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Research area:  Additive combinatorics


8. Rado's criterion over sparse arithmetic sets
    with S. Chow and S. Lindqvist
    (in preparation)
    Video lecture

7. A transference approach to a Roth-type theorem in the squares
    with T.D. Browning
    IMRN (2017
    Video lecture (download)

6. Four variants of the Fourier-analytic transference principle
    OJAC (2017).

5. Quantitative bounds in the polynomial Szemer├ędi theorem: the homogeneous case

    Discrete Analysis (2017).

4. Improvements in Birch's theorem on forms in many variables
    with T.D. Browning
    Journal reine angew. Math. (2017).
    Video lecture

3. Matrix progressions in multidimensional sets of integers
    Mathematika (2015).

2. Near-optimal mean value estimates for multidimensional Weyl sums
    with S.T. Parsell and T.D. Wooley
    Geom. Funct. Anal. (2013).

1. Solution-free sets for sums of binary forms
    Proc. Lond. Math. Soc. (2013).


Mathematics 0C1, Manchester, 2016 & 2017.
Topics in Modern Geometry, Bristol, 2014.
Number Theory and Group Theory, Bristol, 2012.
Galois Theory, Bristol, 2012.

Some songs I wrote:

old band: