Research

Publications

1. The Lp convergence of Fourier series on triangular domains. Proceedings of the Edinburgh Mathematics Society, 66(2), pp. 453–474 (2023)

2. Remarks on the Lp convergence of Bessel–Fourier series on the disc. Comptes Rendus Mathématiques, 361, pp. 1075–1080 (2023)

3. Exploring convexity in normed spaces. American Mathematical Monthly, 132(4), pp. 291–302 (2025)

4. (with Andrew Rout) The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on T³. Discrete and Continuous Dynamical Systems, 48, pp. 376–403 (2006).

Preprints

• A partial converse to the Riemann–Lebesgue Lemma for Bessel–Fourier series of order zero (submitted). https://arxiv.org/abs/2410.17681

• (with J. C. Robinson) Lp continuity of eigenprojections for 2-d Dirichlet Laplacians under domain perturbations (submitted). https://arxiv.org/abs/2401.10066.

• (with Andrew Rout) The well-posedness and convergence of critical higher order Hartree equations (submitted). https://arxiv.org/abs/2503.18520