Assia Petrova Rousseva

Assia Petrova Rousseva serves as a Professor of Geometry at the Faculty of Mathematics and Informatics, Sofia University. Her academic profile centers on rigorous research in finite geometry and coding theory, with significant contributions to the structural analysis of plane arcs and their cryptographic applications. She maintains active engagement through regular office hours (Tuesdays 14:00-15:00, Wednesdays 12:00-13:00) from her office FMI-522, and can be contacted via assia@fmi.uni-sofia.bg or +359 2 8161-647.

Her research program focuses on Finite Geometry, Coding Theory, Combinatorial Geometry, and Discrete Mathematics. She has pioneered investigations into Hughes planes, plane arcs, minihypers, and Suzuki group geometries, establishing critical connections between combinatorial configurations and error-correcting code design. Her methodology integrates abstract algebraic structures with geometric reasoning to solve existence problems and characterize extremal configurations in finite projective spaces.

Between 2000-2008, Rousseva produced 15 major publications exploring arcs in projective planes (PG(4,4), PG(4,5)), optimal codes over finite fields, and minihyper structures. Her work consistently addresses characterization theorems, nonexistence proofs (e.g., Griesmer arcs), and construction techniques, frequently collaborating with I. Landjev. Publications appear in high-impact venues including Designs, Codes and Cryptography and proceedings of the Union of Bulgarian Mathematicians, demonstrating sustained theoretical innovation at the geometry-coding theory interface.