Publications
Higher-dimensional moving averages and submanifold genericity
Submitted
Submanifold-genericity of R^d-actions and uniform multiplicative Diophantine approximation
Submitted
Decorrelation estimates for translated measures under diagonal flows
J. Mod. Dyn. 25 (2025), 401-441
Sums of reciprocals of fractional parts II
Preprint available
Comment: the paper is correct, I have just been very slow in resubmitting it; I apologize for any inconvenience.
A remark on the set of exactly approximable vectors in the simultaneous case
Proc. Amer. Math. Soc. 152 (2024), 3177-3182
On multiplicatively badly approximable vectors
J. Number Theory 278 (2026), 570-621 (yet to appear)
A shrinking-target problem in the space of unimodular lattices in the three dimensional Euclidean space
Sel. Math. New Ser. 30, 57 (2024)
A uniform metrical theorem in multiplicative Diophantine approximation
to appear in Forum Math., Sigma
Multiplicatively badly approximable matrices up to logarithmic factors
Math. Proc. Cambridge Philos. Soc. 172 No.3 (2022), 685-703
A note on bounded exponential sums
Bull. Lond. Math. Soc. 53 No.2 (2021), 416-425
On a counting theorem for weakly admissible lattices
Int. Math. Res. Not. 2021 No.10 (2021), 7850-7884
Sums of reciprocals of fractional parts
Int. J. Number Theory 15 No.4 (2019), 789-797