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.