KTH

Department of Mathematics

Lindstedtsvägen 25

100 44 Stockholm

Sweden

My research interests lie in the area of combinatorial and analytic number theory.

[11] | Frobenian multiplicative functions and rational points in fibrations (with D. Loughran). Submitted. arXiv. |

[10] | Linear correlations of multiplicative functions. Submitted. arXiv. |

[9] | A consequence of the factorisation theorem for polynomial orbits on nilmanifolds. (Corrigendum to Acta Arith. 154 (2012), 235-306.) arXiv pdf |

[8] | 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 |

[6] | Norm forms for arbitrary number fields as products of linear polynomials
(with T. Browning).
Ann. Sci. Ecole Norm. Sup. 50 (2017), 1375-1438.
arXiv |

[5] | 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 |

[4] | Correlations of representation functions of binary quadratic forms,
Acta Arith. 158 (2013), 245-252.
arXiv |

[3] | Linear correlations amongst numbers represented by positive definite binary quadratic forms,
Acta Arith. 154 (2012), 235-306.
arXiv |

[2] | Correlations of the divisor function,
Proc. London Math. Soc. 104 (2012), 827-858.
arXiv* |

[1] | There are uncountably many topological types of locally finite trees,
J. Comb. Theory, Ser. B 96 (2006), 758-760.
pdf |

**email:** lilian.matthiesen at math. kth. se