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
I am co-organizing a conference on Homotopy theory and Floer homology at the Mittag-Leffler Institute during June 23-27, 2025.
"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
Slides from CMSA Mathematical Physics Seminar, November 2017
Video from IAS/Princeton Symplectic Geometry Seminar, November 2018
Video from a short talk at SMS Current Trends in Symplectic Topology, July 2019
Video and Slides from Freemath, August 2020
Video and Slides from Symplectic Zoominar, February 2021
Video and Slides from Symplectic Zoominar, December 2023
Organizational