Math Docs

Publications

Using Exact Tests from Algebraic Statistics in Sparse Multi-way Analyses: An Application to Analyzing Differential Item Functioning. With Luis David Garcia-Puente, Minho Kim, and Flavia Sancier-Barbosa. arXiv:2312.12638 (2023). Supplementary materials.
From Category \(\mathcal{O}^\infty\) to Locally Analytic Representations. With Matthias Strauch. arXiv:2011.12370 (2020). doi:10.1016/j.jalgebra.2021.09.032 (2022). Errata.
Deformations of Overconvergent Isocrystals on the Projective Line. arXiv:1710.03404 (2017). doi:10.1016/j.jnt.2019.11.013 (2022).

Other Writing

Introduction to Cryptography (2023). Interactive open source introductory text on cryptography.
Off on a Tangent (2019). Open source text about several incarnations of the derivative.
Deformations of Overconvergent Isocrystals on the Projective Line (2018). PhD Thesis. Contains more expository content than my corresponding publication with the same title.
Exponential at Infinity (2017). A fun short and explicit calculation I did during summer 2017 involving an irregular rank 1 overconvergent differential module over the Robba ring.
Fundamental Group of a Curve (2012). Expository term paper written for an algebraic geometry course.
The Euler Characteristic of the Moduli Space of Stable Maps into a Grassmannian (2011). Undergraduate thesis. Mostly expository.

From category \(\mathcal{O}^\infty\) to locally analytic representations. Notes for a talk. Two versions:
- Rennes. May 2021 at the Séminare géométrie arithmétique at the Institut de recherches mathématique de Rennes. This talk includes more background material compared to the Padova version below.
- Padova. April 2021 at the p-adic Representations and Arithmetic D-modules Seminar, organized by Andrés Sarrazola Alzate and Francesco Baldassari, at the Università degli Studi di Padova. This talk assumes some background material that had been discussed in preceding seminar talks.
Perspective: The Mathematics of Depicting Depth. Slides for a talk I gave at Colorado College’s Fearless Fridays seminar in February 2020.
A Smörgåsbord of Arithmetic Geometry. Slides for a talk I gave at Colorado College’s Fearless Fridays seminar in February 2018.
Contangent Complex. Some incomplete notes from when I was preparing for a talk I gave in David Nadler’s fall 2013 Geometric Representation Theory seminar.