Publications:


12) On the Hasse Principle for Complete Intersections, (with Matthew J. Northey), to appear at Compositio Mathematica.

11) Rational points on complete intersections over F_q(t), Proceedings of the LMS, Volume 126, Issue 2, February 2023, Pages 556-619.

11) A sparse equidistribution result for (SL(2,R)/\Gamma_0)^n ,Transactions of the AMS Transactions of the American Mathematical Society 375(1): 669-694. .

9) An effective equidistribution result for SL(2,R)⋉(R2)⊕k and application to inhomogeneous quadratic forms, (with Andreas Strömbergsson),  Journal of the London Mathematical Society, Volume 102, Issue 1, 2020, Pages 143-204.

8) On the Hasse Principle for quartic hypersurfaces, (with Oscar Marmon), Duke Math J, Volume 168, Number 14 (2019), 2727-2799..

7) Rational curves on smooth hypersurfaces of low degree, (with Tim Browning), Algebra Number Theory, Volume 11, Number 7 (2017), 1657-1675.

6) Diophantine approximation for products of linear maps -- logarithmic improvements,  (with Alex Gorodnik), Transactions of the American Mathematical Society., 370 (1). pp. 487-507.

5) Cubic hypersurfaces over F_q(t), (with Tim Browning), GAFA, 25 (2015), 671-732.

4) Uniform bounds for period integrals and sparse equidistribution, (with James Tanis), Int Math Res  Notices, 2015(24): 13728-13756.

3) A version of the circle method over number fields, (with Tim Browning),  Duke Math. J. 163 (2014), no. 10, 1825-1883.

2) A fast algorithm to compute L(1/2, f $\times$ $\chi_q$), Journal of Number Theory, Vol. 133, No. 5, 05.2013, p. 1502-1524.

1) Rapid computation of L-functions for modular forms, Int Math Res Notices, vol 2013, no. 11, pp. 2624-2656., 10.1093/imrn/rns112

0) Dynamical methods for rapid computations of $L$-functions, PhD thesis, 2010.