Research interests: Analytic number theory, additive combinatorics, ergodic theory.
Publications
Products of primes in arithmetic progressions
– Journal Fur Die Reine Und Angewandte Mathematik
(2024)
2024,
193
(doi: 10.1515/crelle-2023-0096)
Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions
– Journal of the European Mathematical Society
(2023)
27,
1321
(doi: 10.4171/jems/1404)
Gaussian almost primes in almost all narrow sectors
– Revista Matemática Iberoamericana
(2023)
40,
1293
(doi: 10.4171/rmi/1452)
Higher uniformity of arithmetic functions in short intervals I. All intervals
– Forum of Mathematics, Pi
(2023)
11,
e29
(doi: 10.1017/fmp.2023.28)
Beyond the Erdős discrepancy problem in function fields
– Mathematische Annalen
(2023)
389,
2959
(doi: 10.1007/s00208-023-02700-z)
Composite values of shifted exponentials
– Advances in Mathematics
(2023)
429,
109187
(doi: 10.1016/j.aim.2023.109187)
Multiplicative functions in short arithmetic progressions
– Proceedings of the London Mathematical Society
(2023)
127,
366
(doi: 10.1112/plms.12546)
Almost primes in almost all short intervals II
– Transactions of the American Mathematical Society
(2023)
376,
5433
(doi: 10.1090/tran/8869)
A transference principle for systems of linear equations, and applications to almost twin primes
– Algebra & Number Theory
(2023)
17,
497
(doi: 10.2140/ant.2023.17.497)
Higher uniformity of bounded multiplicative functions in short intervals on average
– Annals of Mathematics
(2023)
197,
(doi: 10.4007/annals.2023.197.2.3)
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