Publications:
14) A
two-dimensional delta symbol method and its application to pairs
of quadratic forms, (with Junxian Li and Simon L. Rydin
Myerson), submitted.
13) Rational curves on
complete intersections and the circle method, (with Tim
Browning and Shuntaro
Yamagishi), submitted.
12) On the Hasse Principle for Complete Intersections,
(with Matthew J.
Northey), Compositio Mathematica, 160(4), 771-835.
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
e ffective 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.