Research Interests for Joshua D. 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, Sheaf theory, Topology
Current projects:
Some Results on Max Intersection-Complete Codes
Decomposing Vineyards with Sheaf Theory