Research

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

  1. Minimal resolutions of lattice ideals (with Ezra Miller and Erika Ordog), arXiv preprint, submitted.
  2. Shellability of the quotient order on lattice path matroids (with C. Benedetti-Velasquez, A. Dochtermann and K. Knauer).
  3. Cycle systems, coparking functions, and h-vectors of matroids.
  4. Log-concavity of polynomials arising from equivariant cohomology (with Y. Cid-Ruiz and J. Matherne), arXiv preprint, submitted.