Expository Writings
• This is a note that I wrote when I learned algebraic cycles. This is extremely incomplete and I would update this file irregularly.
• This is a term paper for MATH612 (Algebraic Topology II) which gives a sheaf theoretic proof for the equivalence between singular cohomology and De Rham cohomology.
Research Papers
- Minimal resolutions of lattice ideals (with Ezra Miller and Erika Ordog), arXiv preprint, submitted.
- Shellability of the quotient order on lattice path matroids (with C. Benedetti-Velasquez, A. Dochtermann and K. Knauer).
- Cycle systems, coparking functions, and h-vectors of matroids.
- Log-concavity of polynomials arising from equivariant cohomology (with Y. Cid-Ruiz and J. Matherne), arXiv preprint, submitted.