Publications
Preprints ✍︎
Diophantine properties of two-dimensional Mahler vectors
In preparation
On the Hausdorff dimension of weighted excatly approximnable vectors
Submitted (2026)
Central limit theorems in multiplicative Diophantine approximation
Submitted (2026)
Submanifold-genericity of R^d-actions and uniform multiplicative Diophantine approximation
Submitted (2025)
Sums of reciprocals of fractional parts II
Submitted (2023)
Higher-dimensional moving averages and submanifold genericity
to appear in Discrete Contin. Dyn. Syst.
A uniform metrical theorem in multiplicative Diophantine approximation
Forum Math. Sigma 14 (2026), e39
On multiplicatively badly approximable vectors
J. Number Theory 278 (2026), 570-621
Decorrelation estimates for translated measures under diagonal flows
J. Mod. Dyn. 25 (2025), 401-441
A remark on the set of exactly approximable vectors in the simultaneous case
Proc. Amer. Math. Soc. 152 (2024), 3177-3182
A shrinking-target problem in the space of unimodular lattices in the three dimensional Euclidean space
Sel. Math. New Ser. 30, 57 (2024)
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