Athanasios Megaritis

Dr. Athanasios Megaritis is an Assistant Professor in Pure Mathematics at the Department of Mathematics, University of Patras. His research focuses on General Topology, Dimension Theory, and Topology-related Discrete Mathematics, with significant contributions to Alexandroff spaces and finite lattices.

Academic Qualifications:

• PhD in Mathematics (2011, University of Patras)
• MSc in Mathematics (2007, University of Patras)
• BSc in Mathematics (2005, University of Patras)

Research interests include:

• Topological dimensions (covering and small inductive dimensions)
• Universality in frames and posets
• Applications of matrix theory to finite spaces
• Convergence classes in uniform and semi-uniform spaces

His recent publications analyze dimensional properties of finite and Alexandroff spaces using matrix methods, statistical convergence, and ideal topological frameworks. He has co-authored 68+ peer-reviewed works since 2007.

Teaching duties involve undergraduate and postgraduate courses in Set Theory, Calculus, and Linear Algebra.