My primary research interests lie in combinatorial commutative algerba and algebraic combinatorics, including minimal free resolutions, Lefschetz properties, matroids, Schubert calculus and Lorentzian polynomials.
3. Shellability of the quotient order on lattice path matroids (with C. Benedetti-Velasquez, A. Dochtermann and K. Knauer), arXiv preprint, submitted.
2. Log-concavity of polynomials arising from equivariant cohomology (with Y. Cid-Ruiz and J. Matherne), FPSAC 2025 Proceedings, SĂ©minaire Lotharingien de Combinatoire 93B (2025) Art. 68, 12 pp.
1. Minimal resolutions of lattice ideals (with E. Miller and E. Ordog), Journal of Pure and Applied Algebra 229.3 (2025): 107901.
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.