My name is Ayush Khaitan, and I am a Hill Assistant Professor at Rutgers University, New Brunswick. I got my PhD under Jeffrey Case at Penn State University. Here is a CV.
Email: ayush.khaitan@rutgers.edu
My research is in conformal geometry, problems in geometry and combinatorics, as well as AI4Math. In particular, I am working on problems in combinatorics with Bhargav Narayanan and Ishan Mata, as well as running a research group with undergraduate students on using LLMs for Mathematics. We are currently trying to generalize the Alphageometry and Funsearch technologies to other fields of Mathematics. Check out our research group on LLMs and Mathematics to know more.
Here is a chatbot created by Mehaer Chhabda and Rohan Sharma to help mathematicians generate Ricci code for Mathematica.
I also organize the LLM’s and Mathematics seminar.
The main result of my PhD was constructing fully non-linear higher analogues of Perelman’s F and W functionals, that will help study the Ricci flow in all dimensions. This result is the culmination of four papers written during my PhD.
Along with Swarat Chaudhari and Amitayush Thakur, I co-organized a panel titled “The use of AI tools to aid Mathematics research” at the Joint Mathematics Meetings, 2025 in Seattle. Here are the notes from the meeting.
I am teaching a graduate course in machine learning and developing LLMs for mathematical research this semester. The webpage for this course is this.
I am also teaching a course called Intro to Proofs. This is a course that will teach students how to write proofs in Lean.