My research interests lie in geometric group theory and its connections to combinatorics. In particular, I study Bestvina--Brady groups, right-angled Artin groups, and their interactions with graphs and matroids.
Complete classification of the Dehn functions of Bestvina─Brady groups, with Jerónimo García-Mejía and Matteo Migliorini, 2025, submitted [arXiv]
A note on the splittings of finitely presented Bestvina─Brady groups
Glasgow Mathematical Journal, Volume 67, Issue 2, May 2025, pp. 224-227 [Journal]
A graphical description of the BNS-invariants of Bestvina─Brady groups and the RAAG recognition problem, with Lorenzo Ruffoni
Groups, Geometry, and Dynamics (Published online in September 2024) [arXiv]
Abelian splittings and JSJ-decompositions of finitely presented Bestvina─Brady groups
Journal of Group Theory, vol. 26, no. 4, 2023, pp. 677-692 [arXiv] [Journal]
Identifying Dehn functions of Bestvina─Brady groups from their defining graphs
Geometriae Dedicata, 214, 211-239 (2021) [arXiv] [Journal]
Here are some expository articles that I wrote in graduate school (pdf files to be uploaded.)
Arrangement Groups
Bounded Cohomology of Discrete Groups
Serre's Property of FA
Simplicial Volume
Symplectic Representation
Torelli Groups
Virtual Haken Conjecture