I am a graduate student of Les Saper. For my thesis, I have been calculating L^{2} 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.

Office Location: | 274G Physics |

Email Address: |

**Office Hours:**- Help Room Hours: Monday 6-8pm in Carr 132

**Education:**BS Washington State University 2013

**Research Interests:****Current projects:**Some Results on Max Intersection-Complete Codes, Decomposing Vineyards with Sheaf TheoryI 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.

**Keywords:**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 (March, 2019), pp. 247-270, Springer Nature [doi]

- Cruz, J; Giusti, C; Itskov, V; Kronholm, B,