معرفی
Ioannis Dokas is an Assistant Professor at the National and Kapodistrian University of Athens. His research focuses on Algebra, Homological Algebra, and Operads, with notable contributions to the study of divided power algebras, pre-Lie algebras, and cohomology theories in prime characteristic. He has held visiting positions at institutions such as the Max-Planck-Institut (Bonn), Isaac Newton Institute (Cambridge), and the University of Strasbourg. His work bridges algebraic structures with categorical and homological methods, emphasizing applications in restricted Lie algebras and operadic frameworks.
- Education: Ptyhion (Mathematics, University of Patras), M.Sc. (Mathematics, University of Warwick), Ph.D. (Mathematics, University of Warwick).
- Postdoctoral Studies: University of Strasbourg under J.-L. Loday.
Research Interests: Dokas explores algebraic systems with divided powers, cohomology theories, and their interplay with operads and categorical algebra. His work emphasizes structures in prime characteristic and their applications to Lie algebras, dendriform algebras, and Rota-Baxter algebras. Recent studies include the cohomology of restricted Lie-Rinehart algebras and the homology of divided power algebras over operads.
Articles Overview: His publications span topics like Quillen-Barr-Beck homology, pre-Lie algebras in prime characteristic, and Zinbiel algebras. Recent work (2023-2024) focuses on operadic homology and Kähler differentials in divided power contexts. Earlier contributions (2004-2013) established foundational results in restricted algebra cohomology and algebraic structures.
