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.
- 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
- Cruz, J; Giusti, C; Itskov, V; Kronholm, B, On Open and Closed Convex Codes,
Discrete & Computational Geometry, vol. 61 no. 2
pp. 247-270, Springer Nature [doi]