Jonathan Delgado
PhD Candidate in Pure Mathematics · University of California, Irvine
I work in differential geometry with a focus on gauge theory. I study how additional structure, such as a closed 2-form or a coupled field, changes gauge-theoretic equations, and whether the resulting moduli spaces detect that structure. More broadly, I am interested in questions of compactness, regularity, and degeneration of these moduli spaces. My current work is on the cone Yang-Mills functional, which twists the curvature and Higgs field by a closed 2-form.
I am also passionate about interdisciplinary work. My projects include bounding the resolvent degree of finite simple groups, finite-time typicality in stochastic thermodynamics, and machine-learning inference of black hole observables.
You can always reach me at
Selected Papers
All research →Selected Writings
All writings →Expository notes, written to fill gaps in the standard references. Each is typeset in LaTeX and available as a web page or a PDF.
About
I grew up in Massachusetts in a Colombian-Cuban family, speaking English and Spanish. Alongside mathematics I write software (for research and for fun). Everything I write is open source on GitHub. That includes STP, a Python library for stochastic thermodynamics; MakeProject, a project generator driven by YAML templates; and FinderSessionManager, a tab manager for macOS Finder.
I am always happy to talk about mathematics or programming to collaborate, or just to talk. Reach me at