Motivic homotopy theory
Extending cohomology theories (Hochschild/de Rham/Elliptic) to equivariant/motivic settings. Comparing cohomology theories in equivariant motivic homotopy theory (A^1 invariant or non-A^1 invariant).
Research
Research connecting cohomology theories, motivic and equivariant homotopy theory, and applications of AI in education and science.
Research Areas
Equivariant geometry
Moduli theory and stack theory.
AI for education and science
Exploring how large language model tools can support real-world learning, research, and scientific communication. I am particularly interested in applications that make mathematical and scientific knowledge more accessible, interactive, and useful for students, educators, and researchers.
Selected projects
2026 · Ph.D. Thesis
Motivic tom Dieck splitting for linearly reductive groups
This project studies motivic tom Dieck splitting phenomena for linearly reductive groups in equivariant motivic homotopy theory.
Working projects
Working project
Algebraic elliptic cohomology
A developing project on algebraic approaches to elliptic cohomology and their connections with motivic and equivariant geometry.