I am a postdoctoral research associate at the University of Edinburgh, supported by Nick Sheridan's grant. I am interested in symplectic topology, mirror symmetry and categorical dynamics. Before coming to Edinburgh, I was a math instructor at Princeton University. I have received my PhD from MIT in June 2019 under the supervision of Paul Seidel.
Curriculum VitaeEmail: ykartal@ed.ac.uk
Office address:
School of Mathematics, University of Edinburgh,
James Clerk Maxwell Building, Edinburgh, EH9 3FD
"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.
I am co-organizing a conference on Homotopy theory and Floer homology at the Mittag-Leffler Institute during June 23-27, 2025.