Papers

Preprints

  1. A constructive approach to Zauner’s conjecture via the Stark conjectures (with Marcus Appleby and Steven T. Flammia), arXiv:2501.03970. Preprint, 2025. Submitted.
  2. The Shintani–Faddeev modular cocycle: Stark units from q-Pochhammer ratios, arXiv:2411.06763. Preprint, 2024. Submitted.
  3. SIC-POVMs and orders of real quadratic fields (with Jeffrey C. Lagarias), arXiv:2407.08048. Preprint, 2024. Submitted.
  4. Ray class monoids for orders of number fields (with Jeffrey C. Lagarias). Currently available as Appendix A, 2022.

Peer-reviewed research articles

  1. Ray class groups and ray class fields for orders of number fields (with Jeffrey C. Lagarias). Essential Number Theory, 4(1): 1–65, 2025.
  2. On 2-superirreducible polynomials over finite fields (with Jonathan W. Bober, Lara Du, Dan Fretwell, and Trevor D. Wooley). Indagationes Mathematicae, 36(3): 753–763, 2025.
  3. A Kronecker limit formula for indefinite zeta functions. Research in the Mathematical Sciences, 10(24):1–22, 2023.
  4. Indefinite zeta functions. Research in the Mathematical Sciences, 8(17):1–34, 2021.
  5. SIC-POVMs and the Stark conjectures. International Mathematics Research Notices, 2021(18):13812–13838, 2021.
  6. 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.
  7. The arithmetic geometry of resonant Rossby wave triads. SIAM Journal on Applied Algebra and Geometry, 1(1):352–373, 2017.
  8. 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.
  9. Robust coin flipping (with John D. Wiltshire-Gordon). In Advances in Cryptology—EUROCRYPT 2012, pp. 172–194. Springer Berlin Heidelberg, 2012.
  10. 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

Dissertation

Papers not intended for publication