Zachary Munro

activity

20172025

collaborators

4 papers

math.GR2025

Strict C(6) complexes

Zachary Munro, Daniel T. Wise

We define strict C(n) small-cancellation complexes, intermediate to C(n) and C(n+1), and we prove groups acting properly cocompactly on a simply-connected strict C(6) complex are h…

math.GR2024

On residual finiteness of graphs of free groups with cyclic edge groups

Adrien Abgrall, Zachary Munro

We characterize which groups splitting as finite graphs of free groups with cyclic edge groups are residually finite. Such a group $G$ is residually finite if and only if all its B…

math.GR2022

Random Group Actions on $CAT (0)$ Square Complexes

Zachary Munro

We generalize ideas of Jahncke from trees to square complexes. We introduce the notion of progression in $CAT (0)$ square complexes. Using progression, we are able to build…

math.AP2017

A Differential Harnack Inequality for the Newell-Whitehead Equation

Derek Booth, Jack Burkart, Xiaodong Cao +4

This paper will develop a Li-Yau-Hamilton type differential Harnack estimate for positive solutions to the Newell-Whitehead equation on $R^{n}$ . We then use our LYH-differen…

Strict C(6) complexes

On residual finiteness of graphs of free groups with cyclic edge groups

Random Group Actions on CAT(0) Square Complexes

A Differential Harnack Inequality for the Newell-Whitehead Equation

Random Group Actions on $CAT (0)$ Square Complexes