Research Interests for Joshua Cruz

I am a student of Les Saper, with broad interests in algebraic topology and complex geometry. I am also interested in many other fields of mathematics, including geometric analysis, functional analysis, representation theory, stochastic analysis, and applied topology, especially persistent homology.

Keywords:

Applied Topology, Probability theory and stochastic processes, Sheaf theory, Topology

Current projects:

Some Results on Max Intersection-Complete Codes

Decomposing Vineyards with Sheaf Theory

Recent Publications

1. Cruz, J; Giusti, C; Itskov, V; Kronholm, B, On Open and Closed Convex Codes, Discrete & Computational Geometry, vol. 61 no. 2 (March, 2019), pp. 247-270, Springer Science and Business Media LLC [doi]