Ayush Khaitan

Associate Research Scholar, Princeton University (2026-)
Hill Assistant Professor, Rutgers University, New Brunswick (2023-2026)

If you think reinforcement learning (RL) or other AI-guided search techniques could help with a research-level mathematics problem, feel free to reach out. We’ve had some success on a small number of problems recently, and I’d be happy to discuss further.

Email: ayush.khaitan@princeton.edu

You can find my resume here.

You can access my Research and Publications pages using the tabs above.

Here is a website to help Rutgers academics, with no prior programming experience, run code using GPUs, as well as access other AI tools.

I was a co-organizer of the AI and Math seminar at Rutgers.

Events

• [Jun 10, 2026]: Recipient of the AMS-Simons Travel Grant, 2026-2028 (Geometric Analysis).
• [July 23 - 30, 2026]: Attending the International Congress of Mathematics (ICM) in Philadelphia. Supported by the ICM 2026 Early Career Travel Grant.
• [July 1, 2026]: Joining Princeton University as an Associate Research Scholar, 2026-.
• [May 11-15, 2026]: Attending the Formalization of Analysis workshop at ICERM, Providence, RI.
• [Apr 28, 2026]: “Computing renormalized curvature integrals on Poincaré–Einstein manifolds” gets published in Advances in Mathematics.
• [Apr 20, 2026]: Case, Lin, Tyrell, Yuan and I release our preprint “Local and global conformal invariants of submanifolds” (submitted).
• [Apr 4-5, 2026]: Attending the Southern California Geometric Analysis Seminar at the University of California at San Diego.
• [Apr 2, 2026]: Nominated to the editorial board of the “Journal of Mathematics and Artificial Intelligence”. Journal link.
• [Mar 28, 2026]: Speaking at the AMS Special Session on Recent Results in Geometry and Topology at the Spring Eastern Sectional Meeting at Boston College.
• [March 1,2026]: Early tester for Google DeepMind’s “AI Co-Mathematician”. See this research paper by Google DeepMind.
• [Feb 8, 2026]: Traveling to Caltech, Pasadena for a week as part of a SQuaRE grant research group with Jeffrey Case, Yueh-Ju Lin, Aaron Tyrell and Wei Yuan.
• [Jan 31, 2026]: Talk at the Kerala School of Mathematics, India (Zoom).
• [Jan 19, 2026]: Teaching a Lean-based Intro to Proofs course in Spring 2026.
• [Jan 15, 2026]: Presentation at Stanford University, CA (Zoom).
• [Jan 10, 2026]: My first solo paper in print! “Weighted ambient metric for manifolds with density” gets published in Advances in Mathematics. Journal link
• [Jan 10, 2026]: The paper “Weighted GJMS operators” gets accepted at the Journal of Geometric Analysis.
• [Dec 15, 2025]: The paper “Weighted renormalized volume coefficients” gets accepted at Differential Geometry and its Applications.
• [Dec 9 2025]: Gave a guest lecture in Dr. Abhinav Verma’s Machine Learning class at Penn State University, PA.
• [Nov 5 2025]: Spoke at the AI and Math seminar, Rutgers University, New Brunswick, NJ.
• [Oct 31 2025]: Spoke at the AI Seminar, Simon Fraser University, CA.
• [Oct 23 2025]: Spoke at the Brown University Geometric Analysis Seminar, Providence, RI.
• [Oct 15 2025]: Terence Tao highlights our AI tool on his Mastodon profile!
• [Oct 14 2025]: Vijay Ganesh and I upload our preprint “O-Forge: An LLM + Computer Algebra Framework for Asymptotic Analysis” on arXiv.
• [Oct 9 2025]: Gave a talk at the CUNY Geometric Analysis Seminar, City University of New York, NY.
• [May 17 2025]: Ishan Mata, Bhargav Narayanan and I upload our paper “Elementary symmetric polynomials under the fixed point measure” to arXiv.
• [Apr 1 2025]: Gave a talk at the Geometry and Topology seminar, University of Washington, St Louis.
• [Dec 19 2024]: Jeffrey Case, Yueh-Ju Lin, Aaron Tyrell, Wei Yuan and I upload our paper “Computing renormalized curvature integrals on Poincaré-Einstein manifolds” onto arXiv.
• [Mar 2025]: Gave a talk at the special session on geometric analysis and PDEs, AMS Eastern Sectional Meeting, Hartford, CT.
• [Jan 6 2025]: Organized a panel on AI and Math at the JMM, 2025 with Swarat Chaudhuri and Amitayush Thakur.
• [Oct 2024]: Gave a talk at the Colloquium, Rutgers University, Newark.
• [Oct 2023]: Gave a talk at the Geometric Analysis seminar, IIT Bombay.
• [Oct 2023]: Gave a talk at the Nonlinear Analysis Seminar, Rutgers University.
• [Oct 2023]: Gave a talk at the Geometry/Topology seminar, Stony Brook University.
• [Sep 2023]: Gave a talk at the Geometric Analysis Seminar, Rutgers University.
• [Feb 2023]: Gave a talk at the Geometry, Topology and Dynamical Systems seminar, University of Texas at Dallas.
• [Nov 2022]: Gave a talk at the Geometry Luncheon seminar, Penn State University.
• [Mar 2022]: Gave a talk at the Geometry, Topology and Dynamical Systems seminar, University of Texas at Dallas.