Primary: Computational Topology, Random Graph Theory, Random Sequences, and Combinatorics.
Secondary: Probability, Knot Theory, Number Theory, other areas of Algebraic Topology
Random gap processes and asymptotically complete sequences (with S. Mkrtchyan and J. Pakianathan) Journal of Theoretical Probability, (2021).
Unimodality of the Expectation of Betti Numbers for Bernoulli Random Quota Complexes, (2020) Submitted.
An Equation Error Approach for the Elasticity Imaging Inverse Problem of Tumor Identification (listed as E. Crossen, with M. S. Gockenbach, B. Jadamba, A. A. Khan, B. Winkler) Computers and Mathematics with Applications 67 (2014) 122–135.