Please be aware that the published version may differ slightly from the arXiv version.
20. On the existence of magic squares of powers (with N. Rome).
arXiv:2406.09364.
19. Integral solutions to systems of diagonal equations (with N. Rome).
arXiv:2406.09256.
18. Rational curves on complete intersections and the circle method (with T.D. Browning and P. Vishe).
17. Quartic polynomials in two variables do not represent all non-negative integers (with S.Y. Xiao).
arXiv:2307.05712.
16. Birch's theorem on forms in many variables with a Hessian condition.
arXiv:2304.02620.
15. Diophantine equations in primes: density of prime points on affine hypersurfaces II.
arXiv:2111.06122.
14. Density of rational points near/on compact manifolds with certain curvature conditions (with D.
Schindler).
Adv. Math. 403 (2022), Paper No. 108358, 36 pp.
13. Diophantine equations in primes: density of prime points on affine hypersurfaces.
Duke Math. J. 171 (4) (2022), 831-884.
12. On an oscillatory integral involving a homogeneous form.
Funct. Approx. Comment. Math. 62 (2020), 21-58.
11. Arithmetic of higher-dimensional orbifolds and a mixed Waring problem (with T.D. Browning).
Math. Z. 299 (2021), no. 1-2, 1071-1101.
10. Diophantine equations in semiprimes.
Discrete Analysis 2019:17, 21 pp.
9. Prime solutions to polynomial equations in many variables and differing degrees.
Forum Math. Sigma 6 (2018), e19, 89 pp.
8. An exponential sum estimate for systems including linear polynomials.
J. Théorie Nombres Bordeaux 30 (2018), 485-499.
7. Zeroes of polynomials with prime inputs and Schmidt's $h$-invariant (with S.Y. Xiao).
Canad. J. Math. 72 (2020), no. 3, 805-833.
6. Sidon basis in polynomial rings over finite fields (with W. Kuo).
Czechoslovak Math. J. 71 (146) (2021), no. 2, 555-562.
5. On a problem of Sidon for polynomials over finite fields (with W. Kuo).
Acta Arith. 174 (2016), no. 3, 239-254.
4. The asymptotic formula for Waring's problem in function fields.
Internat. Math. Res. Notices (2016) 2016, no. 23, 7137-7178.
3. Diophantine approximation of polynomials over $\mathbb{F}_q[t]$ satisfying a divisibility condition.
Int. J. Number Theory 12 (2016), no. 5, 1371-1390.
2. A generalization of a theorem of Erdős-Rényi to $m$-fold sums and differences (with K.E. Hare).
Acta Arith. 166 (2014), no. 1, 55-67.
1. Computing the moment polynomials of the zeta function (with M.O. Rubinstein).
Math. Comp. 84 (2015), no. 291, 425-454.