Publications
Preprints
27. Spherical density for real semisimple groups.
(2026) · PDF
26. Loss of memory in the periodic Ehrenfest model with small polyhedral scatterers.
With J. Marklof (2026) · arXiv · PDF
25. Poissonian pair correlation for the three-particle Sutherland model.
(2026) · arXiv · PDF
24. Improved sup-norm bounds for locally symmetric spaces.
(2026) · arXiv · PDF
23. Poissonian correlations of $\alpha n^d \bmod 1$.
With N. Rome and N. Technau (2026) · arXiv · PDF
22. The Gauss circle problem for Penrose tilings.
With A. Haynes (2025) · arXiv · PDF
21. Average variance bounds for integer points on the sphere.
(2024) · arXiv · PDF
Publications
20. Exceptional eigenvalue density for thin groups.
Accepted in IMRN (2026) · arXiv · PDF
19. Sign changes along geodesics of modular forms.
With D. Kelmer and A. Kontorovich. Accepted in J. Théor. Nombres Bordeaux (2024) · arXiv · PDF
18. Counting in lattice orbits.
With A. Kontorovich. Accepted in Bull. London Math. Soc. (2024) · arXiv · PDF
17. Diffusion of the random Lorentz process in a magnetic field.
With B. Tóth. J. Math. Phys. 66(11) (2025), Editor’s Pick · Journal · arXiv · PDF
16. Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces.
With T. Weich and L. Wolf. Accepted in Duke Math. J. (2024) · arXiv · PDF
15. An abstract spectral approach to horospherical equidistribution.
Nonlinearity 38(10), 105014 (2025) · arXiv · PDF
14. Hyperbolic lattice point counting in unbounded rank.
With V. Blomer. J. Reine Angew. Math. 2024(812), 257–274 (2024) · Journal · arXiv · PDF
13. Mean square bounds on Eisenstein series.
With D. Kelmer and A. Kontorovich. Int. J. Number Theory 20(8), 2083–2098 (2024) · arXiv · PDF
12. These numbers look random but aren’t, mathematicians prove.
Scientific American (2024) · Article
11. $m$-point correlations of the fractional parts of $\alpha n^\theta$.
With N. Technau. Amer. J. Math. 148(2), 569–597 (2026) · arXiv · PDF
10. Full Poissonian local statistics of slowly growing sequences.
With N. Technau. Compos. Math. 161(1), 148–180 (2025) · Journal · arXiv · PDF
9. Effective counting in sphere packings.
With A. Kontorovich. J. Assoc. Math. Res. 2, 15–52 (2024) · Journal · arXiv · PDF
8. Sarnak’s spectral gap question.
With D. Kelmer and A. Kontorovich. J. Anal. Math. 151, (special volume dedicated to Peter Sarnak) 171–179 (2023) · Journal · arXiv · PDF
7. Pair correlation of the fractional parts of $\alpha n^\theta$.
With A. Sourmelidis and N. Technau. J. Eur. Math. Soc. 27(10), 4069–4082 (2024) · Journal · arXiv · PDF
6. Long-range correlations of sequences modulo 1.
J. Number Theory 234, 333–348 (2022) · Journal · arXiv · PDF
5. Farey sequences for thin groups.
Int. Math. Res. Not. 2022(15), 11642–11689 (2022) · Journal · arXiv · PDF
4. Invariance principle for the random wind-tree process.
With B. Tóth. Ann. Henri Poincaré 22(10), 3357–3389 (2021) · Journal · arXiv · PDF
3. Invariance principle for the random Lorentz gas—beyond the Boltzmann–Grad limit.
With B. Tóth. Comm. Math. Phys. 379, 589–632 (2020) · Journal · arXiv · PDF
2. Directions in orbits of geometrically finite hyperbolic subgroups.
Math. Proc. Cambridge Philos. Soc. 171(2), 277–316 (2020) · Journal · arXiv · PDF
1. Microscopic approach to nonlinear reaction-diffusion: The case of morphogen gradient formation.
With J. P. Boon and J. F. Lutsko. Phys. Rev. E 85, 021126 (2012) · Journal · arXiv · PDF
PhD thesis
Statistical properties of dynamical systems: from statistical mechanics to hyperbolic geometry.
University of Bristol (2020) · Thesis record · PDF