Professor
Research Interests: Analysis, Combinatorics, Number Theory
Publications
Lifting all elements in $\mathrm{SL}_{n}(\mathbb{Z}/q\mathbb{Z})$
– Journal of the European Mathematical Society
(2026)
(doi: 10.4171/jems/1790)
Counting rationals and diophantine approximation in missing-digit Cantor sets
– Advances in Mathematics
(2026)
488,
110807
(doi: 10.1016/j.aim.2026.110807)
A random polynomial with multiplicative coefficients is almost surely irreducible
(2025)
Self-similar measures associated to a homogeneous system of three maps
– Duke Mathematical Journal
(2024)
173,
513
(doi: 10.1215/00127094-2023-0019)
Exponential multiple mixing for commuting automorphisms of a nilmanifold
– Ergodic Theory and Dynamical Systems
(2023)
44,
1729
(doi: 10.1017/etds.2023.73)
On the Multiplicative Group Generated by Two Primes in Z∕Q Z
(2022)
373
(doi: 10.1007/978-3-031-05331-3_16)
Cut-off phenomenon for the ax+b Markov chain over a finite field
– Probability Theory and Related Fields
(2022)
184,
85
(doi: 10.1007/s00440-022-01161-w)
FOURIER DECAY OF SELF-SIMILAR MEASURES AND SELF-SIMILAR SETS OF UNIQUENESS
– Analysis & PDE
(2022)
15,
843
(doi: 10.2140/apde.2022.15.843)
Self-similar sets and measures on the line
– International Congress of Mathematicians.
(2021)
Mixing time of the Chung–Diaconis–Graham random process
– Probability Theory and Related Fields
(2020)
179,
317
(doi: 10.1007/s00440-020-01009-1)
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