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Research Interests:  Analytic number theory, additive combinatorics.

Moments of random multiplicative functions and truncated characteristic polynomials (with W. Heap). The Quarterly Journal of Mathematics 67 (2016), no. 4, 683-714.

Large time step TVD schemes for hyperbolic conservation laws (with P. Aursand, T. Fl├ątten and A. Solberg). SIAM J. Numer. Anal. 54 (2016), no. 5, 2775-2798.

Partition regularity of generalised Fermat equations. Accepted for publication in Combinatorica, 2017.

Monochromatic solutions to $x+y=z^2$ (with B. Green). Accepted for publication in Canadian Journal of Mathematics, 2017.

Weak approximation results for quadratic forms in four variables Submitted, 2017.

The equation $x+y=z^2$ is not partition regular over $\mathbb{Z}/p^n\mathbb{Z}$

Monochromatic solutions to $x+y$ a square in $\mathbb{Z}/q\mathbb{Z}$