معرفی
Prof. Dr. Atabey Kaygun is a full-time Professor at the Department of Mathematics within the Faculty of Letters at Istanbul Technical University. His primary research focuses on pure mathematics including Topology, Geometry, Algebra, and Number Theory, with significant contributions to applied fields like Topological Data Analysis and Quantum Algebra. He holds a PhD from Ohio State University and has held academic positions internationally including at Bahçeşehir University, Max Planck Institute for Mathematics, and the University of Buenos Aires.
Research Interests: Prof. Kaygun's work bridges theoretical mathematics with computational applications. His core expertise includes:
- Algebraic topology (Cyclic Homology, Hochschild Cohomology)
- Quantum algebra (Hopf algebras, Quantum Groups)
- Computational topology (Persistent Homology, Topological Data Analysis)
- Interdisciplinary applications in machine learning and Ottoman historical analysis
Publication Trends: His recent articles (2018-2024) demonstrate a dual focus:
- Theoretical developments in noncommutative geometry and quantum algebras
- Applied computational methods for topological data analysis and historical text mining
- Emerging work in educational data mining and stochastic process classification
Research Projects & Advising: He leads projects funded by Istanbul Technical University's BAP program:
- Lefschetz Numbers and Cartan Determinant Conjecture (2022-2024)
- Dold-Kan Theorem for Crossed Simplicial Groups (2021-2022)
- Relationships between Topological Data Analysis and Machine Learning (2020-2022)
