Geometric structures over a finite field: finite classical polar spaces, Grassmannians of subsapces, ovoids, spreads and regular systems, linear sets and linearized polynomials.

Applications on graph theory: algebraic graph theory, strongly regular graphs, 1-factorizations of complete graphs.

Applications on coding theory: minimal linear codes, two-weight codes, MRD codes in the rank metric.

Coding Theory and Cryptography

Graph Theory and Robotics

Discrete Mathematics and applications