Publications and preprints (in reverse chronological order of writing)
- Non-vanishing for cubic Hecke L-functions (with C. David, A. de Faveri , and J. Stucky), Submitted [arxiv] 90pp.
- Metaplectic cusp forms and the large sieve, to appear in Algebra & Number Theory [arxiv] 61 pp.
- 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), Ann. of Math. (2) 200 (2024), no. 3, 967–1057. [arxiv] 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), to appear in J. Eur. Math. Soc. (JEMS), [arxiv] 61pp.
- 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) Q.J. Math. 70 (2019), no. 1, 319-342. [arxiv]
- Uniform estimates for sums of Kloosterman sums of half integral weight. Res. Number Theory 4 (2018), no. 4, Art. 45, 21 pp. [arxiv]
- Polynomial partition asymptotics (with N.Robles) J. Math. Anal. Appl. 459 (2018), no. 1 , 359-384. [arxiv]
MPhil thesis
- Nahm's conjecture in the Cartan case, School of Mathematics and Physics, University of Queensland. [thesis]
