Jad Hamdan

• 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.
  to appear in Annals of Probability, 2025.

• 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
  (submitted)

• 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.

• 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)