University Lecturer
Research Interests: Analysis, Combinatorics, Number Theory
Publications
Absolute continuity of Bernoulli convolutions for algebraic parameters
– Journal of the American Mathematical Society
(2019)
32,
351
(DOI: 10.1090/jams/916)
The structure theory of Nilspaces II: Representation as nilmanifolds
– Transactions of the American Mathematical Society
(2019)
371,
4951
(DOI: 10.1090/tran/7503)
Spectral gap in the group of affine transformations over prime fields
– Annales de la faculté des sciences de Toulouse Mathématiques
(2016)
25,
969
(DOI: 10.5802/afst.1518)
Recent progress on Bernoulli convolutions
– Proceedings of the 7th European Congress of Mathematics
(2016)
Random walks in the group of euclidean isometries and self-similar measures
– Duke Mathematical Journal
(2015)
165,
1061
(DOI: 10.1215/00127094-3167490)
Random walks in Euclidean space
– Annals of Mathematics
(2015)
181,
243
(DOI: 10.4007/annals.2015.181.1.4)
Diophantine property in the group of affine transformations of the line
– Acta Scientiarum Mathematicarum
(2012)
80,
447
(DOI: 10.14232/actasm-013-757-6)
Expansion in perfect groups
– Geometric and Functional Analysis
(2012)
22,
1832
(DOI: 10.1007/s00039-012-0190-7)
Random walks in compact groups
– Documenta Mathematica
(2012)
18,
1137
Expansion in $SL_d(\mathcal{O}_K/I)$, $I$ square-free
– Journal of the European Mathematical Society
(2012)
14,
273
(DOI: 10.4171/jems/302)
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