
Research Interests:
Publications
Entropy of Bernoulli Convolutions and Uniform Exponential Growth for Linear Groups
– Journal d'Analyse Mathématique
(2020)
140,
443
(DOI: 10.1007/s11854-020-0100-0)
Irreducibility of random polynomials of large degree
– Acta Mathematica
(2019)
223,
195
(DOI: 10.4310/acta.2019.v223.n2.a1)
On the dimension of Bernoulli convolutions
– Annals of Probability
(2019)
47,
2582
(DOI: 10.1214/18-AOP1324)
Salem numbers and the spectrum of hyperbolic surfaces
– International Mathematics Research Notices
(2018)
(DOI: 10.1093/imrn/rny225)
Diophantine approximation on matrices and Lie groups
– Geometric and Functional Analysis
(2018)
28,
1
(DOI: 10.1007/s00039-018-0436-0)
C*-simplicity and the unique trace property for discrete groups
– Publications mathématiques de l'IHÉS
(2017)
126,
35
(DOI: 10.1007/s10240-017-0091-2)
Nilprogressions and groups with moderate growth
– Advances in Mathematics
(2016)
289,
1008
(DOI: 10.1016/j.aim.2015.11.025)
Expansion in finite simple groups of Lie type
– Journal of the European Mathematical Society
(2015)
17,
1367
(DOI: 10.4171/jems/533)
The structure of approximate groups
– Publications mathématiques de l'IHÉS
(2012)
116,
115
(DOI: 10.1007/s10240-012-0043-9)
Strongly dense free subgroups of semisimple algebraic groups
– Israel Journal of Mathematics
(2012)
192,
347
(DOI: 10.1007/s11856-012-0030-3)
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