Research

My research interests lie in geometric group theory and its connections to combinatorics. I study right-angled Artin groups and their subgroups, particularly Bestvina--Brady groups. I have been working on Bieri--Neumann--Strebel invariants, Dehn functions, JSJ-decompositions, and thinking about Morse boundaries. In addition, I have been trying to relate Bestvina--Brady groups to graph theory and matroid theory. 

Papers

1. A graphical description of the BNS-invariants of Bestvina─Brady groups and the RAAG recognition problem, with Lorenzo Ruffoni
   To appear in Groups, Geometry, and Dynamics  [arXiv]

2. 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]

3. Identifying Dehn functions of Bestvina─Brady groups from their defining graphs
   Geometriae Dedicata, 214, 211-239 (2021)  [arXiv] [Journal]  

Preprints

4. A note on the splittings of finitely presented Bestvina─Brady groups, in preparation

Unpublished manuscripts

• Dehn Functions of Bestvina─Brady Groups, Ph.D. Thesis, 2019

Expository Writing

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