List of publications

• Appendix to Sums of Cusp Form Coefficients Along Quadratic Sequences, by C. I. Kuan, D. Lowry-Duda, and A. Walker,
• Kloosterman sums do not correlate with periodic functions, submitted,
• Chowla and Sarnak Conjectures for Kloosterman Sums, joint with E. H. El Abdalaoui and I. E. Shparlinski, submitted,
• Small diameters and generators for arithmetic lattices in $\mathrm{SL}_2(\mathbb{R})$ and certain Ramanujan graphs, The Ramanujan Journal (2023), journal link
• Theta functions, fourth moments of eigenforms, and the sup-norm problem II, joint with I. Khayutin and P. D. Nelson, submitted,
• Theta functions, fourth moments of eigenforms, and the sup-norm problem I, joint with I. Khayutin, submitted,
• Sup-norm of Hecke-Laplace Eigenforms on S^3, Mathematische Annalen 377 (2020), journal link
• The harmonic conjunction of automorphic forms and the Hardy-Littlewood circle method, Ph.D. Thesis, University of Bristol, EThOS link
• On a twisted version of Linnik and Selberg’s conjecture, Mathematika 65 (2019), 437-474, journal link
• A conjectural extension of Hecke's converse theorem, joint with S. Bettin et al., The Ramanujan Journal 47 (2018), journal link
• Twisted Linnik implies optimal covering exponent for $S^3$, joint with T. Browning and V. Kumaraswamy, International Mathematics Research Notices, Vol. 2019, Issue 1, journal link
• Near Counterexamples to Weil's Converse Theorem, Journal de Théorie des Nombres de Bordeaux, Vol. 31, No. 2 (2019), 313-321, journal link
• Effective Vinogradov's mean value theorem via efficient boxing, Journal of Number Theory 204 (2019), 354-404, journal link
• Supnorm of Modular Forms of half-integral Weight in the Weight Aspect, Acta Arithmetica 177 (2017), 201-218, journal link
• Uniform bounds on sup-norms of holomorphic forms of real weight, Int. J. Number Theory 12 (2016), 1163-1185, journal link