I am Deniz Genlik, a final-year Ph.D. student at The Ohio State University. My research area is algebraic geometry, and my research interests are accumulated around Gromov-Witten theory. Mostly, I have been thinking about Gromov-Witten invariants, mirror symmetry, crepant resolutions, holomorphic anomaly equations, Hilbert schemes of points, and certain tools to study these.
My Ph.D. advisor is Hsian-Hua Tseng. Before coming to OSU, I completed my MSc thesis under the supervision of Sergey Finashin at Middle East Technical University. During this period, I worked on symplectic topology.
Publications and Preprints
Higher genus Gromov-Witten invariants of C^n/Z_n II : Crepant resolution correspondence, 51 pages, (with Hsian-Hua Tseng [arXiv])
On Hilb/Sym correspondence for K3 surfaces, 9 pages, (with Hsian-Hua Tseng [arXiv])
Higher genus Gromov-Witten invariants of C^n/Z_n I : Holomorphic anomaly equations, 53 pages, (with Hsian-Hua Tseng [arXiv])
Holomorphic anomaly equations for C^5/Z_5 , with Hsian-Hua Tseng, To appear in the Proceeding of The Memorial Conference for Bumsig Kim, 16 pages, [arXiv]
Lagrangian perturbations of Lagrangian nodal spheres in C^2, M.Sc. Thesis, METU, 2018
You can find a recording of a talk I gave on my preprints 1 and 3: Higher Genus Gromov-Witten Theory of C^n/Z_n
I am a winner of The 2020 First Year Teaching Award and The 2021 Phil Huneke Distinguished Teaching Associate Award given by the OSU Department of Mathematics. The first award is given to 3-4 TAs who showed excellent teaching performance in their first year of teaching. On average, 25 TAs are in their first year of teaching at the department. The latter award is more competitive. There are over 100 TAs in the department; only 3 TAs receive this annual award.
I was a teaching assistant for the following courses:
Teaching at The Ohio State University (OSU)