 87: 879. DOI

[3] On the independence number of graphs related to a polarity, with Francesco Pavese and Leo Storme. J. Graph Theory 92 (2019), 96–110. DOI

[4] Minimal multiple blocking sets, with Anurag Bishnoi and Jeroen Schillewaert. Electron. J. Comb. 25 (2018), no. 4.

[5] Trace of products in finite fields from a combinatorial point of view.
Accepted to SIDMA (2019).

[6] A counterexample to Fuglede’s conjecture in $(\mathbb{Z}/p\mathbb{Z})^4$ for all odd primes. Submitted.

[7] New values for the bipartite Ramsey number of the four-cycle versus stars, with Tamás Héger. Submitted.