I am a graduate student at Purdue University advised by Professor Uli Walther. My research interests are in commutative algebra and combinatorics, especially combinatorial commutative algebra and characteristic p methods.

Papers

1. A New Conjecture and Upper Bound on the Castelnuovo–Mumford Regularity of Binomial Edge Ideals, (preprint).

2. Koszul Binomial Edge Ideals, (with M. Mastroeni, J. McCullough, I. Peeva), (preprint).

3. Koszul Graded Möbius Algebras and Strongly Chordal Graphs (with M. Mastroeni, J. McCullough, I. Peeva), (preprint).

4. The Matrix Schubert Package for Macaulay2, (with A. Almousa, S. Gao, S. Grate, D. Huang, P. Klein, Y. Luo, J. McDonough) (submitted).

5. Combinatorics of Castelnuovo–Mumford Regularity of Binomial Edge Ideals, (submitted).

6. Invariants of Binomial Edge Ideals via Linear Programs, (submitted).

7. A Survey on Hadamard Matrices, (2016).

Teaching

• Teaching Assistant for MSRI/SLMATH Summer School 2023, Commutative Algebra and its Interaction with Algebraic Geometry

At Purdue University:

• TA Math 26100 Calculus 3 (Fall 2019, Spring 2020, Fall 2021)

• TA Math 16100 Calculus 1 (Spring 2019)

• TA Math 16600 Calculus 2 (Fall 2017)

• Math Resource Room Assistant (Fall 2022)

• Grader Math 27900 (Modern Mathematics in Science and Society) and Math 15800 (Calculus I) (Spring 2024)

• Grader Math 52700 Graduate Linear Algebra & Diff. Eqns. (Spring 2022)

• Grader Math 35100 Linear Algebra (Spring 2021)

• Grader for Math 26600 Differential Equations (Fall 2020)

Curriculum Vitae

Link to curriculum vitae.

Research Statement

Link to my research statement.