News

• Sep 2026

  Gave a minisymposium talk on in-context operator learning for stochastic mean-field control at the SIAM Great Lakes Section Annual Meeting at Purdue.

• Aug 2026

  New preprint with Mo Zhou and Rongjie Lai: Self-supervised In-context Operator Learning for Stochastic Mean-Field Control.

• Aug 2026

  Became Vice President of the Purdue SIAM Student Chapter, after two years as Secretary, and a Mathematics Graduate Student Representative.

• Jul 2026

  New preprint with S. D. Sikka, Z. Lu, R. Lai and S. Mou: Neural Operator Learning for Collision-Aware Trajectory Planning of Spacecraft Swarms.

About

I'm a Ph.D. student in Applied Mathematics at Purdue University, advised by Prof. Rongjie Lai. I work on scientific machine learning: training neural networks that learn solution operators, so that one model solves a whole family of control and transport problems instead of one instance at a time.

Recently I've developed a self-supervised, in-context operator learner for stochastic mean-field control, and a neural operator that plans collision-free trajectories for swarms of up to 1,000 spacecraft. Both models train on the control objective itself, with no precomputed solutions. I'm also combining diffusion models with classical optimization to recover point configurations from incomplete or noisy data.

Before Purdue, I spent a year in the Ph.D. program at Rensselaer Polytechnic Institute, and earned a B.A. in Mathematics and Physics from McDaniel College, where my undergraduate research was on analysis on the 2-nacci fractal, a variation of the Fibonacci word fractal. I currently serve as Vice President of Purdue's SIAM Student Chapter and as a mathematics graduate student representative.

Research interests

• Scientific machine learning
• Operator learning
• In-context learning
• Mean-field control
• Optimal transport
• Schrödinger bridges
• Diffusion models
• Normalizing flows
• Euclidean distance geometry

Publications & Preprints

1. [1]
   Self-supervised In-context Operator Learning for Stochastic Mean-Field Control

   Suyi Gao, Mo Zhou, Rongjie Lai

   arXiv preprint arXiv:2608.18282, 2026

   arXiv PDF Details
2. [2]
   Neural Operator Learning for Collision-Aware Trajectory Planning of Spacecraft Swarms

   Sidhdharth D. Sikka, Suyi Gao, Zehui Lu, Rongjie Lai, Shaoshuai Mou

   arXiv preprint arXiv:2608.00320, 2026

   arXiv PDF Details

Demos