Publications:
12) On the Hasse Principle for Complete Intersections,
(with Matthew J. Northey), submitted.
11) Rational points on complete
intersections over F_q(t), submitted.
11) A sparse equidistribution result for
(SL(2,R)/\Gamma_0)^n to appear in
Transactions of the AMS.
9) An
effective equidistribution result for SL(2,R)⋉(R2)⊕k and application
to inhomogeneous quadratic forms, (with Andreas Strömbergsson),
to appear in Journal of the London Mathematical Society.
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.