György Kiss is an associate professor of Mathematics at Eötvös Loránd University (ELTE), Budapest, Hungary, and also at the University of Primorska, Koper, Slovenia. He is a senior researcher of the MTA-ELTE Geometric and Algebraic Combinatorics Research group. His research interests are in finite and combinatorial geometry.

Tamás Sz¿nyi is a Professor at the Department of Computer Science in Eötvös Loránd University, Budapest, Hungary, and also at the University of Primorska, Koper, Slovenia. He is the head of the MTA-ELTE Geometric and Algebraic Combinatorics Research Group. His primary research interests include finite geometry, combinatorics, coding theory and block designs.

Definition of projective planes, examples

Basic properties of collineations and the Theorem of Baer

Coordination of projective planes

Projective spaces of higher dimensions

Higher dimensional representations

Arcs, ovals and blocking sets

(k, n)-arcs and multiple blocking sets

Algebraic curves and finite geometries

Arcs, caps, unitals and blocking sets in higher dimensional spaces

Generalized polygons, Mobius planes

Hyperovals

Some applications of finite geometry in combinatorics

Some applications of finite geometry in coding theory and cryptography