Weighted Ehrhart theory: Extending Stanley's nonnegativity theorem (with Robert Davis, Jesús A. de Loera, Alexey Garber, Sofía Garzón Mora, Katharina Jochemko, and Josephine Yu), Advances in Mathematics, Volume 444 (2024). doi.org/10.1016/j.aim.2024.109627
Local h*-polynomials for one-row Hermite normal form simplices (with Benjamin Braun, Giulia Codenotti, Johannes Hofscheier, and Andrés R. Vindas Meléndez), submitted.
q-Chromatic polynomials (with Matthias Beck and Andrés R. Vindas Meléndez), arXiv:2403.19573.
Talks
Ehrhart theory and graph colorings. AMS Spring Western Sectional Meeting at San Francisco State University, May 2024. [slides]
Weighted Ehrhart theories. UCSD combinatorics seminar, October 2023. [slides]
Weighted Ehrhart theories. San Diego State University, October 2023. [slides]
Weighted Ehrhart theories. The UC Berkeley combinatorics seminar, September 2023. [slides]
q-analog chromatic polynomials. Discrete Geometry seminar at Freie Universität Berlin, June 2023.
q-analog chromatic polynomials. Combinatorics seminar at KTH Royal Institute of Technology, May 2023.
Boundary h*-polynomials of rational polytopes. SF State Algebra, Geometry, and Combinatorics seminar, October 2022.
Boundary h*-polynomials of rational polytopes. The UC Berkeley combinatorics seminar, September 2022.
Symmetric decompositions. Ehrhart polynomials: inequalities and extremal constructions workshop at the American Institute of Mathematics, May 2022.
Activities
I spent the summer of 2023 with the Discrete Geometry Group at Freie Universität Berlin.
In the spring of 2021, I co-organized the Talking about Combinatorial Objects Seminar (TACOS) at UC Berkeley with Max Hlavacek. The topic was Ehrhart theory.
I passed my Qualifying Exam in the spring of 2021. Here is my syllabus.