Alan Li

Alan Li

PhD Student, Computer Science
The University of Texas at Austin

About

I am a second-year PhD student in Computer Science at UT Austin, advised by Swarat Chaudhuri. I am broadly interested in the application of AI to mathematics.

One project I am currently excited about uses AI to improve the best known bounds on the Grothendieck constant, which is fundamental to areas such as functional analysis, combinatorial optimization, and theoretical computer science (see our recent preprint). In this project, we have been exploring how AI can collaborate with human mathematicians on long-horizon open research problems.

Please feel free to reach out if you'd like to talk about any of this!

News

Publications

Long-Horizon AI Research for Grothendieck Constant: A Case Study in Human-AI Mathematical Collaboration

Alan Li*, Rahul Saha*, Anton Xue, Swarat Chaudhuri, Adam Klivans, Pravesh K. Kothari, Raghu Meka

arXiv preprint, 2026

arXiv

New Lower and Upper Bounds for the Grothendieck Constant

Rahul Saha*, Alan Li*, Anton Xue, Swarat Chaudhuri, Adam Klivans, Pravesh K. Kothari, Raghu Meka

arXiv preprint, 2026

arXiv

PWW-Bench: Probing Visual Mathematical Reasoning with Proofs Without Words

Sabrina Reguyal, Rahul Saha, Alan Li, Atharva Sehgal

3rd AI for Math Workshop (ICML 2026)

OpenReview ICML page

The Grothendieck Constant Is Less Than π/(2 log(1+√2)) − 10⁻⁵

Alan Li, Rahul Saha, Anton Xue, Swarat Chaudhuri, Adam Klivans, Pravesh K. Kothari, Raghu Meka

arXiv preprint, 2026

arXiv

The Planar Turán Number of {K₄, C₅} and {K₄, C₆}

Ervin Győri, Alan Li, Runtian Zhou

Graphs and Combinatorics, 2024

Journal arXiv

The Planar Turán Number of the Seven-Cycle

Ervin Győri, Alan Li, Runtian Zhou

arXiv preprint, 2023

arXiv

* Equal contribution.