Joshua Cruz

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.

Cruz, Joshua, et al. “On Open and Closed Convex Codes.” Discrete & Computational Geometry, vol. 61, no. 2, Springer Science and Business Media LLC, Mar. 2019, pp. 247–70. Crossref, doi:10.1007/s00454-018-00050-1. Full Text