*Organiser*: Thomas Bothner

- Alexander Its

Operator Valued Riemann-Hilbert Problems. Then and Now.

Friday 9th December 2022, 1:45 pm – 3:30 pm

Fry Building, 2.04 - Ken McLaughlin

Friday 16th December 2022, 1:45 pm – 3:30 pm

Fry Building, 2.04

### Past Seminars:

- Alexander Tovbis

On spectral theory of soliton gases for integrable equations

Friday 2nd December 2022 - Ken McLaughlin (Royal Society Wolfson Professor)

Ancient and modern approaches to the asymptotic analysis of integrals of the form $e^{-n\phi(s)} ds$, using the example of Stirling’s formula

Friday 2nd December 2022 - Harini Desiraju

Gaussian multiplicative chaos measures, Painlevé equations, and conformal blocks

Friday 25th November 2022 - Peter Miller – Leverhulme Lecture 3

Invariant Ensembles and Orthogonal Polynomials III

Friday 25th November 2022 - Bing-Ying Lu

Soliton resolution and asymptotic stability for the sine-Gordon equation

Wednesday 23rd November 2022 - Aaron Conlon

Compatibility of Braiding and Fusion on Wire Networks

Friday 18th November 2022 - Peter Miller – Leverhulme Lecture 2

Invariant Ensembles and Orthogonal Polynomials II

Friday 18th November 2022 - Peter Miller – Leverhulme Seminar

Dispersive Shock Waves in the Benjamin-Ono Equation

Friday 11th November 2022 - Emma Bailey

Large deviations of random matrix and number theoretic central limit theorems

Friday 4th November 2022 - Peter Miller – Leverhulme Lecture 1

Invariant Ensembles and Orthogonal Polynomials I

Friday 4th November 2022 - Ana Loureiro

A promenade on r-fold symmetric multiple orthogonal polynomials

Friday 28th October 2022 - Joakim Cronvall

Two-dimensional Coulomb gases: Off-diagonal boundary universality

Friday 21st October 2022 - Eduardo Chavez Heredia

Degenerate orthogonal polynomials and the Stieltjes-Fekete equilibrium problem

Friday 14th October 2022 - Thomas Kriecherbauer

Korteweg-de Vries, Painlevé, and Riemann-Hilbert

Friday 7th October 2022 - Guilherme Silva

Multiplicative statistics for random matrices and the integro-differential Painlevé II

Friday 30th September 2022 - Alexander Its (Royal Society Wolfson Professor)

Special functions, Riemann-Hilbert problems, and random matrices

Friday 30th September 2022 - Eugene Bogomolny

Statistical properties of quantum barrier billiards

Tuesday 12th July 2022 - Jon Harrison

Periodic orbit evaluation of a spectral statistic of quantum graphs without the semiclassical limit

Friday 17th June 2022 - Haakan Hedenmalm

Soft Riemann-Hilbert problems and planar orthogonal polynomials

Friday 13th May 2022 - Sofia Tarricone

Janossy densities of the thinned Airy point process: the Schröedinger and KdV equations

Friday 6th May 2022 - Seminar cancelled

Friday 29th April 2022 - Nick Jones

Integrable spin chains and the Clifford group

Friday 22nd April 2022 - Tatyana Shcherbyna

Supersymmetric approach to the deformed Ginibre ensemble

Friday 25th March 2022 - Yan Fyodorov

Studying Landscape Topology Trivialization in High-Dimensional Random Systems

Friday 18th March 2022 - Oleg Zaboronski

Probabilistic methods for the asymptotic analysis of Fredholm Determinants and Pfaffians

Friday 11th March 2022 - Peter Miller

Universal Wave Patterns

Friday 4th March 2022 - Sunil Chhita

GOE Fluctuations for the maximum of the top path in ASMs

Friday 25th February 2022 - Matteo Parisi

Amplituhedra, Scattering Amplitudes and Triangulations

Friday 18th February 2022 - Boris Khoruzhenko

Eigenvalues of truncated unitary symplectic matrices

Friday 11th February 2022 - Costanza Benassi

Random matrix models, integrable lattices and thermodynamic limit

Friday 4th February 2022 - Uzy Smilansky

Can one hear a real symmetric matrix?

Friday 10th December 2021 - Nicholas Simm

Fluctuations and correlations for real eigenvalues of random matrix products

Friday 3rd December 2021 - Gregory Schehr

Random matrices meet trapped fermions

Friday 26th November 2021 - Hugo Duminil-Copin

Emerging symmetries in 2D percolation

Friday 19th November 2021 - Andrei Martinez-Finkelshtein

Multi-applications of multi-orthogonality

Friday 12th November 2021 - Vadim Gorin

Cointegration, S&P, and random matrices

Friday 5th November 2021 - Mark Mezei

On the Volume of the Black Hole Interior

Friday 29th October 2021 - Sabine Jansen

Towards phase transitions for interacting particles in R^d

Friday 15th October 2021 - Gregory Berkolaiko

Towards Morse theory of dispersion relations

Friday 8th October 2021 - Kristina Schubert

Spacings in Random Matrix Theory and Repulsive Particle Systems

Friday 1st October 2021 - Thomas Bothner

Momenta spacing distributions in anharmonic oscillators

Friday 7th May 2021 - Theo Assiotis

Moments of moments of random matrices: A combinatorial approach

Friday 30th April 2021 - Oleg Lisovyi

From Painlevé III to Mathieu equation and back again

Friday 23rd April 2021 - Apala Majumdar

A survey of solution landscapes for confined nematic systems

Friday 26th March 2021 - Alex Little

Products of random matrices and their real eigenvalues

Friday 19th March 2021 - Anke Pohl

Resonances of Schottky surfaces

Friday 5th March 2021 - Jeremiah Buckley

An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process

Friday 26th February 2021 - Joost Slingerland

Particles between 1D and 2D: Anyons, fusion rings and graphs

Friday 19th February 2021 - Berislav Buca

Non-stationary quantum many-body dynamics: chaos, conservation laws and dynamical symmetries

Friday 12th February 2021 - Amol Aggarwal

Spectral Statistics of Lévy Matrices

Friday 5th February 2021 - Dan Speed

Beyond Gaussian Channels: A model case

Friday 29th January 2021 - Beatrice Pelloni

The phenomenon of dispersive revivals

Friday 11th December 2020 - Nalini Anantharaman

The bottom of the spectrum of a random hyperbolic surface

Friday 4th December 2020 - Mirjam Weilenmann

Quantum preparation games

Friday 27th November 2020 - Douglas Lundholm

Exchange and exclusion in the non-abelian anyon gas

Friday 20th November 2020 - Gernot Akemann

Planar orthogonal polynomials and random matrices: Examples for local and global universality

Friday 13th November 2020 - Gregor Tanner

Sound radiation from vibrating plates – a classical phase space approach

Friday 6th November 2020 - Dan Betea

Three results in directed last passage percolation

Friday 30th October 2020 - Tomaž Prosen

Exactly solved models of many-body quantum chaos

Friday 23rd October 2020 - Emilia Alvarez

Moments of the logarithmic derivative of characteristic polynomials from SO(N) and USp(2N)

Friday 16th October 2020 - Nick P Baskerville

Using random matrix theory to study the loss surfaces of neural networks with general activation functions

Friday 9th October 2020 - Tomasz Maciazek

Deriving ansatz wave functions for ground states of multi electron systems from extremal single particle information

Friday 2nd October 2020 - Seminar cancelled

Friday 19th June 2020 - Joseph Malkoun

From the Berry-Robbins problem to the Atiyah-Sutcliffe conjectures and a Lie-theoretic generalization

Friday 12th June 2020 - Alisa Knizel

Invariant measure for the open KPZ equation

Friday 29th May 2020 - Eva-Maria Graefe

A non-Hermitian PT-symmetric kicked top

Friday 15th May 2020 - Thomas Machon

Topological Vorticity Compression in Ideal Fluids

Friday 1st May 2020 - Simon Ross

Complexity and spacetime

Friday 24th April 2020 - Costanza Benassi

Thermodynamic Limit and Dispersive Regularisation in Matrix Models

Friday 27th March 2020 - Seminar Cancelled

Friday 20th March 2020 - Seminar Cancelled

Friday 13th March 2020 - Yang Chen

Smallest Eigenvalue of Large Hankel Matrices at Critical Point: How small is small?

Friday 21st February 2020 - Rémy Dubertrand

Many-body semiclassics for Bose-Hubbard: spectral statistics and random wave approach

Friday 14th February 2020 - Arijeet Pal

Scale Invariant Entanglement Negativity at the Many-Body Localization Transition

Friday 7th February 2020 - Adam Sawicki

Connecting unitary t-designs and epsilon-nets

Friday 31st January 2020 - Felix Flicker

Classical Dimers on Penrose Tilings

Friday 10th January 2020 - Michael Berry

Geometry of 3D monochromatic light

Friday 20th December 2019 - Henrik Ueberschär

On the random wave conjecture for Seba's billiard

Friday 13th December 2019 - Marta Mazzocco

Stokes phenomenon as confluence of regular behaviour

Friday 6th December 2019 - Michael Farber

Motion planning in configuration spaces

Friday 29th November 2019 - Alexey Bufetov

Color-position symmetry in interacting particle systems

Friday 22nd November 2019 - Martin Richter

A microwave realization of the chiral orthogonal, unitary, and symplectic ensembles

Friday 15th November 2019 - Seminar cancelled

Friday 8th November 2019 - Alfredo Deaño

Painlevé equations and non-Hermitian random matrix ensembles

Friday 1st November 2019 - Jens Bolte

Interacting many-particle quantum graphs

Friday 25th October 2019 - Lorenzo Federico

Critical Scaling Limit of the Random Intersection Graph

Friday 18th October 2019 - Mike Blake

Hydrodynamics and Chaos in Quantum Matter

Friday 11th October 2019 - Chiara Cammarota

Rough-glassy landscapes from inference to machine learning

Friday 4th October 2019 - Ines Aniceto

From asymptotics to exact results: Painlevé I and Large-N phase transitions

Friday 20th September 2019 - Mathematical Physics Student Talks

Student Talks

Friday 7th June 2019 - Timo Seppäläinen (probability seminar)

Geometry of the corner growth model

Friday 31st May 2019 - Jon Harrison

Spectral properties of quantum graphs with symmetry

Friday 31st May 2019 - Alex Watson

Wave-packet dynamics in locally periodic media

Friday 17th May 2019 - Joseph Indekeu

Solving nonlinear differential equations by analytic iteration.

Friday 10th May 2019 - Charlie Johnson

Generalised Time-Reversal Symmetries on Quantum Graphs

Friday 5th April 2019 - Varsha Banerjee

Coarsening in Disordered Dipolar Magnets

Friday 29th March 2019 - Tomasz Maciążek

Non-abelian anyons on graphs

Friday 22nd March 2019 - Tim Rogers

Spectra of Sparse Non-Hermitian Random Matrices

Friday 15th March 2019 - Sven Gnutzmann

Nonlinear Quantum Graphs: Canonical Perturbation Approach to Stationary Waves

Wednesday 13th March 2019 - Marcus Appleby

From Quantum Probabilities to Hilbert’s Twelfth Problem

Friday 1st March 2019 - Thomas Bothner

The Ising model from 1920 to 2019

Friday 22nd February 2019 - Emma Bailey

Moments of moments

Friday 15th February 2019 - Alexander Ossipov

Scattering approach to Anderson localisation

Friday 8th February 2019 - Fabio Cunden

Some new perspectives on moments of random matrices

Friday 1st February 2019 - Zeev Rudnick

Primes and Lattice Points.

Friday 25th January 2019 - Márton Balázs (joint with probability)

Jacobi triple product via the exclusion process

Friday 14th December 2018 - Anna Maltsev

Covariance formulas for fluctuations of linear spectral statistics for Wigner matrices with few moments

Friday 7th December 2018 - David Brydges (joint with probability)

Lace Expansions

Friday 30th November 2018 - Alexei A. Mailybaev

Spontaneously stochastic solutions from singularities in differential equations

Monday 26th November 2018 - Asma Hassannezhad

Geometric lower bounds for Steklov eigenvalues

Friday 23rd November 2018 - Uzy Smilansky

Spectral statistics in the ensemble of quantum graphs with permuted edge-lengths and its RMT analogue

Friday 16th November 2018 - Jürg Fröhlich

Gauge Theory of States of Matter

Friday 2nd November 2018 - Konstantinos Meichanetzidis

Evaluating the Jones polynomial with tensor networks

Friday 26th October 2018 - Ingmar Saberi

Nilpotence varieties

Friday 19th October 2018 - Julia Yeomans

Topological Defects in Active Matter

Friday 12th October 2018 - Joseph Najnudel (joint with probability)

On unitarily invariant ensembles of infinite Hermitian matrices

Friday 5th October 2018 - Francesco Mezzadri

Moments of Random Matrices and Hypergeometric Orthogonal Polynomials

Friday 28th September 2018 - Matthias Täufer

Wegner estimate for the random breather model

Friday 22nd June 2018 - Thomas Dittrich

Systems in confined spaces: challenge for semiclassical propagation in phase space

Tuesday 19th June 2018 - Gregor Tanner

Elastodynamics on Graphs

Friday 1st June 2018 - Student talks day

Friday 25th May 2018 - Nalini Anantharaman

Quantum ergodicity on graphs : from spectral to spatial delocalization

Wednesday 23rd May 2018 - Nick Jones

Asymptotic correlations in gapped and critical topological quantum chains

Friday 18th May 2018 - Eva-Maria Graefe

PT-symmetric random matrix ensembles using split-quaternonic numbers

Friday 11th May 2018 - Jon Keating

Moments and divisor correlations

Friday 4th May 2018 - Zlatko Papic

Quantum many-body scars (Note unusual place/time)

Wednesday 25th April 2018 - Jonathan Robbins

Asymptotics of Landau-de Gennes theory

Friday 20th April 2018 - Sasha Sodin (PAD conference)

Non-Hermitian random Schroedinger operators

Friday 6th April 2018 - Eugene Bogomolny

Graduate student seminar: Functions, hypergeometric, elliptic and Painlevé

Friday 6th April 2018 - Eugene Bogomolny

Eigenfunction multifractality in simple systems (rescheduled)

Monday 19th March 2018 - Theodoros Assiotis

Determinantal structures in (2+1)-dimensional growth and decay models.

Friday 16th March 2018 - Mostafa Sabri

Recent results of quantum ergodicity on graphs

Friday 9th March 2018 - Maram Akila

Getting a Foot into Many-Body Quantum Chaos

Friday 23rd February 2018 - Mikaela Iacobelli

Recent results on quasineutral limit for Vlasov-Poisson via Wasserstein stability estimates

Friday 16th February 2018 - Dmitry Savin

Fluctuations in scattering on a simple mode with a complex environment

Friday 9th February 2018 - Francesco Mezzadri

Free Fermions and the Classical Compact Groups

Friday 2nd February 2018 - Patrick Gérard

A review of the cubic Szegö equation

Friday 26th January 2018 - Guillaume Remy

The Fyodorov-Bouchaud formula and Liouville conformal field theory

Friday 19th January 2018 - Roland Bauerschmidt (extra listing)

Eigenvectors and spectral measure of random regular graphs of fixed degree

Friday 1st December 2017 - Ruben Verresen

Topology and Quantum Criticality: their interplay in one dimension

Friday 24th November 2017 - Mylène Maïda

Concentration for Coulomb gases and Coulomb transport inequalities

Friday 17th November 2017 - Aurore Loisy

Negative apparent viscosities, non-monotonic flow curves and multiple mechanical equilibria in the rheology of active suspensions

Friday 10th November 2017 - Robert MacKay

Towards a spectral proof of Riemann’s hypothesis

Friday 27th October 2017 - Keith Ball

Rational approximations to zeta

Friday 20th October 2017 - Benjamin Bode

Constructing knotted fields - Joint seminar with Theoretical Physics

Friday 13th October 2017 - Felix Flicker

Time Quasicrystals in Dissipative Dynamical Systems

Friday 29th September 2017 - Semyon Dyatlov

Fractal uncertainty principle

Friday 23rd June 2017 - Robert Seiringer

Stability of quantum many-body systems with point interactions

Friday 19th May 2017