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- SIC-POVMs and the Stark conjectures. To appear in International Mathematics Research Notices. Advance article available.
- Indefinite Theta Functions and Zeta Functions. Ph.D. thesis (University of Michigan), 2017.
- 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.
- The arithmetic geometry of resonant Rossby wave triads. SIAM J. Appl. Algebra Geometry, 1(1):352–373, 2017.
- 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.
- Robust coin flipping (with John D. Wiltshire-Gordon). In Advances in Cryptology—EUROCRYPT 2012, pp. 172–194. Springer Berlin Heidelberg, 2012.
- On the number of summands in Zeckendorf decompositions (with Murat Koloğlu, Steven J. Miller, and Yinghui Wang). Fibonacci Quarterly, 49(2): 116–131, 2011.
- Word-induced measures on compact groups (with John D. Wiltshire-Gordon). 2011.