* denotes an undergraduate student coauthor
** denotes a high school student coauthor
41. Large sieves for GL(n) and applications (with Alexandru Pascadi). (arXiv)
40. Tatuzawa's theorem for Rankin-Selberg L-functions (with Gergely Harcos). (arXiv)
39. Exceptional zeros of GL(3) x GL(3) Rankin-Selberg L-functions. (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)