[ YouTube ]
My YouTube page features expository videos and videos on my research.[ notes ]
| Algebraic Theory of Differential Equations (Course Notes from Fall 2022) |
| Curves and Surfaces (Course Notes from Fall 2021) |
| Interpretations in IUT |
| Quick
introduction
to p-jets |
| How
units are often used to determine mathematical models (as
explained to me by Hannes Schenk) |
| Deninger
Cohomology Theories |
| Belyi's
Theorem (half of it as explained to me by Zach
Scherr) |
| Quadratic
Reciprocity
Notes from when I subbed for Danielle and didn't finish in
class |
| Model Theory notes --- Notes taken from Thomas Scanlon's course at CUNY Arithmetic Dynamics Conference in July 2010 |
| Eichler-Shimura
(weight
two) --- a crash course in modular parametrizations of
elliptic curves (for the uninitiated: this is the converse of
what Wiles proved, the easy part) |
| History
of Jet Spaces and Diophantine Geometry --- A section that
I excluded from my research statement |
| p-adic
and dyadic harmonic analysis --- CZ operators |
| Harmonic Analysis, Metric Spaces and PDES (Edited with Lucas Chaffee, Rafael Espinosa, Jarod Hart, Anna Kairema, Lyudmila Korobenko) |
| Zeros of analytic functions that don't have zeros (Szego Curves) --- Undergraduate work done with Ken McLaughlin at University of Arizona (VIGRE grant), movies |
There are some notes in the talks section too. In the links section I have links to other webpages with interesting notes.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.