| Publication | Date of Publication | Type |
|---|
| On the ergodic theory of the real Rel foliation | 2024-04-18 | Paper |
| The horocycle flow on the moduli space of translation surfaces | 2024-03-24 | Paper |
| Connectivity of the Gromov boundary of the free factor complex | 2024-03-07 | Paper |
| Horocycle dynamics in rank one invariant subvarieties I: weak measure classification and equidistribution | 2023-01-29 | Paper |
| Zero measure spectrum for multi-frequency Schrödinger operators | 2022-10-07 | Paper |
| Shrinking rates of horizontal gaps for generic translation surfaces | 2022-07-08 | Paper |
| Stationary coalescing walks on the lattice II: entropy | 2021-10-29 | Paper |
| Self-joinings for 3-IETs | 2021-07-05 | Paper |
| Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang) | 2021-05-20 | Paper |
| A prime system with many self-joinings | 2021-05-20 | Paper |
| On the Space of Ergodic Measures for the Horocycle Flow on Strata of Abelian Differentials | 2021-04-01 | Paper |
| Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders | 2021-03-25 | Paper |
| The set of non-uniquely ergodic \(d\)-IETs has Hausdorff codimension 1/2 | 2020-11-02 | Paper |
| Zero Measure Spectrum for Multi-Frequency Schr\"odinger Operators | 2020-09-24 | Paper |
| Tremors and horocycle dynamics on the moduli space of translation surfaces | 2020-04-08 | Paper |
| Weakly Mixing Polygonal Billiards | 2020-03-02 | Paper |
| Stationary coalescing walks on the lattice | 2019-11-07 | Paper |
| Ergodicity of skew products over linearly recurrent IETs | 2019-10-17 | Paper |
| Path-connectivity of the set of uniquely ergodic and cobounded foliations | 2019-09-09 | Paper |
| Möbius disjointness for interval exchange transformations on three intervals | 2019-06-27 | Paper |
| Quantitative shrinking target properties for rotations and interval exchanges | 2019-05-16 | Paper |
| Horocycle flow orbits and lattice surface characterizations | 2019-05-13 | Paper |
| Limits in \(\mathcal{PMF}\) of Teichmüller geodesics | 2019-02-05 | Paper |
| Self joinings of rigid rank one transformations arise as strong operator topology limits of convex combinations of powers | 2019-01-24 | Paper |
| The set of uniquely ergodic interval exchange transformations is path-connected | 2019-01-11 | Paper |
| The typical measure preserving transformation is not an interval exchange transformation | 2018-12-26 | Paper |
| Logarithmic laws and unique ergodicity | 2018-12-10 | Paper |
| A smooth mixing flow on a surface with nondegenerate fixed points | 2018-10-25 | Paper |
| A quantitative shrinking target result on Sturmian sequences for rotations | 2018-08-22 | Paper |
| Uniform distribution of saddle connection lengths | 2018-06-27 | Paper |
| Circle averages and disjointness in typical translation surfaces on every Teichmüller disc | 2017-10-24 | Paper |
| Arithmetic progressions in middle Nth cantor sets | 2017-03-27 | Paper |
| Dichotomy for arithmetic progressions in subsets of reals | 2016-10-19 | Paper |
| The gap distribution of slopes on the golden L | 2016-02-23 | Paper |
| There exists an interval exchange with a non-ergodic generic measure | 2016-01-21 | Paper |
| The Hausdorff dimension of non-uniquely ergodic directions in \(H(2)\) is almost everywhere \(1/2\) | 2016-01-21 | Paper |
| Every flat surface is Birkhoff and Oseledets generic in almost every direction | 2015-09-21 | Paper |
| Topological mixing for some residual sets of interval exchange transformations | 2015-02-03 | Paper |
| Every transformation is disjoint from almost every non-classical exchange | 2014-12-01 | Paper |
| -recurrence in skew products | 2014-11-07 | Paper |
| Skew products over rotations with exotic properties | 2014-03-14 | Paper |
| Winning games for bounded geodesics in moduli spaces of quadratic differentials | 2014-03-07 | Paper |
| Borel-Cantelli sequences | 2013-07-11 | Paper |
| Diophantine properties of iets and general systems: quantitative proximality and connectivity | 2013-06-28 | Paper |
| On Minkowski diagonal functions for two real numbers | 2013-04-25 | Paper |
| A dichotomy for the stability of arithmetic progressions | 2013-03-19 | Paper |
| Classical homogeneous multidimensional continued fraction algorithms are ergodic | 2013-02-20 | Paper |
| The distribution of gaps for saddle connection directions | 2013-01-29 | Paper |
| There exists a topologically mixing interval exchange transformation | 2012-09-04 | Paper |
| Every ergodic transformation is disjoint from almost every interval exchange transformation | 2012-03-13 | Paper |
| Shrinking targets for IETS: extending a theorem of Kurzweil | 2012-01-24 | Paper |
| Homogeneous approximation for flows on translation surfaces | 2011-10-27 | Paper |
| On the Hausdorff dimensions of a singular ergodic measure for some minimal interval exchange transformations | 2011-05-18 | Paper |
| Schrödinger operators defined by interval-exchange transformations | 2010-03-10 | Paper |
| A theorem on accepted elasticity in certain local arithmetical congruence monoids. | 2009-10-26 | Paper |
| On the Frequency of Balanced Times in Cylinder Flows | 2009-08-31 | Paper |
| The densest sequence in the unit circle | 2009-06-01 | Paper |
| [0,1 is not a Minimality Detector for [0,1]^2] | 2009-05-26 | Paper |
| Hausdorff dimension for ergodic measures of interval exchange transformations | 2008-10-30 | Paper |
| On a result of James and Niven concerning unique factorization in congruence semigroups. | 2008-02-15 | Paper |
| On the arithmetic of arithmetical congruence monoids | 2007-03-13 | Paper |
