Preprints and papers

1. Quantitative asymptotics for polynomial patterns in the primes (with J. Teräväinen and M. Wang). Submitted. arXiv
2. Smooth numbers are orthogonal to nilsequences (with M. Wang). Submitted. arXiv
3. Frobenian multiplicative functions and rational points in fibrations (with D. Loughran). J. Eur. Math. Soc. 26 (2024), 4779–4830. arXiv doi:10.4171/JEMS/1374
4. Linear correlations of multiplicative functions. Proc. London Math. Soc. 121 (2020), 372-425. arXiv doi:10.1112/plms.12309
5. A consequence of the factorisation theorem for polynomial orbits on nilmanifolds. (Corrigendum to Acta Arith. 154 (2012), 235-306.) arXiv pdf
6. On the square-free representation function of a norm form and nilsequences. J. Inst. Math. Jussieu 17 (2018), 107-135. arXiv
7. Generalized Fourier coefficients of multiplicative functions. Algebra Number Theory 12 (2018), 1311-1400. arXiv
8. Norm forms for arbitrary number fields as products of linear polynomials (with T. Browning). Ann. Sci. Ecole Norm. Sup. 50 (2017), 1375-1438. arXiv
9. Rational points on pencils of conics and quadrics with many degenerate fibres (with T. Browning and A. Skorobogatov). Annals of Math. 180 (2014), 381-402. arXiv
10. Correlations of representation functions of binary quadratic forms, Acta Arith. 158 (2013), 245-252. arXiv
11. Linear correlations amongst numbers represented by positive definite binary quadratic forms, Acta Arith. 154 (2012), 235-306. arXiv
12. Correlations of the divisor function, Proc. London Math. Soc. 104 (2012), 827-858. arXiv*
13. There are uncountably many topological types of locally finite trees, J. Comb. Theory, Ser. B 96 (2006), 758-760. pdf