I am an independent researcher working across theoretical physics, mathematics, and computer science. I learn by auditing graduate courses and self-study, focusing on formal structures outside institutional settings.

Background

I have studied abstract algebra, differential topology, Lie theory, gauge theory, and quantum field theory. I work primarily with Rust, Lean4, and Haskell.

Current Research

I am exploring how geometric structures from gauge theory and condensed matter physics can be applied to semantic representation spaces in natural language processing.

The approach models semantic manifolds as fiber bundles, where meaning-preserving transformations correspond to local gauge symmetries. I investigate whether topological invariants—structures that remain stable under continuous deformations—can provide more robust characterizations of semantic relationships than standard embedding methods.

Applied Work

I am currently building a startup in mainland China to translate these theoretical frameworks into practical applications. The focus is on continual learning systems and aggressive quantization methods that preserve semantic structure under compression. We are at the angel funding stage.