This page consists of my students’ work.  Unless otherwise stated, all papers here are still works in progress and are stored here as they do not have a permanent home.

 

 

  • Daniel Rossano’s Undergraduate Thesis: This paper is a culmination of two years of work learning the basics of Topology, Homological Algebra, Applied Cech Cohomology, Category Theory, and some sheaf theoretic ideas as well.  The goal is to publish the latter section(s) of this paper where Daniel shows that computing Persistent (co)Homology with cubical neighborhoods, while computationally more efficient, is still mathematically sound.