Most of my papers are on the **arxiv. **

**Independence inheritance and Diophantine approximation for systems of linear forms,
**with D. Allen,

*International Mathematics Research Notices,*to appear.

**Diophantine approximation in metric space,
**with J. Fraser and H. Koivusalo,

*Submitted.*

**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.