Research Interests for Joshua Cruz
Research Interests:
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 IntersectionComplete Codes
 Decomposing Vineyards with Sheaf Theory
 Recent Publications
 Cruz, J; Giusti, C; Itskov, V; Kronholm, B, On Open and Closed Convex Codes,
Discrete & Computational Geometry, vol. 61 no. 2
(March, 2019),
pp. 247270, Springer Nature [doi]
