Sheel Ganatra Professor and Department Chair of Mathematics, USC
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Sheel Ganatra

I am a Professor and Department Chair of Mathematics at the University of Southern California.

I gratefully acknowledge the support of the National Science Foundation through Awards CAREER DMS-2048055, FRG DMS-2412041, and RTG DMS-2446019.
More details can be found in my CV (last updated 11/2025).
Email: sheel (dot) ganatra (at) usc (dot) edu
Portrait of Sheel Ganatra

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

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.

ArXiv link: arXiv:0911.0026

Eliashberg, S. Ganatra, O. Lazarev, Flexible Lagrangians, International Mathematics Research Notices 2020 (2020), 2408-2435.

ArXiv link: arXiv:1510.01287

S. Ganatra, J. Pardon, V. Shende, Covariantly functorial wrapped Floer theory on Liouville sectors, Publications mathématiques de l’IHÉS 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, Geometry & Topology 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, Geometric and Functional Analysis 30 (2020), no. 2, 334-456.

ArXiv link: arXiv:1811.03609

S. Ganatra, D. Pomerleano, A log PSS morphism with applications to Lagrangian embeddings, Journal of Topology 14 (2021), 291-368.

ArXiv link: arXiv:1611.06849

S. Ganatra, Cyclic homology, S^1-equivariant Floer cohomology, and Calabi-Yau structures, Geometry & Topology 27 (2023), no. 9, 3461-3584.

ArXiv link: arXiv:1912.13510

S. Ganatra, J. Pardon, V. Shende, Sectorial descent for wrapped Fukaya categories, Journal of the American Mathematical Society 37 (2024), 499-635.

ArXiv link: arXiv:1809.03427

S. Ganatra, J. Pardon, V. Shende, Microlocal Morse theory of wrapped Fukaya categories, Annals of Mathematics 199 (2024), 943-1042.

ArXiv link: arXiv:1809.08807

S. Ganatra, K. Siegel, On the embedding complexity of Liouville manifolds, Journal of Differential Geometry 127 (2024), no. 3, 1019-1082.

ArXiv link: arXiv:2012.04627

S. Ganatra, Symplectic cohomology and duality for the wrapped Fukaya category, preprint (2013), 166 pages.

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 link: arXiv:1510.03839

S. Ganatra, Automatically generating Fukaya categories and computing quantum cohomology, preprint (2019), 27 pages.

ArXiv link: arXiv:1605.07702

S. Ganatra, Categorical non-properness in wrapped Floer theory, preprint (2021), 19 pages.

ArXiv link: arXiv:2104.06516

S. Ganatra, Y. Gao, S. Venkatesh, Rabinowitz Fukaya categories and the categorical formal punctured neighborhood of infinity, preprint (2022), 82 pages.

ArXiv link: arXiv:2212.14863

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.

ArXiv link: arXiv:2312.01949

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.

ArXiv link: arXiv:2406.05272

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.

ArXiv link: arXiv:2501.00130

S. Ganatra, N. Sheridan, The cyclic open-closed map and variations of Hodge structures, preprint (2025), 46 pages.

ArXiv link: arXiv:2511.04498

Teaching

  1. Math 641 (USC, Spring 2023)
  2. Math 229 (USC, Spring 2023)
  3. Math 599 (USC, Fall 2022)
  4. Math 535a (USC, Spring 2022)
  5. Math 226r (USC, Fall 2021)
  6. Math 641 (USC, Spring 2021)
  7. Math 641 (USC, Fall 2020)
  8. Math 125g (USC, Fall 2020)
  9. Math 520 (USC, Spring 2020)
  1. Math 535b (USC, Spring 2020)
  2. Math 535b (USC, Spring 2019)
  3. Math 535a (USC, Spring 2018)
  4. Math 440 (USC, Fall 2017)
  5. Math 535a (USC, Spring 2017)
  6. Math 51 (Stanford, Summer 2016)
  7. Math 257b (Stanford, Spring 2016)
  8. Math 171 (Stanford, Spring 2016)
  9. Math 51 (Stanford, Winter 2015)
  10. Math 113 (Stanford, Spring 2013)
  11. Math 215B (Stanford, Winter 2013)
  12. Math 51 (Stanford, Fall 2012)

Contact

Email: sheel (dot) ganatra (at) usc (dot) edu