* denotes an undergraduate student coauthor
** denotes a high school student coauthor
41. Landau-Siegel zeros of Rankin-Selberg L-functions (with Shifan Zhao). (arXiv)
40. Large sieves for GL(n) and applications (with Alexandru Pascadi). (arXiv)
39. Tatuzawa's theorem for Rankin-Selberg L-functions (with Gergely Harcos). (arXiv)
38. A new bound on the relative error in the Chebotarev density theorem (with Zhuo Zhang*).
Forum Mathematicum, accepted for publication (arXiv)
37. Zeros of L-functions in families near the critical line (with Valentin Blomer).
Transactions of the American Mathematical Society, accepted for publication (arXiv)
36. Zeros of L-functions and large sums of Dirichlet coefficients (with Bryce Kerr and Oleksiy Klurman). (arXiv)
35. Remarks on Landau-Siegel zeros (with Debmalya Basak and Alexandru Zaharescu).
Algebra and Number Theory 2026 (arXiv) (DOI)
34. Exceptional zeros of Rankin-Selberg L-functions and joint Sato-Tate distributions.
International Mathematics Research Notices 2025 (arXiv) (DOI)
33. New variants of arithmetic quantum ergodicity (with Peter Humphries).
Communications in Mathematical Physics 2025 (arXiv) (DOI)
32. Bounds for moments of l-torsion in class groups (with Peter Koymans).
Mathematische Annalen 2024 (arXiv) (DOI)
31. A new zero-free region for Rankin-Selberg L-functions (with Gergely Harcos).
Journal für die reine und angewandte Mathematik (Crelle's Journal) 2025 (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 2024 (arXiv) (DOI)
29. Highly uniform prime number theorems (with Ikuya Kaneko**).
Annales de l'Institut Fourier (Grenoble) 2025 (arXiv) (DOI)
28. Effective quantum unique ergodicity for Hecke-Maass newforms and Landau-Siegel zeros.
Quarterly Journal of Mathematics 2022 (arXiv) (DOI)
27. Refinements to the prime number theorem for arithmetic progressions (with Asif Zaman).
Mathematische Zeitschrift 2024 (arXiv) (DOI)
26. Short-interval sector problems for CM elliptic curves (with Apoorva Panidapu**).
Involve 2023 (arXiv) (DOI)
25. A Bombieri-Vinogradov theorem for higher rank groups (with Yujiao Jiang, Guangshi Lü, and Zihao Wang).
International Mathematics Research Notices 2023 (arXiv) (DOI)
24. Zeros of Rankin-Selberg L-functions in families (with Peter Humphries).
Compositio Mathematica 2024 (arXiv) (DOI)
23. 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 2023 (arXiv) (DOI)
22. An approximate form of Artin's holomorphy conjecture and non-vanishing of Artin L-functions (with Robert Lemke Oliver and Asif Zaman).
Inventiones Mathematicae 2024 (arXiv) (DOI)
21. Towards a GL(n) variant of the Hoheisel phenomenon (with Peter Humphries).
Transactions of the American Mathematical Society 2022 (arXiv) (DOI)
20. Zeros of GL(2) L-functions on the critical line (with Nickolas Andersen).
Forum Mathematicum 2021 (arXiv) (DOI)
19. Almost all primes satisfy the Atkin-Serre conjecture and are not extremal (with Ayla Gafni and Peng-Jie Wong).
Research in Number Theory 2021 (arXiv) (DOI)
18. Effective forms of the Sato-Tate conjecture.
Research in the Mathematical Sciences 2021 (arXiv) (DOI)
17. Jensen polynomials for the Riemann xi function (with Michael Griffin, Ken Ono, Larry Rolen, Zachary Tripp, and Ian Wagner).
Advances in Mathematics 2022 (arXiv) (DOI)
16. A zero density estimate for Dedekind zeta functions (with Asif Zaman).
International Mathematics Research Notices 2023 (arXiv) (DOI)
15. 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 2021 (arXiv) (DOI)
14. An unconditional GL(n) large sieve (with Asif Zaman).
Advances in Mathematics 2021 (arXiv) (DOI)
13. Zeros of Rankin-Selberg L-functions at the edge of the critical strip (with Farrell Brumley and Asif Zaman; with an appendix by by Colin Bushnell and Guy Henniart).
Journal of the European Mathematical Society 2022 (arXiv) (DOI)
12. Weak subconvexity without a Ramanujan hypothesis (with Kannan Soundararajan; appendix by Farrell Brumley).
Duke Mathematical Journal 2019 (arXiv) (DOI)
11. A unified and improved Chebotarev density theorem (with Asif Zaman).
Algebra Number Theory 2019 (arXiv) (DOI)
10. A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures (with Asif Zaman).
International Mathematical Research Notices 2018 (arXiv) (DOI)
9. 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 2017 (arXiv) (DOI)
8. An explicit bound for the least prime ideal in the Chebotarev density theorem (with Asif Zaman).
Algebra Number Theory 2017 (arXiv) (DOI)
7. Bounded gaps between primes in multidimensional Hecke equidistribution problems.
Mathematical Research Letters 2019 (arXiv) (DOI)
6. 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 (arXiv) (DOI)
5. The error term in the Sato-Tate Conjecture.
Archiv der Mathematik (Basel) 2014 (arXiv) (DOI)
4. Benford’s law for coefficients of newforms (with Marie Jameson and Lynnelle Ye).
International Journal of Number Theory 2016 (arXiv) (DOI)
3. A variant of the Bombieri-Vinogradov theorem in short intervals and some questions of Serre.
Mathematical Proceedings of the Cambridge Philosophical Society 2016 (arXiv) (DOI)
2. Bounded gaps between primes in Chebotarev sets.
Research in the Mathematical Sciences 2014 (arXiv) (DOI)
1. The explicit Sato-Tate conjecture and densities pertaining to Lehmer-type questions (with Jeremy Rouse).
Transactions of the American Mathematical Society 2017 (arXiv) (DOI)