Kydonakis Georgios

Georgios Kydonakis is an Assistant Professor in the Department of Mathematics at the University of Patras. His research focuses on complex geometry, moduli spaces of Higgs bundles, and higher Teichmüller spaces. He holds a Ph.D. from the University of Illinois at Urbana-Champaign (2018), an M.Sc. from the University of Crete (2011), and a B.Sc. from the National and Kapodistrian University of Athens (2008).

Research Interests: Dr. Kydonakis explores advanced topics in geometry and topology, including the interplay between Higgs bundles, spectral networks, and geometric structures. His work bridges pure mathematics with theoretical physics, particularly in areas like BPS states and conformal limits. Recent studies involve Poisson structures on moduli spaces over stacky curves and logahoric Higgs torsors for complex reductive groups.

Teaching & Mentoring: Teaches undergraduate and graduate courses such as Algebra I, Differential Manifolds, and Tensor Analysis. Supervises PhD candidate Enya Hsiao in collaboration with Anna Wienhard (Max Planck Institute). Active in research networks like 'Mathematics in Greece' and serves as a reviewer for the Alexander von Humboldt Foundation.

Publications: Over 12 peer-reviewed articles and preprints, with contributions to journals like Journal of Differential Geometry and Mathematische Annalen. Research trends emphasize geometric correspondences, monodromy analysis, and applications of nonabelian Hodge theory to Hitchin systems.