Ashvin A. Swaminathan

Ashvin A. Swaminathan

NSF Postdoctoral Fellow & Benjamin Peirce Fellow
Department of Mathematics, Harvard University
Advisor: Melanie Matchett Wood

My research interests are in number theory and algebraic geometry; more specifically, arithmetic statistics, invariant theory, the Cohen-Lenstra heuristics, rational points on varieties, Diophantine equations, and enumerative geometry.

You can reach me at: swaminathan@math.harvard.edu

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Ashvin Swaminathan

About Me

I received my AB in mathematics from Harvard College, with a senior thesis supervised by Joe Harris and Anand Patel, as well as an AM in Physics. I completed my MA and PhD in mathematics at Princeton University under the supervision of Manjul Bhargava.

In Fall 2025, I will be on leave from Harvard, participating as a visiting researcher in the special semester on arithmetic statistics at the new Lodha Mathematical Sciences Institute in Mumbai, India.

Outside of mathematics, I love animals and volunteer at Broken Tail Animal Rescue. If you are interested in adopting an animal, please check out their website!

Recent Highlights

  • New preprint: "The second moment of the size of the 2-class group of monogenized cubic fields" (with M. Bhargava and A. Shankar), [arXiv]
  • Award: Hoopes Prize for Senior Thesis Advising, 2025.
  • Upcoming: Invited speaker, "Online Number Theory Seminar," September 2025.