I am a postdoc at Duke University, working under the mentorship of Sayan Mukherjee. I completed my PhD at The Ohio State University in 2016 under the advisement of Matthew Kahle, and spent a semester as a research fellow at the Institute for Experimental and Computational Research in Mathematics (ICERM), before arriving at Duke.
My research interests include topological combinatorics, combinatorial and stochastic topology, topological and geometric data analysis, and combining the names of primary areas of research to describe more specific areas of research.
PhD in Mathematics, 2016
The Ohio State University
BA in Mathematics and in Theatre, 2007
The Topology and Structure of Crystallized Polyforms. SUNY at Albany Algebra/Topology Seminar, October 2019.
Dense Random Clique Complexes. JMM Special Session on Topological Data Analysis, January 2018.
k-Collapsibility of Random Clique Complexes. IMA Applied Algebraic Topology Research Network, February 2017.
MATH/STA 230 (and 730): Probability (Spring 2017, 2018, 2019; Fall 2017, 2019)
MATH/STA 340: Advanced Introduction to Probability (Spring 2020)
MATH 371: Combinatorics (Fall 2018)
MATH 412: Topological Data Analysis (Spring 2018)
MATH 590: Topics in Applied Topology (Spring 2020)
A crystallized polyform is one with the minimal number of tiles necessary to support the number of bounded holes in the structure.