Publications

Recent group publications

Low moments of Hecke eigenvalue sums

Authors: Jad Hamdan, Sun-Kai Leung, Mo Dick Wong
Last updated: 14 September 2026
https://arxiv.org/abs/2609.15937v1

Bernoulli flow for Erdős-Rényi graphs

Authors: Joscha Henheik, Antti Knowles
Last updated: 14 September 2026
https://arxiv.org/abs/2609.15566v1

Solving the Nonlinear Vlasov Equation on a Quantum Computer

Authors: Tamás Vaszary, Animesh Datta, Tom Goffrey, Brian Appelbe
Last updated: 3 September 2026
https://arxiv.org/abs/2411.19310v3

Reflections on time-reversal in the Symmetry Topological Field Theory

Authors: Lea E. Bottini, Nick G. Jones
Last updated: 24 August 2026
https://arxiv.org/abs/2603.26884v2

Matrix-product operator dualities in integrable lattice models

Authors: Yuan Miao, Andras Molnar, Nick G. Jones
Last updated: 29 July 2026
https://arxiv.org/abs/2602.17436v2

Anomalous rate of eigenstate thermalisation at singularities of the density of states

Authors: László Erdős, Joscha Henheik, Volodymyr Riabov
Last updated: 20 July 2026
https://arxiv.org/abs/2607.03546v2

Spectral rigidity of two-dimensional Liouville tori

Authors: Joscha Henheik, Vadim Kaloshin, Yunzhe Li, Amir Vig
Last updated: 17 July 2026
https://arxiv.org/abs/2511.10398v2

On a Rosenzweig-Porter-type model

Authors: Giorgio Cipolloni, László Erdős, Joscha Henheik
Last updated: 13 July 2026
https://arxiv.org/abs/2607.02446v2

Matrix-product state skeletons in Onsager-integrable quantum chains

Authors: Imogen Camp, Nick G. Jones
Last updated: 18 June 2026
https://arxiv.org/abs/2511.07212v2

Lecture hall graphs and the Askey scheme

Authors: Sylvie Corteel, Bhargavi Jonnadula, Jonathan P. Keating, Jang Soo Kim
Last updated: 26 May 2026
https://arxiv.org/abs/2311.12761v3

Unifying Low Dimensional Spectra in Deep Learning

Authors: Connall Garrod, Jonathan P. Keating
Last updated: 26 May 2026
https://arxiv.org/abs/2404.06106v3

The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals

Authors: Louis-Pierre Arguin, Jad Hamdan
Last updated: 25 May 2026
https://arxiv.org/abs/2405.06474v2

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes

Authors: Connall Garrod, Jonathan P. Keating, Christos Thrampoulidis
Last updated: 21 May 2026
https://arxiv.org/abs/2605.23087v1

When Stronger Triggers Backfire: A High-Dimensional Theory of Backdoor Attacks

Authors: Donald Flynn, Hadas Yaron Goldhirsh, Jonathan P. Keating, Inbar Seroussi
Last updated: 21 May 2026
https://arxiv.org/abs/2605.22481v1

Textured phase diagrams of featureless insulators

Authors: Sashank Singam, Nick G. Jones, Abhishodh Prakash
Last updated: 19 May 2026
https://arxiv.org/abs/2605.20339v1

Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function

Authors: Louis-Pierre Arguin, Emma Bailey, Asher Roberts
Last updated: 28 April 2026
https://arxiv.org/abs/2604.25579v1

Partial sums of random multiplicative functions with supercritical divisor twists

Authors: Jad Hamdan
Last updated: 7 April 2026
https://arxiv.org/abs/2604.05563v1

A fixed-point approach to non-commutative central limit theorems

Authors: Jad Hamdan
Last updated: 27 March 2026
https://arxiv.org/abs/2305.06960v7

On the Fourier coefficients of critical Gaussian multiplicative chaos

Authors: Louis-Pierre Arguin, Jad Hamdan
Last updated: 13 March 2026
https://arxiv.org/abs/2510.24424v2

Eigenvector decorrelation for random matrices

Authors: Giorgio Cipolloni, László Erdős, Joscha Henheik, Oleksii Kolupaiev
Last updated: 2 March 2026
https://arxiv.org/abs/2410.10718v3

Lower bounds for the large deviations and moments of the Riemann zeta function on the critical line

Authors: Louis-Pierre Arguin, Nathan Creighton
Last updated: 2 March 2026
https://arxiv.org/abs/2603.01711v1

Uniform-in-temperature locality estimates for weakly interacting quantum systems

Authors: Arka Adhikari, Joscha Henheik, Marius Lemm, Tom Wessel
Last updated: 20 January 2026
https://arxiv.org/abs/2508.15907v2

A Linear Approach to Data Poisoning

Authors: Donald Flynn, Diego Granziol
Last updated: 5 January 2026
https://arxiv.org/abs/2505.15175v3

Normal Typicality and Dynamical Typicality for a Random Block-Band Matrix Model

Authors: László Erdős, Joscha Henheik, Cornelia Vogel
Last updated: 20 December 2025
https://arxiv.org/abs/2506.17177v2

Diagonalizing the Softmax: Hadamard Initialization for Tractable Cross-Entropy Dynamics

Authors: Connall Garrod, Jonathan P. Keating, Christos Thrampoulidis
Last updated: 3 December 2025
https://arxiv.org/abs/2512.04006v1

Charge pumps, pivot Hamiltonians and symmetry-protected topological phases

Authors: Nick. G. Jones, Ryan Thorngren, Ruben Verresen, Abhishodh Prakash
Last updated: 20 October 2025
https://arxiv.org/abs/2507.00995v2

The Persistence of Neural Collapse Despite Low-Rank Bias

Authors: Connall Garrod, Jonathan P. Keating
Last updated: 5 October 2025
https://arxiv.org/abs/2410.23169v2

Law of fractional logarithm for random matrices

Authors: Zhigang Bao, Giorgio Cipolloni, László Erdős, Joscha Henheik, Oleksii Kolupaiev
Last updated: 1 October 2025
https://arxiv.org/abs/2503.18922v2

Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic Groups

Authors: Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating, Fei Wei
Last updated: 18 September 2025
https://arxiv.org/abs/2508.09910v2

Decorrelation transition in the Wigner minor process

Authors: Zhigang Bao, Giorgio Cipolloni, László Erdős, Joscha Henheik, Oleksii Kolupaiev
Last updated: 15 September 2025
https://arxiv.org/abs/2503.06549v4

Particle systems and the supercooled Stefan problem with non-integrable initial data

Authors: Thomas Blore, D. G. M Flynn, Ben Hambly
Last updated: 22 July 2025
https://arxiv.org/abs/2507.16703v1

Upper tail distributions of central $L$-values of quadratic twists of elliptic curves at the variance scale

Authors: N. Creighton
Last updated: 11 July 2025
https://arxiv.org/abs/2507.08640v1

Mind the Gap: a Spectral Analysis of Rank Collapse and Signal Propagation in Attention Layers

Authors: Thiziri Nait Saada, Alireza Naderi, Jared Tanner
Last updated: 16 June 2025
https://arxiv.org/abs/2410.07799v3

Genus expansion for non-linear random matrix ensembles with applications to neural networks

Authors: Nicola Muca Cirone, Jad Hamdan, Cristopher Salvi
Last updated: 13 May 2025
https://arxiv.org/abs/2407.08459v5

Density estimation using cellular binary trees and an application to monotone densities

Authors: Luc Devroye, Jad Hamdan
Last updated: 22 April 2025
https://arxiv.org/abs/2203.08006v2

A note on the exact simulation of a random eigenvalue of a GUE matrix

Authors: Luc Devroye, Jad Hamdan
Last updated: 25 March 2025
https://arxiv.org/abs/2304.03741v3

Pivoting through the chiral-clock family

Authors: Nick G. Jones, Abhishodh Prakash, Paul Fendley
Last updated: 18 March 2025
https://arxiv.org/abs/2406.01680v2

Classical origins of Landau-incompatible transitions

Authors: Abhishodh Prakash, Nick G. Jones
Last updated: 7 March 2025
https://arxiv.org/abs/2404.19009v2

A simple proof of almost sure convergence for the largest singular value of a product of Gaussian matrices

Authors: Thiziri Nait Saada, Alireza Naderi
Last updated: 5 March 2025
https://arxiv.org/abs/2409.20180v2

How a Space-Time Singularity Helps Remove the Ultraviolet Divergence Problem

Authors: Joscha Henheik, Bipul Poudyal, Roderich Tumulka
Last updated: 28 February 2025
https://arxiv.org/abs/2409.00677v2

Eigenstate thermalisation at the edge for Wigner matrices

Authors: Giorgio Cipolloni, László Erdős, Joscha Henheik
Last updated: 17 December 2024
https://arxiv.org/abs/2309.05488v4

Carleman Linearization of Partial Differential Equations

Authors: Tamas Vaszary
Last updated: 14 November 2024
https://arxiv.org/abs/2412.00014v1

Cusp Universality for Correlated Random Matrices

Authors: László Erdős, Joscha Henheik, Volodymyr Riabov
Last updated: 3 November 2024
https://arxiv.org/abs/2410.06813v2

Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem

Authors: Louis-Pierre Arguin, Emma Bailey
Last updated: 29 October 2024
https://arxiv.org/abs/2403.19803v2

Multi-band superconductors have enhanced critical temperatures

Authors: Joscha Henheik, Edwin Langmann, Asbjørn Bækgaard Lauritsen
Last updated: 21 October 2024
https://arxiv.org/abs/2409.17297v2

Exchangeable arrays and integrable systems for characteristic polynomials of random matrices

Authors: Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating, Fei Wei
Last updated: 14 October 2024
https://arxiv.org/abs/2407.19233v3

Response theory for locally gapped systems

Authors: Joscha Henheik, Tom Wessel
Last updated: 14 October 2024
https://arxiv.org/abs/2410.10809v1