Publications
34. [ArXiv] A note on zero density results implying large value estimates for Dirichlet polynomials
(with K. Matomäki)
33. [ArXiv] Primes in arithmetic progressions and short intervals without L-functions.
(with K. Matomäki and J. Merikoski)
32. [ArXiv] Pointwise convergence of ergodic averages with Möbius weight.
31. [ArXiv] On the local Fourier uniformity problem for small sets.
(with A. Kanigowski, M. Lemańczyk and F. K. Richter)
30. [ArXiv] [Slides] On Elliott's conjecture and applications.
(with O. Klurman and A. P. Mangerel)
29. [ArXiv] On a Bohr set analogue of Chowla's conjecture.
(with A. Walker)
28. [Journal] [ArXiv] Gaussian almost primes in almost all narrow sectors.
(with O. Järviniemi)
To appear in Rev. Mat. Iberoam.
27. [Journal] [ArXiv] [Slides] Products of primes in arithmetic progressions.
(with K. Matomäki)
To appear in J. Reine Angew. Math.
26. [ArXiv] [Slides] Bateman—Horn, polynomial Chowla and the Hasse principle with probability 1.
(with T. Browning and E. Sofos)
25. [ArXiv] [Slides] The exceptional set in Goldbach's problem with almost twin primes.
(with L. Grimmelt)
24. [Journal] [ArXiv] Almost primes in almost all short intervals II
(with K. Matomäki)
Trans. Amer. Math. Soc. 376, 5433–5459, 2023.
23. [Journal] [ArXiv] Higher uniformity of arithmetic functions in short intervals I. All intervals.
(with K. Matomäki, X. Shao and T. Tao)
Forum Math. Pi. 11:e29, 97pp., 2023.
22. [Journal] [ArXiv] Almost all alternating groups are invariably generated by two elements of prime order.
Int. Math. Res. Not. IMRN (2), 997–1012, 2024.
21. [Journal] [ArXiv] Beyond the Erdős discrepancy problem in function fields.
(with O. Klurman and A. P. Mangerel)
To appear in Math. Ann.
20. [Journal] [ArXiv] [Slides] On the Hardy—Littlewood—Chowla conjecture on average.
(with J. D. Lichtman)
Forum Math. Sigma. 10:e57, 17pp., 2022.
19. [Journal] [ArXiv] [Slides] The Hardy—Littlewood—Chowla conjecture in the presence of a Siegel zero.
(with T. Tao)
J. London Math. Soc., 106(4), 3317–3378, 2022.
18. [Journal] [ArXiv] [Slides] Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions.
(with T. Tao)
To appear in J. Eur. Math. Soc.
17. [Journal] [ArXiv] A transference principle for systems of linear equations, and applications to almost twin primes.
(with P.-Y. Bienvenu and X. Shao)
Algebra & Number Theory 17(2), 497-539, 2023.
16. [Journal] [ArXiv] Singmaster's conjecture in the interior of Pascal's triangle.
(with K. Matomäki, M. Radziwiłł, X. Shao and T. Tao)
Quart. J. Math., 73(3), 1137–1177, 2022.
15. [ArXiv] [Slides] [Codes] On the Liouville function at polynomial arguments.
To appear in Amer. J. Math.
14. [Journal] [ArXiv] Composite values of shifted exponentials.
(with O. Järviniemi)
Adv. Math., 429, Paper No. 109187, 2023.
13. [Journal] [ArXiv] Correlations of multiplicative functions in function fields.
(with O. Klurman and A. P. Mangerel)
Mathematika, 69(1), 155–231, 2023.
12. [Journal] [ArXiv] [Slides] Higher uniformity of bounded multiplicative functions in short intervals on average.
(with K. Matomäki, M. Radziwiłł, T. Tao and T. Ziegler)
Ann. of Math. (2), 197 (2), 739–857 , 2023.
11. [Journal] [ArXiv] The Bombieri—Vinogradov theorem for nilsequences.
(with X. Shao)
Discrete Analysis. 2021:21, 55 pp.
10. [Journal] [ArXiv] On the Möbius function in all short intervals.
(with K. Matomäki)
J. Eur. Math. Soc., 25(4), 1207–1225, 2023.
9. [Journal] [ArXiv] Multiplicative functions that are close to their mean.
(with O. Klurman, A. P. Mangerel and C. Pohoata)
Trans. Amer. Math. Soc., 374(11), 7967–7990, 2021.
8. [Journal] [ArXiv] Multiplicative functions in short arithmetic progressions.
(with O. Klurman and A. P. Mangerel)
Proc. London Math. Soc., 127(2), 366–446, 2023.
7. [Journal] [ArXiv] [Slides] Value patterns of multiplicative functions and related sequences.
(with T. Tao)
Forum Math. Sigma 7: e33, 55pp., 2019.
6. [Journal] [ArXiv] [Slides] The structure of correlations of multiplicative functions at almost all scales,
with applications to the Chowla and Elliott conjectures.
(with T. Tao)
Algebra & Number Theory 13(9), 2103-2150, 2019.
5. [Journal] [ArXiv] [Slides] Odd order cases of the logarithmically averaged Chowla conjecture.
(with T. Tao)
J. Théor. Nombres Bordeaux, 30 (3): 997-1015, 2018.
4. [Journal] [ArXiv] [Slides] On binary correlations of multiplicative functions.
Forum Math. Sigma, 6: e10, 41, 2018.
3. [Journal] [ArXiv] [Slides] The structure of logarithmically averaged correlations of multiplicative functions,
with applications to the Chowla and Elliott conjectures.
(with. T. Tao)
Duke Math. J. , 168(11), 1977-2027, 2019.
2. [Journal] [ArXiv] [Slides] The Goldbach problem for primes that are sums of two squares plus one.
Mathematika, 64(1): 20-70, 2018.
1. [Journal] [ArXiv] [Slides] [Codes] Almost primes in almost all short intervals.
Math. Proc. Cambridge Philos. Soc., 161(2): 247-281, 2016.
Theses
[Link] Topics in multiplicative number theory. PhD thesis, University of Turku, 2018.
On comparative prime number theory. Master’s thesis, University of Helsinki, 2014.
Papers by topic
Analytic number theory: [1], [2], [8], [9], [10], [16], [23], [24], [25], [26], [27], [33]
Additive combinatorics: [7], [11], [17], [18]
Algebraic number theory/function fields/group theory: [13], [14], [21], [22], [28]
Chowla and Elliott conjectures: [3], [4], [5], [6], [12], [15], [19], [20], [29], [30]