Research Interests
I study the mathematical and algorithmic foundations of machine learning and AI, drawing on optimal transport, information theory, statistics, and optimization. My current interests include:
Optimal transport theory and the Gromov-Wasserstein (GW) problem: Geometry, statistics, algorithms, and alignment of heterogeneous data.
AI mechanistic interpretability, safety, and alignment: Principled approaches for causal abstractions, information-flow analysis, and steering of neural networks, especially LLMs.
Information theory (including quantum information theory): Learning, privacy, security, and information-theoretic foundations of modern AI.
Robust statistics and decision-making: Inference and learning under local (perturbations) and global (outliers) data contamination.
My research has been supported by the NSF CAREER Award, an NSF DMS Grant, an NSF-BSF CIF Grant, and the IBM University Award.
My project, “Geometry-aware alignment for mathematical statement auto-formalization,” was selected for funding through the AI-for-Math seed grant program at Renaissance Philanthropy in October 2026.