Publication List.
2024.
- The eighth moment of the Riemann zeta function, (with Nathan Ng and Quanli Shen), accepted for publication by Journal of the European Mathematical Society. [arXiv]
- Cyclicity and exponent of elliptic curves modulo p in arithmetic progressions, Quarterly Journal of Mathematics 75 (2024), 757-777. [pdf][arXiv][doi]
- Shifted moments of the Riemann zeta function, (with Nathan Ng and Quanli Shen), Canadian Journal of Mathematics 76 (2024), 1556-1586. [arXiv][doi]
- Fourier coefficients of automorphic L-functions over primes in ray classes, (with Amir Akbary), Journal of the Ramanujan Mathematical Society 39 (2024), 265-280. [pdf][arXiv][jrms]
2022.
- Refinements of strong multiplicity one for GL(2), Mathematical Research Letters 29 (2022), 559-598. [pdf][arXiv][doi]
- Primes in the Chebotarev density theorem for all number fields (with an Appendix by Andrew Fiori), (with Habiba Kadiri), Journal of Number Theory 241 (2022), 700-737. [pdf][arXiv][doi]
- On Stark's class number conjecture and the generalised Brauer-Siegel conjecture, Bulletin of the Australian Mathematical Society 106 (2022), 288-300. [pdf][doi]
- Selberg's orthogonality conjecture and symmetric power L-functions, Journal of Number Theory 238 (2022), 967-977. [pdf][doi]
- Counting zeros of the Riemann zeta function, (with Elchin Hasanalizade and Quanli Shen), Journal of Number Theory 235 (2022), 219-241. [pdf][arXiv][doi]
- Counting zeros of Dedekind zeta functions, (with Elchin Hasanalizade and Quanli Shen), Mathematics of Computation 91 (2022), 277-293. [pdf][arXiv][doi]
2021.
- Almost all primes satisfy the Atkin-Serre conjecture and are not extremal, (with Ayla Gafni and Jesse Thorner), Research in Number Theory 7 (2021). [pdf][arXiv][doi]
- On the moments of torsion points modulo primes and their applications, (with Amir Akbary), International Journal of Number Theory 17 (2021), 1029-1045. [pdf][arXiv][doi]
2020.
- Cyclicity and exponents of CM elliptic curves modulo p in short intervals, Transactions of the American Mathematical Society 373 (2020), 8725-8749. [pdf][doi]
- On Selberg's central limit theorem for Dirichlet L-functions, (with Po-Han Hsu), Journal de Théorie des Nombres de Bordeaux 32 (2020), 685-710. [pdf][jtnb]
- On generalizations of the Titchmarsh divisor problem, (with Akshaa Vatwani), Acta Arithmetica 193 (2020), 321-337. [pdf][doi]
- Bombieri-Vinogradov theorems for modular forms and applications, Mathematika 66 (2020), 200-229. [pdf][doi]
2019.
- The least prime ideal in the Chebotarev density theorem, (with Habiba Kadiri and Nathan Ng), Proceedings of the American Mathematical Society 147 (2019), 2289-2303. [pdf][arXiv][doi]
- Zeros of Dedekind zeta functions and holomorphy of Artin L-functions, Journal of the Ramanujan Mathematical Society 34 (2019), 253-261. [pdf][jrms]
- On the Chebotarev-Sato-Tate phenomenon, Journal of Number Theory 196 (2019), 272-290. [pdf][doi]
2018.
- The Chebotarev density theorem and the pair correlation conjecture, (with M. Ram Murty and V. Kumar Murty), Journal of the Ramanujan Mathematical Society 33 (2018), 399-426. [pdf][jrms]
- Supercharacters and the Chebotarev density theorem, Acta Arithmetica 185 (2018), 281-295. [pdf][doi]
- Applications of group theory to conjectures of Artin and Langlands, International Journal of Number Theory 14 (2018), 881-898. [pdf][doi]
- Base change, tensor product and the Birch-Swinnerton-Dyer conjecture, Journal of the Ramanujan Mathematical Society 33 (2018), 99-109. [pdf][jrms]
2017.
- Langlands reciprocity for certain Galois extensions, Journal of Number Theory 178 (2017), 126-145. [pdf][doi]
- Patterns of primes in Chebotarev sets, (with Akshaa Vatwani), International Journal of Number Theory 13 (2017), 1651-1677. [pdf][doi]
- A variant of Heilbronn characters, International Journal of Number Theory 13 (2017), 1547-1570. [pdf][doi]
- On critical values of twisted Artin L-functions, Czechoslovak Mathematical Journal 67 (2017), 551-555. [pdf][doi][springer]
(The pdf files above are provided for the benefit and convenience of those who may not have access to the corresponding journals. For the final “official” versions, please see the respective journals.)
PhD Thesis.
- Character theory and Artin L-functions, PhD Thesis, Queen's University, Canada, 2017. [pdf][QSpace]