Research interests: Analytic number theory, additive combinatorics, ergodic theory.
Publications
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)
Almost All Alternating Groups are Invariably Generated by Two Elements of Prime Order
– International Mathematics Research Notices
(2023)
2024,
997
(doi: 10.1093/imrn/rnac354)
Correlations of multiplicative functions in function fields
– Mathematika
(2022)
69,
155
(doi: 10.1112/mtk.12181)
On the Hardy–Littlewood–Chowla conjecture on average
– Forum of Mathematics, Sigma
(2022)
10,
e57
(doi: 10.1017/fms.2022.54)
The Hardy–Littlewood–Chowla conjecture in the presence of a Siegel zero
– Journal of the London Mathematical Society
(2022)
106,
3317
(doi: 10.1112/jlms.12663)
Singmaster’s Conjecture In The Interior Of Pascal’s Triangle
– The Quarterly Journal of Mathematics
(2022)
73,
1137
(doi: 10.1093/qmath/haac006)
On the Möbius function in all short intervals
– Journal of the European Mathematical Society
(2022)
25,
1207
(doi: 10.4171/jems/1205)
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