My PhD thesis, "Level p paramodular congruences of Harder type".
Publications

(with N. Dummigan) Automorphic forms for some even unimodular lattices. Arxiv.

(with L. Walling) Hecke operators on HilbertSiegel theta series. Arxiv. Submitted to IJNT.

(with J. Bober, G. Martin and T. Wooley) Smooth values of polynomials. Journal of the Australian Maths Society (2019). DOI 10.1017/S1446788718000320

Generic level p Eisenstein congruences for GSp4. Journal of Number Theory (2017), Vol 180, p.673693. DOI 10.1016/j.jnt.2017.05.004

Genus 2 paramodular Eisenstein Congruences. Ramanujan Journal (2017), Vol 46, Issue 2, p.447473. DOI 10.1007/s1113901798847

(with N. Dummigan) Ramanujanstyle congruences of local origin. Journal of Number Theory, Vol 143, p.248261 (2014). DOI 10.1016/j.jnt.2014.04.008
In preparation

(with C. Hsu and D. Spencer) Hilbert modular Eisenstein congruences.

(with N. Gillespie and B. Naskrecki) Equiangular lines and an elliptic surface.

(with L. Du and G. Kopp) Superirreducible polynomials over finite fields.
A selection of talks

Arthurian Tales, talk given at Young Researchers in Algebraic Number Theory, Warwick (2019).

Hilbert modular Eisenstein congruences, talk given at Young Researchers in Algebraic Number Theory, Sheffield (2018).

A oCmedy of Errosr, public outreach talk given at Pint of Science, Bristol (2018)

An Eisenstein congruence for genus 2 HilbertSiegel forms, given at the AMS Special Session on Real analytic automorphic forms, UNT, Texas (2017).

Paramodular Eisenstein congruences for GSp4, given at the 31st automorphic forms workshop, ETSU, Tennessee (2017).

Local origin congruences for elliptic modular forms, given at the 30th automorphic forms workshop, Wake Forest, North Carolina (2016).

Level p paramodular congruences of Harder type, given at the EU/US Building bridges automorphic forms workshop, Bristol (2014).

Towards a "convoluted" problem of Cohn, given at BMC, Bristol (2016).

A short 2min talk on local origin congruences, given at a workshop on Siegel and Bianchi modular forms, Sheffield (2014).

Various talks given at the Sheffield postgraduate seminars; Escher and the Droste effect, The 290 theorem, Elliptic curves and the SatoTate conjecture, The Leech lattice and two remarkable properties, An instance of the Cebotarev density theorem.

Some undergrad level talks; Primes of the form x^2+ny^2, When is a prime not prime?, Cyclotomic number fields.

Outreach talks; The magic of modular forms (given to Cambridge Part III students) and The Eulerian quandry (given to Year 9 pupils at St. Bernard's School in Rotherham).