Research
My research interests are in Geometric Topology and Geometric Group Theory. Copies of my research statement and curriculum vitae can be found by clicking the links below.
My research interests are in Geometric Topology and Geometric Group Theory. Copies of my research statement and curriculum vitae can be found by clicking the links below.
Collapsibility and Z-Compactifications of CAT(0) Cube Complexes (Dissertation, 2023) Link
A Generalized Theory of Expansions and Collapses with Applications to Z-Compactification (Contemporary Mathematics, 2025) Link
with Craig R. Guilbault
On the Girth of Groups Acting on CAT(0) Cube Complexes (Algebraic and Geometric Topology, 2026) Link
with Arka Banerjee, Pratyush Mishra, and Prayagdeep Parija
Boundary Dynamics, Cubical Actions, and Infinite Girth (Preprint, 2026) Link
with Tattwamasi Amrutam, Arka Banerjee, and Pratyush Mishra
The Cubical Boundary (In Preparation)
Arborescence of CAT(0) Cube Complexes (In Preparation)
Cubical Collapses and Compactification of Locally Finite CAT(0) Cube Complexes 39th Annual (online) Workshop in Geometric Topology
Imagining Reality with different Counting Bases (Faculty Lecture Series, Adams State University)