Publications and preprints
- Quartic Gauss sums over primes and metaplectic theta functions (with C. David, A. Hamieh, and H.Lin), Submitted [arxiv] 35pp.
- Bias in cubic Gauss sums: Patterson's conjecture (with M.Radziwill), Submitted [arxiv] 77 pp. Quanta article IFLScience article Caltech article Illinois news
- On a problem of Hoffstein and Kontorovich, Submitted [arxiv] 24pp.
- Bilinear forms in Weyl sums for modular square roots and applications (with B.Kerr, I.E. Shparlinksi and A. Zaharescu) Adv. Math. 375 (2020). [arxiv]
- The twisted second moment of modular half integral weight L-functions (with A.Zaharescu), Submitted [arxiv] 58pp.
- Maass forms and the mock theta function f(q) (with S.Ahlgren)
Math Ann. 374 (2019), no. 3-4, 1681–1718. [arxiv]
- Sums of Kloosterman sums over primes in an arithmetic progression (with A.Zaharescu)
- Uniform estimates for sums of Kloosterman sums of half integral weight
- Polynomial partition asymptotics (with N.Robles)
- Nahm's conjecture in the Cartan case, School of Mathematics and Physics, University of Queensland. [thesis]