Joshua Cruz, Graduate Student
I am a graduate student of Les Saper. For my thesis, I have been calculating L2 cohomology groups of incomplete metrics coming from singular complex varieties. This work is an interesting example of the interplay between analysis and topology.
I have done work in several other fields as well, including mathematical neuroscience, applied sheaf theory, and applied topology more broadly.
Please note: Joshua has left the Mathematics department at Duke University; some info here might not be up to date.
- Contact Info:
|Office Location: ||274G Physics|
|Email Address: |
- Office Hours:
- Help Room Hours: Monday 6-8pm in Carr 132
|BS||Washington State University||2013|
- Research Interests:
Some Results on Max Intersection-Complete Codes, Decomposing Vineyards with Sheaf Theory
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
- 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 Science and Business Media LLC [doi]