I am a first year mathematics PhD student at the University of Arizona. This website is to serve as a repository for my research, notes and blog (mathema), and links to useful resources. It will also encompass my love for ethnomathematics, computational fiber arts, and gallery of generative art (mostly p5.js or SageMath/mathplotlib).
My current interests are in:
- Microlocal analysis
- Pseudo-differential operator theory
- Arithmetic dynamics
- analytic number theory
A question I have been studying is:
What arithmetic information can be recovered from spectral data?E.g. the eigenvalues of a Laplacian on a torus being identifiable with lattice points and quadratic forms.
Preprints
| arXiv | Density of Visible Lattice Points on Hyperplanes and their Intersections | Finnley Goss and Kelly McKinnie |
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