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.

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 Nature [doi]