Yusuf Barış Kartal

About

I am an assistant professor of mathematics at the National University of Singapore. I am interested in symplectic topology, homological mirror symmetry and Floer homotopy theory. Previously, I was a postdoctoral research associate at the University of Edinburgh, supported by Nick Sheridan's grant, and before that a math instructor at Princeton University. I have received my PhD from MIT in June 2019 under the supervision of Paul Seidel.

Contact Information

Email: ybkartal@nus.edu.sg

Office address:
Department of Mathematics, National University of Singapore
Blk S17, 10, Lower Kent Ridge Road, Singapore 119076

Papers and preprints

"Dynamical invariants of mapping torus categories", Advances in Mathematics 389 (2021) 107882, arXiv:1809.04046
"Distinguishing open symplectic mapping tori via their wrapped Fukaya categories", Geometry & Topology 25 (2021) 1551-1630, arXiv:1907.01156
"Iterations of symplectomorphisms and p-adic analytic actions on the Fukaya category", Invent. math. (2025), arXiv:2008.08566
"Categorical action filtrations via localization and the filtration growth as a symplectic invariant", joint with Laurent Côté, J. Reine Angew. Math (Crelles Journal) (2023), arXiv:2108.05938
"Algebraic sheaves of Floer homology groups via algebraic torus actions on the Fukaya category", arXiv:2109.12256.
"Equivariant Floer homotopy via Morse-Bott theory", joint with Laurent Côté, arXiv:2309.15089.
"Recovering generalized cohomology from Floer homology: the complex oriented case", joint with Laurent Côté, arXiv:2404.02776.

Slides and videos from talks

With Andrew Blumberg and Laurent Côté, I have co-organized a conference on Homotopy theory and Floer homology at the Mittag-Leffler Institute during June 23-27, 2025.

With Darrick Lee, I have recently co-organized a learning seminar on Hodge Theory for Cellular and Network Sheaves.