Most of my papers are on the arxiv.
Inhomogeneous approximation for systems of linear forms with primitivity constraints,
with D. Allen,
Submitted.
The Duffin-Schaeffer conjecture for systems of linear forms,
Submitted.
Independence inheritance and Diophantine approximation for systems of linear forms,
with D. Allen,
International Mathematics Research Notices 2023 (2023), no. 2, 1760-1794.
Diophantine approximation in metric space,
with J. Fraser and H. Koivusalo,
Bulletin of the London Mathematical Society 55 (2023), 756-776.
Dirichlet is not just Bad and Singular,
with V. Beresnevich, L. Guan, A. Marnat, and S. Velani,
Advances in Mathematics 401 (2022) 108316.
Remarks about inhomogeneous pair correlations,
Mathematical Proceedings of the Cambridge Philosophical Society 173 (2022), no. 2, 369-386.
A note on sequences not having metric Poissonian pair correlations,
Archiv der Mathematik 116 (2021), 659–665.
Approximation by random fractions,
with L. Kaziulyte,
In preparation.
Khintchine’s theorem with random fractions,
Mathematika 66 (2020), no. 1, 178-199. (Published online December 5, 2019)
A characterization of bad approximability,
Nonlinearity 31 (2018), no. 9, 4246-4262.
Recurrence to shrinking targets on typical self-affine fractals,
with H. Koivusalo,
Proceedings of the Edinburgh Mathematical Society 61 (2018), no. 2, 387-400.
Rational approximation of affine coordinate subspaces of Euclidean space,
with D. S. Simmons and F. Sueess,
Acta Arithmetica 177 (2017), no. 1,91-100.
Different speeds suffice for rendezvous of two agents in arbitrary graphs,
with E. Kranakis, D. Krizanc, E. Markou, and A. Pagourtzis,
Theory and Practice of Computer Science. SOFSEM 2017. Lecture Notes in Computer Science, vol 10139. Springer, Cham
Counterexamples, covering systems, and zero-one laws for inhomogeneous approximation,
International Journal of Number Theory 13 (2017), no. 3, 633-654.
Higher cohomology of parabolic actions on certain homogeneous spaces,
Journal d’Analyse Mathématique 131 (2017), no. 1, 255-275.
Metric Diophantine Approximation: aspects of recent work,
with V. Beresnevich and S. Velani,
Dynamics and Analytic Number Theory, London Mathematical Society Lecture Note Series 437, eds. D. Badziahin, A. Gorodnik, N. Peyerimhoff, Cambridge University Press, 2016. (pp. 1-95)
Khintchine types of translated coordinate hyperplanes,
Acta Arithmetica 170 (2015), no. 3, 243-273.
Limit theorems for rank-one Lie groups,
with A. Gorodnik,
Proceedings of the American Mathematical Society 142 (2014), no. 4, 1359-1369.
Invariant distributions and cohomology for geodesic flows and higher cohomology of higher-rank Anosov actions,
Journal of Functional Analysis 265 (2013), no. 6, 1002-1063.
Higher cohomology for Anosov actions on certain homogeneous spaces,
Journal d’Analyse Mathématique 121 (2013), no. 1, 177-222.
Smooth cocycles over homogeneous dynamical systems,
Ph. D. Thesis, University of Michigan, Ann Arbor (2010). Advisor: Ralf Spatzier.
Cocycles over higher-rank abelian actions on quotients of semisimple Lie groups,
Journal of Modern Dynamics 3 (2009), no. 3, 335-357.