Publications
13. (with G. Hammarhjelm and A. Strömbergsson) Asymptotic estimates of large gaps between directions in certain planar quasicrystals (pdf), J. Lond. Math. Soc. (2) 111 (2025), no. 6, Paper No. e70187.
12. (with A. Ghosh and D. Kelmer) Effective density for inhomogeneous quadratic forms II: fixed forms and generic shifts (pdf), Int. Math. Res. Not. IMRN 2023, no.22, 19507-19545.
11.(with D. Kelmer) Second moment of the light-cone Siegel transform and applications (pdf), Adv. Math. 432 (2023), Paper No. 109270, 70pp.
10. (with D. Kelmer) Fourier expansion of light-cone Eisenstein series (pdf), J. Lond. Math. Soc (2) 108 (2023), no. 6, 2175-2247.
9.(with D. Kleinbock and A. Strömbergsson) A measure estimate in geometry of numbers and improvements to Dirichlet's theorem (pdf), Proc. Lond. Math. Soc. (3) 125 (2022), no. 5, 778-824.
8. (with A. Ghosh and D. Kelmer) Effective density for inhomogeneous quadratic forms I: generic forms and fixed shifts (pdf), Int. Math. Res. Not. IMRN 2022, no. 6, 4682-4719.
7. (with C. Burrin and U. Shapira) Translates of rational points along expanding closed horocycles on the modular surface (pdf), Math. Ann. 382 (2022), no. 1-2, 655–717.
6. (with M. Alam and A. Ghosh) Quantitative Diophantine approximation with congruence conditions (pdf), J. Théor. Nombres Bordeaux 33 (2021) no. 1, pp. 261-271.
5. (with D. Kelmer) The second moment of the Siegel transform in the space of symplectic lattices (pdf), Int. Math. Res. Not. IMRN 2021, no. 8, 5825-5859.
4. (with D. Kelmer) Values of random polynomials in shrinking targets (pdf), Trans. Amer. Math. Soc. 373 (2020), 8677-8695.
3. (with D. Kleinbock) A dynamical Borel-Cantelli lemma via improvements to Dirichlet's theorem (pdf), Mosc. J. Comb. Number Theory, 9 (2020), 101–122.
2. (with D. Kelmer) Shrinking targets problems for flows on homogeneous spaces (pdf), Trans. Amer. Math. Soc. 372 (2019), no.9, 6283-6314.
1. Logarithm laws for unipotent flows on hyperbolic manifolds (pdf), J. Mod. Dyn., 11 (2017) 447-476.
My papers are also available on the arXiv, but some of the versions there might be slightly outdated.
Other writings
2. A refinement of Khintchine's theorem via unipotent flows (pdf).
1. The second moment of the Siegel transform on the space of rank two unimodular lattices (pdf).