I am an Associate Professor at the University of Southern California working on 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 Awards DMS-1907635, DMS-2002137 and CAREER DMS-2048055.

More details can be found in my CV (last updated 8/2016).


Papers

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, Geom. Topol. 24 (2020), no. 5, 2547-2602. ArXiv link: 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, Cyclic homology, S^1-equivariant Floer cohomology, and Calabi-Yau structures, to appear in Geom. Topol. (2021), 84 pages, arXiv:1912.13510.

S. Ganatra, K. Siegel, On the embedding complexity of Liouville manifolds, to appear in J. Differ. Geom. (2021), 52 pages, arXiv:2012.04627.

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, Categorical non-properness in wrapped Floer theory, preprint (2021), 19 pages, arXiv:2104.06516.

Teaching

Other Links