Optimal strong approximation for quadratic forms Duke Math. J., Volume 168, Number 10 (2019), 1887-1927.
Sections of quadrics over $A_{F_q}^1$ (With Masoud Zargar) Submitted.
Ramanujan graphs and exponential sums over function fields. (With Masoud Zargar) Submitted.
The least prime number represented by a binary quadratic for, Accepted for publication at JEMS
Quadratic Forms and Semiclassical Eigenfunction Hypothesis for Flat Tori, Commun. Math. Phys. (2018) 358: 895. https://doi.org/10.1007/s00220-017-3044-1
Asymptotic trace formula for the Hecke operators (With Junehyuk Jung and appendix by Simon Marshall) Submitted.
Intersecting geodesics on the modular surface (With Junehyuk Jung).
Diameter of Ramanujan graphs and random cayley graphs, Combinatorica (2018).
[1]Quantum Chaos on Random Cayley Graphs of SL_2[Z/pZ], (With Igor Rivin) Experimental Mathematics.
[5] Complexity of strong approximation on the sphere, IMRN, 2019
Navigating Morgenstern Ramanujan graphs, (With Masoud Zargar)work in progress.
THE SIEGEL VARIANCE FORMULA FOR QUADRATIC FORMS, Submitted.
Optimal strong approximation (With Peter Humphries), work in progress.
Bounds on the multiplicity of the Hecke eigenvalues, Preprint.
Vanishing Fourier coefficients of Hecke eigenforms, Accepted for publication at Math Annalen.
[1] The diophantine exponent of the $\mathbb{Z}/q\mathbb{Z}$ points of $S^{d-2}\subset S^d, (With Mostafa Hassan, Yuchen Mao, Rodrigo smith, and Xiaohan Zhu) Submitted.