35 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
4 papers
MVF Designer: Design and Visualization of Morse Vector Fields
Youjia Zhou, Janis Lazovskis, Michael J. Catanzaro +2
Vector field design on surfaces was originally motivated by applications in graphics such as texture synthesis and rendering. In this paper, we consider the idea of vector field de…
Moduli Spaces of Morse Functions for Persistence
Michael J. Catanzaro, Justin Curry, Brittany Terese Fasy +5
We consider different notions of equivalence for Morse functions on the sphere in the context of persistent homology, and introduce new invariants to study these equivalence classe…
A Random Bockstein Operator
Matthew Zabka
As more of topology's tools become popular in analyzing high dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even mo…
Asymptotic structure in substitution tiling spaces
Marcy Barge, Carl Olimb
Every sufficiently regular space of tilings of has at least one pair of distinct tilings that are asymptotic under translation in all the directions of some open -dim…