Mohan Swaminathan

I am a tenure-track Reader at the School of Mathematics, Tata Institute of Fundamental Research. Previously, I was a Szegö Assistant Professor at Stanford University (2022-2025), a graduate student at Princeton University (2017-2022) and an undergraduate at Chennai Mathematical Institute (2014-2017).

Research interests: symplectic topology, enumerative geometry

Email: mohans [at] math [dot] tifr [dot] res [dot] in

Curriculum Vitae

Papers

• (joint with Fatemeh Rezaee) An obstruction to smoothing stable maps, arXiv:2407.01845.

• Stable maps to SNC degenerations, appendix to the paper Curves on complete intersections and measures of irrationality by Nathan Chen, Benjamin Church and Junyan Zhao, arXiv:2406.12101.

• (joint with Fatemeh Rezaee) Constructing smoothings of stable maps, Advances in Mathematics 467 (2025), paper no. 110188, published version, arXiv:2309.12936.

• (joint with Amanda Hirschi) Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory, Selecta Mathematica New Series 30 (2024), no. 5, paper no. 87, published version, arXiv:2212.11797.

• (joint with Shaoyun Bai) Bifurcations of embedded curves and towards an extension of Taubes' Gromov invariant to Calabi-Yau 3-folds, Duke Mathematical Journal 173 (2024), no. 15, 2947--3057, published version, arXiv:2106.01206.

• Quantitative Gromov Compactness, arXiv:2104.11771.

• Rel-$C^\infty$ structures on Gromov-Witten moduli spaces, Journal  of  Symplectic Geometry 19 (2021), no. 2, 413--473, published version, arXiv:1910.12264.

Teaching

Stanford

• Received the Mary Sunseri and Harold Bacon Mathematics Teaching Award 2025 for "outstanding contributions in teaching", awarded by the Stanford University mathematics department.

• Math 51 (Linear Algebra, Multivariable Calculus, and Modern Applications): Winter 2023, Winter 2024 & Spring 2025.

• Math 109 (Groups and Symmetry): Autumn 2023 & Winter 2025, lecture notes.

• Math 113 (Linear Algebra and Matrix Theory): Autumn 2023, lecture notes.

• Math 144 (Introduction to Topology and Geometry): Winter 2025, lecture notes, informal review.

Princeton

• Received the Excellence in Teaching Award 2021, awarded by the Undergraduate and Graduate Student Engineering Councils, Princeton University for: MAT204 (Advanced Linear Algebra with Applications) Precept in Spring 2020.

Notes

• Virtual techniques precourse at SFT 10 workshop, Berlin, August 2023.

• Stable maps minicourse at symplectic mini-workshop, Chennai Mathematical Institute, May 2024.

• Holomorphic curves minicourse at NCM symplectic workshop, ISI Kolkata, June 2024.

• Gromov compactness at Kylerec pre-workshop, online, June 2024.

• Counting embedded curves at Kylerec, Easton WA, June 2024.

• Étale local structure of nodal curve family (a version of this appears in the Stacks project), August 2024.

• Global Kuranishi charts at Symplectothon, Big Bear Lake CA, November 2024.