Preprints and papers
- Smooth numbers are orthogonal to nilsequences (with M. Wang). Submitted. arXiv
- Frobenian multiplicative functions and rational points in fibrations (with D. Loughran). J. Eur. Math. Soc. (JEMS), to appear. arXiv
- Linear correlations of multiplicative functions. Proc. London Math. Soc., 121 (2020), 372-425. arXiv doi:10.1112/plms.12309
- A consequence of the factorisation theorem for polynomial orbits on nilmanifolds. (Corrigendum to Acta Arith. 154 (2012), 235-306.) arXiv pdf
- On the square-free representation function of a norm form and nilsequences. J. Inst. Math. Jussieu 17 (2018), 107-135. arXiv
- Generalized Fourier coefficients of multiplicative functions. Algebra Number Theory 12 (2018), 1311-1400. arXiv
- Norm forms for arbitrary number fields as products of linear polynomials (with T. Browning). Ann. Sci. Ecole Norm. Sup. 50 (2017), 1375-1438. arXiv
- 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
- Correlations of representation functions of binary quadratic forms, Acta Arith. 158 (2013), 245-252. arXiv
- Linear correlations amongst numbers represented by positive definite binary quadratic forms, Acta Arith. 154 (2012), 235-306. arXiv
- Correlations of the divisor function, Proc. London Math. Soc. 104 (2012), 827-858. arXiv*
- There are uncountably many topological types of locally finite trees, J. Comb. Theory, Ser. B 96 (2006), 758-760. pdf