Publications

18.  Effective forms of the Sato-Tate conjecture, submitted.

17.  Jensen Polynomials for the Riemann Xi Function (with Michael Griffin, Ken Ono, Larry Rolen, Zachary Tripp, and Ian Wagner).  Submitted.

16.  A zero density estimate for Dedekind zeta functions (with Asif Zaman).  Submitted.

15. The Explicit Sato-Tate Conjecture For Primes In Arithmetic Progressions (with Trajan Hammonds, Casimir Kothari, Noah Luntzlara, Steven J. Miller, and Hunter Wieman).  Submitted.

14. An unconditional GL(n) large sieve (with Asif Zaman).  Submitted.

13. Zeros of Rankin-Selberg L-functions at the edge of the critical strip (with Farrell Brumley and Asif Zaman).  Submitted.  Two appendices, the second written by Colin Bushnell and Guy Henniart.

12. Weak subconvexity without a Ramanujan hypothesis (with Kannan Soundararajan).  Duke Math. J. 168 (2019), no. 7, 1231–1268.

11. A unified and improved Chebotarev density theorem (with Asif Zaman).  Algebra Number Theory 13 (2019), no. 5, 1039–1068.

10. A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures (with Asif Zaman).  Int. Math. Res. Not. IMRN 2018, no. 16, 4991–5027.

9. Special Values of Motivic L-Functions and Zeta-Polynomials for Symmetric Powers of Elliptic Curves (with Steffen Löbrich and Wenjun Ma). Res. Math. Sci. 4 (2017), Paper No. 26, 16 pp.

8. An explicit bound for the least prime ideal in the Chebotarev density theorem (with Asif Zaman).  Algebra Number Theory 11 (2017), no. 5, 1135–1197.

7. Bounded Gaps Between Primes in Multidimensional Hecke Equidistribution Problems.  Math. Res. Lett.  26 (2019), no. 3, 875–901.

6. Effective log-free zero density estimates for automorphic L-functions and the Sato-Tate conjecture (with Robert J. Lemke Oliver). Int. Math. Res. Not. IMRN 2019, no. 22, 6988–7036.

5. The Error Term in the Sato-Tate Conjecture.  Arch. Math. (Basel)103 (2014), no. 2, 147–156.

4. Benford’s Law for Coefficients of Newforms (with Marie Jameson and Lynnelle Ye).  Int. J. Number Theory 12 (2016), no. 2, 483–494.

3. A variant of the Bombieri-Vinogradov theorem in short intervals and some questions of Serre. Math. Proc. Cambridge Philos. Soc. 161 (2016), no. 1, 53–63.

2. Bounded Gaps Between Primes in Chebotarev Sets.  Res. Math. Sci. 1 (2014), Art. 4, 16 pp.

1. The explicit Sato-Tate conjecture and densities pertaining to Lehmer-type questions (with Jeremy Rouse). Trans. Amer. Math. Soc. 369 (2017), no. 5, 3575–3604.