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).

Research

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.

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. Top. 16 (2012), no. 1, 301-389. Available at arXiv:0911.0026,

Y. Eliashberg, S. Ganatra, O. Lazarev, Flexible Lagrangians, Int. Math. Res. Not., rny078, https://doi.org/10.1093/imrn/rny078 (2018). Available at arXiv:1510.01287.

S. Ganatra, J. Pardon, V. Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, to appear in Publ. Math. IHES (2019), 115 pages. Available at arXiv:1706.03152.

(My thesis, essentially subsumed by two papers below) S. Ganatra, Symplectic cohomology and duality for the wrapped Fukaya category, preprint (2013), 166 pages, arXiv:1304.7312. 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 (2016), 18 pages, arXiv:1605.07702.

S. Ganatra, D. Pomerleano, A Log PSS morphism with applications to Lagrangian embeddings, preprint (2016), 59 pages, arXiv:1611.06849.

M. Abouzaid, S. Ganatra, H. Iritani, N. Sheridan, The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods, preprint (2018), 31 pages, arXiv:1809.02177.

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 (2018), 47 pages, arXiv:1809.08807.

S. Ganatra, D. Pomerleano, Symplectic cohomology rings of affine varieties in the topological limit, preprint (2018), 96 pages, arXiv:1811.03609.

S. Ganatra, Cyclic homology, S^1-equivariant Floer cohomology, and Calabi-Yau structures, preprint (2019), 70 pages, available here.

(The first of two papers that subsumes my thesis) S. Ganatra, Symplectic integral transforms from open-closed string maps, draft, 95 pages, available here.

(The second of two papers that subsumes my thesis) S. Ganatra, Symplectic cohomology from Hochschild (co)homology, draft, 93 pages, available here.

Teaching

Other