University Lecturer
Research Interests: Analysis, Combinatorics, Number Theory
Publications
The structure theory of nilspaces III: Inverse limit representations and topological dynamics
– Advances in Mathematics
(2020)
365,
107059
(DOI: 10.1016/j.aim.2020.107059)
EXPANSION OF COSET GRAPHS OF PSL2(F-p)
– Israel Journal of Mathematics
(2019)
233,
335
(DOI: 10.1007/s11856-019-1907-1)
On the dimension of Bernoulli convolutions
– The Annals of Probability
(2019)
47,
2582
(DOI: 10.1214/18-AOP1324)
Absolute continuity of Bernoulli convolutions for algebraic parameters
– Journal of the American Mathematical Society
(2019)
32,
351
(DOI: 10.1090/jams/916)
On the dimension of Bernoulli convolutions for all transcendental parameters
– Annals of Mathematics
(2019)
189,
1001
(DOI: 10.4007/annals.2019.189.3.9)
Irreducibility of random polynomials of large degree
– Acta Mathematica
(2019)
223,
195
(DOI: 10.4310/acta.2019.v223.n2.a1)
Expansion of coset graphs of PSL2(Fp)
– Israel Journal of Mathematics
(2019)
233,
335
(DOI: 10.1007/s11856-019-1907-1)
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)
Random walks in the group of euclidean isometries and self-similar measures
– Duke Mathematical Journal
(2016)
165,
1061
(DOI: 10.1215/00127094-3167490)
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