40
An application of algebraic number theory to higher dimensional Steinhaus problems (with R. Roeder), spreprint
39
Convergence of moderately trimmed sums for the doubling map (with T. Schindler), preprint
38
Deviations of ergodic averages for linearly repetitive cut and project sets (with A. Julien, H. Koivusalo, J. Walton), preprint
37
Higher dimensional Steinhaus problems and a conjecture or Erdos, Geleen, and Simpson (with J. Marklof), preprint
36
A measure theoretic result for approximation by Delone sets (with M. Baake), submitted
35
Statistics of patterns in typical cut and projects sets (with A. Julien, H. Koivusalo, J. Walton), submitted
34
Linear repetitivity and subadditive ergodic theorems for cut and project sets (with H. Koivusalo, J. Walton), submitted
33
A randomized version of the Littlewood conjecture (with H. Koivusalo), J. Number Theory, to appear
32
Sums of reciprocals of fractional parts and multiplicative Diophantine approximation (with V. Beresnevich, S. Velani), monograph, Mem. Amer. Math. Soc., to appear
31
Averaging almost periodic functions along exponential sequences (with M. Baake, D. Lenz), book chapter, to appear in Aperiodic Order, vol II
30
Perfectly ordered quasicrystals and the Littlewood Conjecture (with H. Koivusalo, J. Walton), Trans. Amer. Math. Soc., to appear
29
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices, II (with M. Kelly, H. Koivusalo), Indag. Math. 28 (2017), 138-144
28
Gaps problems and frequencies of patches in cut and project sets (with H. Koivusalo, L. Sadun, J. Walton), Math. Proc. Cambridge Philos. Soc. 161 (2016), no. 1, 65-85
28
Open problems and conjectures related to the theory of mathematical quasicrystals (with F. Adiceam, D. Damanik, F. Gahler, U. Grimm, A. Julien, A. Navas, L. Sadun, B. Weiss), Arnold Math. J. 2 (2016), no. 4, 579-592
27
Hankel determinants of zeta values (with W. Zudilin), Symmetry, Integrability and Geometry: Methods and Applications 11 (2015)
26
Constructing bounded remainder sets and cut-and-project sets which are bounded distance to lattices (with H. Koivusalo), Israel J. Math. 212 (2016), no. 1, 189-201
25
Equivalence classes of codimension one cut-and-project nets, Ergodic Theory Dynam. Systems 36 (2016), no. 3, 816-831
24
Projective metric number theory (with A. Ghosh), J. Reine Angew. Math. 712 (2016), 39-50
23
Diophantine approximation and coloring (with S. Munday), Amer. Math. Monthly 122 (2015), no. 6, 567-580
22
Equivalence relations on separated nets arising from linear toral flows (with M. Kelly, B. Weiss), Proc. Lond. Math. Soc. (3) 109 (2014), no. 5, 1203-1228
21
Deformation quantization and irrational numbers (with E. Hawkins), J. Symplectic Geom. 12 (2014), no. 1, 1-22
20
Quantitative ergodic theorems for weakly integrable functions, Ergodic Theory Dyn. Syst. 34 (2014), no. 2, 534-542
19
Group automorphisms with prescribed growth of periodic points, and small primes in arithmetic progressions in intervals (with C. White), Adv. Math. 252C (2014), 572-585
18
Metrical musings on Littlewood and friends (with J. L. Jensen, S. Kristensen), Proc. Amer. Math. Soc. 142 (2014), no. 2, 457-466
17
Density of orbits of semigroups of endomorphisms acting on the Adeles (with S. Munday), New York J. Math. 19 (2013), 443-454
16
The mixed Littlewood conjecture for pseudo-absolute values (with S. Harrap), Math. Ann. 357 (2013), no.3, 942-960
15
The Duffin-Schaeffer Conjecture with extra divergence II (with V. Beresnevich, G. Harman, S. Velani), Math Z. 275 (2013), no.1-2, 127-133
14
Multiplicative zero-one laws and metric number theory (with V. Beresnevich, S. Velani), Acta. Arith. 160 (2013), no.2, 101-114
13
Incomplete Kloosterman sums and multiplicative inverses in short intervals (with T. D. Browning), Int. J. Number Theory 9 (2013), no.2, 481-486
12
The Duffin-Schaeffer Conjecture with extra divergence (with A. Pollington, S. Velani), Math. Ann. 353 (2012), no.2, 259-273
11
Inhomogeneous approximation by coprime integers, New York J. Math. 18 (2012) 249-259
10
Metric considerations concerning the mixed Littlewood Conjecture (with Y. Bugeaud, S. Velani), Int. J. Number Theory 7 (2011), no. 3, 593-609
9
A note on Farey fractions with denominators in arithmetic progressions (with D. Badziahin), Acta. Arith. 147 (2011), no.3, 205-215
8
Numerators of differences of nonconsecutive Farey fractions, Int. J. Number Theory 6 (2010), no.3, 1-12
7
The metric theory of p-adic approximation, Int. Math. Res. Not. 2010, no.1, 18-52
6
Intermediate convergents and a metric theorem of Khinchin, Bull. Lond. Math. Soc. 41 (2009), 396-410
5
The group ring of Q/Z and an application of a divisor problem (with K. Homma), Proc. Amer. Math. Soc. 137 (2009), 1285-1293
4
Martingale differences and the metric theory of continued fractions (with J. Vaaler), Illinois J. Math. 52 (2008), no.1, 213-242
3
Tools and techniques in Diophantine approximation, thesis, University of Texas at Austin (2006), 154pp
2
The distribution of special subsets of the Farey sequence, J. Number Theory 107 (2004), no.1, 95-104
1
A note on Farey fractions with odd denominators, J. Number Theory 98 (2003), no.1, 89-104