Research
* denotes an undergraduate student coauthor
** denotes a high school student coauthor
35. Remarks on Landau-Siegel zeros (with Debmalya Basak and Alexandru Zaharescu). (arXiv)
34. Landau-Siegel zeros of Rankin-Selberg L-functions and joint Sato-Tate distributions. (arXiv)
33. New variants of arithmetic quantum ergodicity (with Peter Humphries). (arXiv)
32. A new zero-free region for Rankin-Selberg L-functions (with Gergely Harcos). (arXiv)
31. Bounds for moments of l-torsion in class groups (with Peter Koymans).
Mathematische Annalen, accepted for publication (arxiv) (DOI)
30. An explicit version of Bombieri's log-free density estimate and Sárközy's theorem for shifted primes (with Asif Zaman).
Forum Mathematicum, accepted for publication (arXiv) (DOI)
29. Zeros of Rankin-Selberg L-functions in families (with Peter Humphries).
Compositio Mathematica, 160 (2024), 1041–1072. (arXiv) (DOI)
28. Highly uniform prime number theorems (with Ikuya Kaneko**).
Annales de l'Institut Fourier (Grenoble), accepted for publication (arXiv)
27. Refinements to the prime number theorem for arithmetic progressions (with Asif Zaman).
Mathematische Zeitschrift, 306 (2024), no. 3, Paper no. 54, 14 pp. (arXiv) (DOI)
26. An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin L-functions (with Robert Lemke Oliver and Asif Zaman).
Inventiones Mathematicae, 235 (2024), no. 3, 893–971. (arXiv) (DOI)
25. Short-interval sector problems for CM elliptic curves (with Apoorva Panidapu**).
Involve 16 (2023), no. 1, 1–12. (arXiv) (DOI)
24. A zero density estimate and fractional imaginary parts of zeros for GL(2) L-functions (with Olivia Beckwith, Di Liu, and Alexandru Zaharescu).
Mathematical Proceedings of the Cambridge Philosophical Society 174 (2023), no. 3, 605-630. (arXiv) (DOI)
23. A zero density estimate for Dedekind zeta functions (with Asif Zaman).
International Mathematics Research Notices (2023), no. 8, 6739–6761. (arXiv) (DOI)
22. A Bombieri-Vinogradov theorem for higher rank groups (with Yujiao Jiang, Guangshi Lü, and Zihao Wang).
International Mathematics Research Notices, (2023), no. 1, 482–535. (arXiv) (DOI)
21. Effective quantum unique ergodicity for Hecke-Maass newforms and Landau-Siegel zeros.
Quarterly Journal of Mathematics 73 (2022), no. 3, 1089–1102. (arXiv) (DOI)
20. Zeros of Rankin-Selberg L-functions at the edge of the critical strip (with Farrell Brumley and Asif Zaman).
Journal of the European Mathematical Society 24 (2022), no. 5, 1471–1541. With an appendix by by Colin Bushnell and Guy Henniart. (arXiv) (DOI)
19. Towards a GL(n) variant of the Hoheisel phenomenon (with Peter Humphries).
Transactions of the American Mathematical Society 375 (2022), no. 3, 1801–1824. (arXiv) (DOI)
18. Jensen polynomials for the Riemann xi function (with Michael Griffin, Ken Ono, Larry Rolen, Zachary Tripp, and Ian Wagner).
Advances in Mathematics 397 (2022) Paper No. 108186, 17 pp. (arXiv) (DOI)
17. The explicit Sato-Tate conjecture for primes in arithmetic progressions (with Trajan Hammonds*, Casimir Kothari*, Noah Luntzlara*, Steven J. Miller, and Hunter Wieman*).
International Journal of Number Theory 17 (2021) No. 8, 1905–1923. (arXiv) (DOI)
16. Almost all primes satisfy the Atkin-Serre conjecture and are not extremal (with Ayla Gafni and Peng-Jie Wong).
Research in Number Theory 7 (2021), no. 2, 31 (arXiv) (DOI)
15. Zeros of GL(2) L-functions on the critical line (with Nickolas Andersen).
Forum Mathematicum 33 (2021), no. 2, 477-491. (arXiv) (DOI)
14. Effective forms of the Sato-Tate conjecture.
Research in the Mathematical Sciences 8 (2021), no. 1, Paper No. 4, 21 pp. (arXiv) (DOI)
13. An unconditional GL(n) large sieve (with Asif Zaman).
Advances in Mathematics 378 (2021), 107529, 24 pp. (arXiv) (DOI)
12. Effective log-free zero density estimates for automorphic L-functions and the Sato-Tate conjecture (with Robert J. Lemke Oliver).
International Mathematical Research Notices (2019), no. 22, 6988–7036. (arXiv) (DOI)
11. Bounded gaps between primes in multidimensional Hecke equidistribution problems.
Mathematical Research Letters 26 (2019), no. 3, 875–901. (arXiv) (DOI)
10. A unified and improved Chebotarev density theorem (with Asif Zaman).
Algebra Number Theory 13 (2019), no. 5, 1039–1068. (arXiv) (DOI)
9. Weak subconvexity without a Ramanujan hypothesis (with Kannan Soundararajan).
Duke Mathematical Journal 168 (2019), no. 7, 1231–1268. Appendix by Farrell Brumley. (arXiv) (DOI)
8. A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures (with Asif Zaman).
International Mathematical Research Notices (2018), no. 16, 4991–5027. (arXiv) (DOI)
7. Special values of motivic L-Functions and zeta-polynomials for symmetric powers of elliptic curves (with Steffen Löbrich and Wenjun Ma).
Research in the Mathematical Sciences 4 (2017), Paper No. 26, 16 pp. (arXiv) (DOI)
6. 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. (arXiv) (DOI)
5. The explicit Sato-Tate conjecture and densities pertaining to Lehmer-type questions (with Jeremy Rouse).
Transactions of the American Mathematical Society 369 (2017), no. 5, 3575–3604. (arXiv) (DOI)
4. A variant of the Bombieri-Vinogradov theorem in short intervals and some questions of Serre.
Mathematical Proceedings of the Cambridge Philosophical Society 161 (2016), no. 1, 53–63. (arXiv) (DOI)
3. Benford’s law for coefficients of newforms (with Marie Jameson and Lynnelle Ye).
International Journal of Number Theory 12 (2016), no. 2, 483–494. (arXiv) (DOI)
2. Bounded gaps between primes in Chebotarev sets.
Research in the Mathematical Sciences 1 (2014), Art. 4, 16 pp. (arXiv) (DOI)
1. The error term in the Sato-Tate Conjecture.
Archiv der Mathematik (Basel) 103 (2014), no. 2, 147–156. (arXiv) (DOI)