I'm interested in: distribution of prime numbers, sieve methods, spectral methods of automorphic forms.
17. (with Grimmelt, L.) The divisor function along arithmetic progressions and binary cubic polynomials, Pre-print, 2025, https://arxiv.org/abs/2508.17979
16. (with Grimmelt, L.) On the greatest prime factor and uniform equidistribution of quadratic polynomials, Pre-print, 2025. https://arxiv.org/abs/2505.00493
15. (with Grimmelt, L.) Weighted averages of SL(2,R) automorphic kernel, Part I: non-oscillatory functions, Pre-print, 2025. https://arxiv.org/abs/2505.00489
14. On primes represented by aX^2+bY^3, Pre-print, 2025. https://arxiv.org/abs/2503.05396
13. (with Grimmelt, L.) Twisted correlations of the divisor function via discrete averages of SL2(2,R) Poincaré series , Pre-print, 2024. arxiv.org/abs/2404.08502
11. On Gaussian primes in sparse sets, Compos. Math. 2025;161(2):181-243 arxiv.org/abs/2302.11331
10. (with Matomäki, K.) Siegel zeros, twin primes, Goldbach's conjecture, and primes in short intervals, IMRN, 2023. arxiv.org/abs/2112.11412
9. The polynomials X^2+(Y^2+1)^2 and X^2+(Y^3+Z^3)^2 also capture their primes, Proc. Lond. Math. Soc., 2023. arxiv.org/abs/2112.03617
8. Exceptional characters and prime numbers in sparse sets, Algebra & Number Theory, 2023. arxiv.org/abs/2108.01355
7. On the largest prime factor of n^2+1, JEMS, 2022. arxiv.org/abs/1908.08816
6. A cubic analogue of the Friedlander-Iwaniec spin over primes, Mathematische Zeitschrift, 2021. arxiv.org/abs/2012.05675
5. On totally split primes in high-degree torsion fields of elliptic curves, IMRN, 2020. arxiv.org/abs/2009.13119
4. On the largest square divisor of shifted primes, Acta Arithmetica, 2020. arxiv.org/abs/1907.02246
3. Limit points of normalized prime gaps, J. Lond. Math. Soc., 2020. arxiv.org/abs/1811.03008
2. Large prime factors on short intervals, Math. Proc. Cambridge Philos. Soc., 2020. arxiv.org/abs/1805.05123
1. (with Hytönen, T.) Vector-valued local approximation spaces, J. Fourier Anal. Appl., 2019 arxiv.org/abs/1612.09502