Areas of Expertise
Symplectic Geometry, Mathematical Physics, Higher Category Theory, Representation Theory, Topological Data Analysis.
Teaching Interests
Calculus, Linear Algebra, Abstract Algebra, Differential Equations, Real Analysis, Topology.
Research
Dogancan Karabas’s research focuses on mirror symmetry, a central conjecture in mathematics with roots in string theory. It predicts a surprising equivalence between symplectic geometry, which studies shapes using differential methods, and algebraic geometry, which studies shapes using polynomial equations. More recently, he is applying methods he developed in geometry and algebra to data analysis. More information can be found on his personal website .
Representative Publications
- D. Karabas and S. Lee, The wrapped Fukaya category of plumbings , Journal of Symplectic Geometry (In Press)
- H. Bae, D. Choa, W. Jeong, D. Karabas, and S. Lee, On categorical entropy from the viewpoint of symplectic topology , Mathematical Research Letters (In Press)
- D. Choa, D. Karabas, and S. Lee, Exotic families of symplectic manifolds with Milnor fibers of ADE-type , Mathematische Zeitschrift 307, 74 (2024)
Education
- Ph.D. in Mathematics, King’s College London (2019)
- M.S. in Mathematics, Bogazici University (2016)
- B.S. in Mathematics, Bogazici University (2014)
- B.S. in Physics, Bogazici University (2014)
Previous Appointments
- Program Specific Researcher, Kyoto University Institute for Advanced Study (2025)
- Project Researcher, Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo (2022-2025)
- Boas Assistant Professor, Northwestern University (2020-2022)
- Postdoctoral Research Fellow, Institute for Basic Science, Center for Geometry and Physics (2019-2020)