I am an Assistant Professor at the University of Southern California.
From 2012-2016 I was first a Szegö Assistant Professor and then an NSF postdoctoral fellow at Stanford University. I was a member at the IAS in Fall 2016. I completed my Ph.D. in 2012 at MIT (including two years on exchange at U.C. Berkeley), working with Denis Auroux.
More details can be found in my CV (last updated 8/2016).
I'm interested in symplectic topology. Much of my recent work concerns 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. I gratefully acknowledge the support of the National Science Foundation through Award DMS-1907635.
S. Ganatra, M. Maydanskiy, Legendrian Surgery Formulae and P. Seidel's Conjecture, appendix to Bourgeois, Ekholm, and Eliashberg's Effect of Legendrian Surgery, Geom. Topol. 16 (2012), no. 1, 301-389. ArXiv link: arXiv:0911.0026,
Y. Eliashberg, S. Ganatra, O. Lazarev, Flexible Lagrangians, Int. Math. Res. Not. 2020 (2020), 2408-2435. ArXiv link: arXiv:1510.01287.
S. Ganatra, J. Pardon, V. Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, Publ. Math. IHES 131 (2020), 73-200. ArXiv link: arXiv:1706.03152.
M. Abouzaid, S. Ganatra, H. Iritani, N. Sheridan, The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods, to appear in Geom. Topol. (2019), 31 pages, arXiv:1809.02177.
S. Ganatra, D. Pomerleano, Symplectic cohomology rings of affine varieties in the topological limit, GAFA 30 (2020), no. 2, 334-456. ArXiv link: arXiv:1811.03609.
S. Ganatra, D. Pomerleano, A log PSS morphism with applications to Lagrangian embeddings, J. Topol. 14 (2021), 291-368. ArXiv link: arXiv:1611.06849.
S. Ganatra, Symplectic cohomology and duality for the wrapped Fukaya category, preprint (2013), 166 pages, arXiv:1304.7312. My Ph.D. thesis. A slightly more up to date version is available here.
S. Ganatra, T. Perutz, N. Sheridan, Mirror symmetry: from categories to curve counts, preprint (2015), 37 pages, arXiv:1510.03839.
S. Ganatra, Automatically generating Fukaya categories and computing quantum cohomology, preprint (2019), 27 pages, arXiv:1605.07702.
S. Ganatra, J. Pardon, V. Shende, Sectorial descent for wrapped Fukaya categories, preprint (2019), 111 pages, arXiv:1809.03427.
S. Ganatra, J. Pardon, V. Shende, Microlocal Morse theory of wrapped Fukaya categories, preprint (2020), 84 pages, arXiv:1809.08807.
S. Ganatra, Cyclic homology, S^1-equivariant Floer cohomology, and Calabi-Yau structures, preprint (2019), 74 pages, arXiv:1912.13510.
S. Ganatra, K. Siegel, On the embedding complexity of Liouville manifolds, preprint (2020), 52 pages, arXiv:2012.04627.
S. Ganatra, Categorical non-properness in wrapped Floer theory, preprint (2021), 19 pages, arXiv:2104.06516.