Papers

Preprints

10. On 2-superirreducible polynomials over finite fields (with Jonathan W. Bober, Lara Du, Dan Fretwell, and Trevor D. Wooley), arXiv:2309.15304. Preprint, 2023. Submitted.
11. Class field theory for orders of number fields (with Jeffrey C. Lagarias), arXiv:2212.09177. Preprint, 2022. Submitted.

Peer-reviewed research articles

1. A Kronecker limit formula for indefinite zeta functions. Research in the Mathematical Sciences, 10(24):1–22, 2023.
2. Indefinite zeta functions. Research in the Mathematical Sciences, 8(17):1–34, 2021.
3. SIC-POVMs and the Stark conjectures. International Mathematics Research Notices, 2021(18):13812–13838, 2021.
4. Generating weights for the Weil representation attached to an even order cyclic quadratic module (with Luca Candelori and Cameron Franc). Journal of Number Theory, 180:474–497, 2017.
5. The arithmetic geometry of resonant Rossby wave triads. SIAM J. Appl. Algebra Geometry, 1(1):352–373, 2017.
6. The limiting spectral measure for ensembles of symmetric block circulant matrices (with Murat Koloğlu and Steven J. Miller; appendices with Frederick W. Strauch and Wentao Xiong). Journal of Theoretical Probability, 26(4): 1020–1060, 2013.
7. Robust coin flipping (with John D. Wiltshire-Gordon). In Advances in Cryptology—EUROCRYPT 2012, pp. 172–194. Springer Berlin Heidelberg, 2012.
8. On the number of summands in Zeckendorf decompositions (with Murat Koloğlu, Steven J. Miller, and Yinghui Wang). Fibonacci Quarterly, 49(2): 116–131, 2011.

Other published articles

• Rubel’s Problem: from Hayman’s List to the Chabauty Method (with Edward Crane). LMS Newsletter, 492: January 2021.

Dissertation

• Indefinite Theta Functions and Zeta Functions. Ph.D. thesis (University of Michigan), 2017.

Papers not intended for publication

• Spherical matrix ensembles (with Steven J. Miller), arXiv:1501.01848. 2015.
• Word-induced measures on compact groups (with John D. Wiltshire-Gordon), arXiv:1102.4353. 2011.