Szego Assistant Professor

https://profiles.stanford.edu/umut-varolgunes / CV/ Blog

Papers

- On the equatorial Dehn twist of a Lagrangian nodal sphere, Proc. of the 22nd Gokova Geometry/Topology conference (2017) - arxiv

- Mayer-Vietoris property for relative symplectic cohomology (thesis, arxiv) - accepted for publication in Geom. Topol.

-Seifert form of chain type invertible singularities - arxiv - revision sent after very positive referee report to Kyoto Journal of Math.

-Super-rigidity of certain skeleta using relative symplectic cohomology (joint with Dmitry Tonkonog) - arxiv - accepted for publication in J. of Topology & Analysis

Ongoing projects

- Non-archimedean mirrors of almost toric fibrations (joint with Yoel Groman) - in writing* (split into two parts)

-Homological mirror symmetry for chain type singularities (joint with Alexander Polishchuk) - in writing*

- Quantitative non-squeezing (joint with Kevin Sackel, Antoine Song and Jonathan Zhu) - in writing* 

- Quantum cohomology as a deformation of symplectic cohomology (joint with Nick Sheridan and Strom Borman) - in writing

-Framed E_2 algebra structure on relative symplectic cohomology (joint with Mohammed Abouzaid and Yoel Groman) - in writing

- Local Fukaya category (joint with Mohammed Abouzaid and Yoel Groman) 

* contact me by email for not fully completed drafts

Notes

- Slides from my talk at the Simons Colloboration on HMS annual meeting 2019

- Notes from talks about the project with Y. Groman 

- Slides from a talk about the project with A. Polishchuk

Teaching

- Winter 2019: Math 113 and 215B

- Spring 2019: Math 257C

- Fall 2019: Math 147 and 257A

- Spring 2020: Math 53 (syllabus, please email me for full website, I am not allowed to put the link here)

- Winter 2021: Math 215B

Organizational

- Stanford symplectic geometry seminar 2020-2021