Research:
Low moments of sums of extended Rademacher random multiplicative functions, with Christopher Atherfold and Maxim Gerspach.
(available upon request)Low moments of Hecke eigenvalue sums, with Sun-Kai Leung and Mo Dick Wong.
Partial sums of random multiplicative functions with supercritical divisor twists.
(submitted)On the Fourier coefficients of critical Gaussian multiplicative chaos, with Louis-Pierre Arguin.
(submitted)The Fyodorov-Hiary-Keating conjecture on mesoscopic intervals, with Louis-Pierre Arguin.
The Annals of Probability, 54(5):2173–2215, 2026.Genus expansion for non-linear random matrix ensembles with applications to neural networks, with Nicola Muca Cirone and Cristopher Salvi.
(submitted)A fixed-point approach to non-commutative central limit theorems,
Archiv der Mathematik, 127, 305–321, 2026.
(Undergraduate work)
Universal height and width bounds for random trees, with Louigi Addario-Berry, Anna Brandenberger and Celine Kerriou.
Electronic Journal of Probability 27, 1–24, 2022.The lattice of arithmetic progressions, with Marcel Goh and Jonah Saks.
Australasian Journal of Combinatorics 84, 357–374, 2022.A note on the exact simulation of a random eigenvalue of a GUE matrix, with Luc Devroye.
Statistics and Probability Letters, 230:110736, 2026.Density estimation using cellular binary trees and an application to monotone densities, with Luc Devroye.
Chapter in Information Theory, Probability and Statistical Learning: A Festschrift in Honor of Andrew Barron, Ioannis Kontoyiannis, Jason Klusowski, Cynthia Rush eds., Springer, to appear, 2025.
Collaborators: Louigi Addario-Berry, Louis-Pierre Arguin, Anna Brandenberger, Nicola Muca Çirone, Luc Devroye, Marcel Goh, Céline Kerriou, Jonah Saks, Cristopher Salvi.
Talks:
The phases of Gaussian multiplicative chaos, and some number-theoretic implications, Workshop on Random Matrices and Integrability, The Queen's College, Oxford (09/2026)
Partial sums of random multiplicative functions associated to supercritical multiplicative chaos, CRM Probability in Number Theory Thematic Program Seminar, University of Montreal (05/2026)
A simple proof of Helson's conjecture, and some generalisations, Junior Number Theory Seminar, University of Warwick (03/2026)
A simple proof of Helson's conjecture, and some generalisations, Linfoot Number Theory Seminar, University of Bristol (03/2026)
A simple proof of Helson's conjecture, and some generalisations, Number Theory Seminar, University of Göttingen (02/2026)
The Riemann zeta function and logarithmically correlated fields, Probability Seminar, University of Warwick (10/2025)
The Riemann zeta function and logarithmically correlated fields, Informal Probability Seminar, Courant Institute (NYU) (09/2025)
The logarithm of the Riemann zeta function on short intervals gives rise to a branching random walk, Mathematical Physics Seminar, University of Bristol (02/2025)
The logarithm of the Riemann zeta function on short intervals gives rise to a branching random walk, Probability Seminar, University of Oxford (02/2025)
Genus expansion in non-linear random matrix theory, XX Brunel-Bielefeld Workshop on Random Matrix Theory and Applications, Brunel University London (poster) (12/2024)
Genus expansion in non-linear settings, Probability and Applications Seminar, Queen Mary University of London (12/2024)
Graph expansions of deep neural networks and their universal scaling limits, Recent developments beyond classical regimes in statistical learning, CIMI Toulouse (11/2024)
A fixed-point approach to non-commutative central limit theorems, Probabilistic Operator Algebras Seminar, UC Berkeley (online) (04/2024)