Mohan Swaminathan
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
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.