Probabilistic number theory
The Fyodorov-Hiary-Keating Conjecture on Mesoscopic Intervals, with Louis-Pierre Arguin.
(submitted)
Random matrix theory and free probability
Graph Expansions of Deep Neural Networks and their Universal Scaling Limits, with Nicola Muca Cirone and Cristopher Salvi.
(submitted)
A Fixed-Point Approach to Non-Commutative Central Limit Theorems
(submitted)
(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.
The Lattice of Arithmetic Progressions, with Marcel Goh and Jonah Saks.
Australasian Journal of Combinatorics 84, 357-374.
A Proletarian Approach to Generating Eigenvalues of GUE Matrices, with Luc Devroye.
(submitted)
Estimating Monotone Densities by Cellular Binary Trees, with Luc Devroye.
(submitted)
Collaborators: Louigi Addario-Berry, Louis-Pierre Arguin, Anna Brandenberger, Nicola Muca Çirone, Luc Devoyre, Marcel Goh, Céline Kerriou, Jonah Saks, Cristopher Salvi.
