Writing
- Properties of the Alternative Circular Unitary Ensemble (in preparation, see slides)
- Extreme values of the argument of the Riemann zeta function, Mathematika 70 (2024) (arXiv)
- A proof of Newman’s Conjecture for the extended Selberg class, Acta Arithmetica 201 (2021) (arXiv)
- The results of this paper are featured in Chapter 5 of Equivalents of the Riemann Hypothesis, Volume 3 by Kevin Broughan. The cover image is also related to the proof.
- PhD Thesis: Zeros of Riemann zeta-type functions (link)
Here are some notes I’ve written on various topics. I plan to post more in the future.
- Classification of Wilf equivalences for length 8 singleton patterns.
- Keeping track of left and right actions
- Poisson summation vis-á-vis Euler-Maclaurin summation
- The Burgess bound
Teaching
In 2023 I received the Frederick Gehring Outstanding Postdoctoral Teaching Award at the University of Michigan. I’ve taught the following classes recently.
- Math 551 (Measure Theory)
- Math 217 (Linear Algebra)
- Math 354 (Fourier Analysis with Applications)
- Math 115 (Calculus I)