Visiting Assistant Professor
Department of Mathematics and Statistics
Pomona College
e-mail: mhap2023@pomona.edu
office: Estella 2339
Hi there! I am primarily interested in discrete geometry and geometric combinatorics, including topics such as volume computations and Ehrhart Theory. I love to talk about math with students, so please do not hesitate to email me!
My CV is available here.
I use they/them pronouns.
My research is centered in enumerative problems in discrete geometry, primarily enumerating integer points in polyhedra. If you are a student and would like an introduction to what this is all about, here are some slides.
My interests have also expanded to include problems in algebraic combinatorics.
Papers
- The poset of maximal tubings of the cycle graph is a lattice Ben Adenbaum, Emily Barnard, Max Hlavacek, Bryson Kagy, Nathan R. T. Lesnevich, George D. Nasr, Katie Waddle Arxiv Preprint 2025
- Polyhedral geometry of refined q,t-Catalan numbers Matthias Beck, Mitsuki Hanada, Max Hlavacek, John Lentfer, Andrés R. Vindas-Meléndez, Katie Waddle To appear in Journal of Combinatorics, 2025
- Out of the parking lot and into the forest: Parking functions, bond lattices, and unimodal forests Josephine Brooks, Susanna Fishel, Max Hlavacek, Sophie Rubenfeld, Bianca Carmelita Teves Discrete Mathematics, 2025
- Inequalities for f∗-vectors of Lattice Polytopes Matthias Beck, Danai Deligeorgaki, Max Hlavacek, Jerónimo Valencia-Porras Advances in Geometry, 2023
- Subdivisions of Shellable Complexes Max Hlavacek, Liam Solus Journal of Combinatorial Theory, Series A, 2022