Writings

Research

[1] M.M., Samantha Jarvis, Nelson Niu, Angeline Aguinaldo, Amanda Hicks, and Ian Levitt. Formal Structures in Systems Ontology towards Air Traffic Management Architectures. NASA Technical Memorandum, 2025. Report no. NASA/TM-20250010771. https://ntrs.nasa.gov/citations/20250010771

[2] On Convergence of the Lagrangian and Dynamic Deep JKO Schemes for High-Dimensional Nonlinear Wasserstein Gradient Flows. Manuscript in preparation, a draft is available upon request. For contextual information on the deep JKO scheme, see [LWL].

Other Technical Works

Clarifying The Tangent Space. (PDF)

Algebraic Topology Solutions. (PDF)
Five documents summing over thirty pages expositing solutions to textbook problems in algebraic topology. The fifth such document is presented here and others are available. The explicit questions have been omitted due to their academic sensitivity.

Category Theory Solutions. (PDF) Eleven documents summing over seventy pages of detailed solutions to numerous problems in category theory and homological algebra. Again, one such document is presented here and explicit questions have been omitted due to their academic sensitivity.

A Qualitative Introduction To Lie Theory (with applications to quantum physics) (PDF)
For context, see June 2023 on the Projects page.