Research

Projects:

Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations
- JACT and arXiv

Gromov-Hausdorff Distance for Directed Spaces
- arXiv

Multi-domain routing in Delay-Tolerant Networks
- NASA

Toroidal Coordinates: Decorrelating Circular Coordinates with Lattice Reduction
- SoCG and arXiv

Learning on Persistence Diagrams as Radon Measures
- arXiv

Videos:

"Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations"

Applied Algebraic Topology Research Network

"Defining Persitence Diagrams for Cohomolgy of a Cofiltration Indexed over a Finite Lattice"

University of Oklahoma Topology and Data Science Seminar

"Towards a Theory of Characteristic Classes for Persistence Diagram Bundles"

Workshop on Algebraic Combinatorics and Category Theory in Topological Data Analysis

Links to more videos:

"SIR Modeling of American Chestnut Blight", at CSU's Greenslopes seminar.

My Masters Thesis:

"Defining Persistence Diagrams for Cohomology of a Cofiltration Indexed Over a Finite Lattice"

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