S. Ganatra, M. Maydanskiy, Legendrian Surgery Formulae and P. Seidel's Conjecture, appendix to Bourgeois, Ekholm, and Eliashberg's Effect of Legendrian Surgery, Geometry & Topology 16 (2012), no. 1, 301-389.
Sheel Ganatra
I am a Professor and Department Chair of Mathematics at the University of Southern California.
Research
My research interests include structural aspects of Fukaya categories and Floer theory, using methods of homological algebra and non-commutative geometry, with applications to mirror symmetry and string topology.
Papers
Eliashberg, S. Ganatra, O. Lazarev, Flexible Lagrangians, International Mathematics Research Notices 2020 (2020), 2408-2435.
S. Ganatra, J. Pardon, V. Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, Publications mathématiques de l’IHÉS 131 (2020), 73-200.
M. Abouzaid, S. Ganatra, H. Iritani, N. Sheridan, The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods, Geometry & Topology 24 (2020), no. 5, 2547-2602.
S. Ganatra, D. Pomerleano, Symplectic cohomology rings of affine varieties in the topological limit, Geometric and Functional Analysis 30 (2020), no. 2, 334-456.
S. Ganatra, D. Pomerleano, A log PSS morphism with applications to Lagrangian embeddings, Journal of Topology 14 (2021), 291-368.
S. Ganatra, Cyclic homology, S^1-equivariant Floer cohomology, and Calabi-Yau structures, Geometry & Topology 27 (2023), no. 9, 3461-3584.
S. Ganatra, J. Pardon, V. Shende, Sectorial descent for wrapped Fukaya categories, Journal of the American Mathematical Society 37 (2024), 499-635.
S. Ganatra, J. Pardon, V. Shende, Microlocal Morse theory of wrapped Fukaya categories, Annals of Mathematics 199 (2024), 943-1042.
S. Ganatra, K. Siegel, On the embedding complexity of Liouville manifolds, Journal of Differential Geometry 127 (2024), no. 3, 1019-1082.
S. Ganatra, Symplectic cohomology and duality for the wrapped Fukaya category, preprint (2013), 166 pages.
S. Ganatra, T. Perutz, N. Sheridan, Mirror symmetry: from categories to curve counts, preprint (2015), 37 pages.
S. Ganatra, Automatically generating Fukaya categories and computing quantum cohomology, preprint (2019), 27 pages.
S. Ganatra, Categorical non-properness in wrapped Floer theory, preprint (2021), 19 pages.
S. Ganatra, Y. Gao, S. Venkatesh, Rabinowitz Fukaya categories and the categorical formal punctured neighborhood of infinity, preprint (2022), 82 pages.
S. Ganatra, A. Hanlon, J. Hicks, D. Pomerleano, N. Sheridan, Integrality of mirror maps and arithmetic homological mirror symmetry for Greene--Plesser mirrors, preprint (2023), 30 pages.
S. Ganatra, J. Pardon, V. Shende, Survey of covariantly functorial wrapped Floer theory on Liouville sectors, Submitted to Proceedings of the International Congress of Basic Science 2024 (2024).
S. Ganatra, A. Hanlon, J. Hicks, D. Pomerleano, N. Sheridan, Homological mirror symmetry for Batyrev mirror pairs, preprint (2024), 86 pages.
M. Ballard, C. Berkesch, M. Brown, D. Erman, D. Favero, S. Ganatra, A. Hanlon, L. Heller, J. Huang, King’s conjecture and birational geometry, preprint (2025), 54 pages.
S. Ganatra, N. Sheridan, The cyclic open-closed map and variations of Hodge structures, preprint (2025), 46 pages.