- David Tewodrose

Critical points of eigenvalue functionals

Thursday 7th December 2023, 3:30 pm – 4:30 pm

Fry Building, Room 2.04 - Amandine Escalier

Measure and orbit equivalence of graph products

Thursday 14th December 2023, 3:30 pm – 4:30 pm

Fry Building, 2.04

### Past Seminars:

- Sugata Mondal

Spectral instability of coverings

Thursday 30th November 2023 - Ilaria Mondello

Gromov-Hausdorff limits of manifolds with a Kato bound on the Ricci curvature

Thursday 23rd November 2023 - Euan Spence

Old and new bounds on Helmholtz and Maxwell solutions proved by integrating by parts

Thursday 16th November 2023 - Elefterios Soultanis

Curve fragments, plan-modulus duality, and differentiability of Lipschitz functions

Thursday 9th November 2023 - Jan Spakula

Some uniformly bounded boundary representations of hyperbolic groups

Thursday 2nd November 2023 - Ben Krause

90 years of pointwise ergodic theory

Thursday 26th October 2023 - Antoine Métras

Tubes in negatively curved manifold and Steklov eigenvalues

Thursday 19th October 2023 - Stuart White

(updated) Quasidiagonality and amenability

Thursday 12th October 2023 - Michael Dymond

Differentiability of typical Lipschitz mappings

Thursday 5th October 2023 - Maria del Mar Gonzalez

Spectral properties of Levy Fokker-Planck equations

Thursday 27th July 2023 - Adrián González-Pérez

Hörmander-Mikhlin conditions for Schur multipliers

Thursday 20th July 2023 - Alessandro Savo

The spectrum of the Laplacian, the Pompeiu problem and isoparametric foliations

Thursday 22nd June 2023 - Bruno Colbois

Geometric aspects of the ground state of magnetic Laplacians on domains of the plane

Wednesday 21st June 2023 - Matthew Hyde

Quantitative rectifiability in metric spaces

Thursday 25th May 2023 - Daniel Meyer

The solenoid, the Chamanary surface, and extension of rational maps

Thursday 11th May 2023 - Laura Monk

What does the spectral gap of a hyperbolic surface tell us?

Thursday 4th May 2023 - Iosif Polterovich

Pólya's eigenvalue conjecture: some recent advances

Thursday 27th April 2023 - Delio Mugnolo

Parabolic Equations, Spectral and Torsion Geometry of Quantum Graphs

Thursday 30th March 2023 - Romain Petrides

Existence of non planar free boundary minimal disks into ellipsoids

Thursday 23rd March 2023 - Sara Farinelli

Nodal domains of eigenfunctions in singular spaces with synthetic Ricci curvature bounds

Thursday 2nd March 2023 - Marco Michetti

Optimal bounds for Neumann eigenvalues in terms of the diameter

Thursday 23rd February 2023 - Wilhelm Klingenberg

A proof of the Toponogov Conjecture on complete surfaces

Thursday 9th February 2023 - Sugata Mondal

Some properties of Laplace eigenfunctions near the bottom of the spectrum

Thursday 26th January 2023 - Søren Mikkelsen

Optimal semiclassical spectral asymptotics

Thursday 8th December 2022 - Steven Flynn

Tensor Tomography on groups of Heisenberg-type

Thursday 17th November 2022 - Antoine Métras

Steklov eigenvalues optimisation on manifolds

Thursday 10th November 2022 - Mikhail Karpukhin

Harmonic maps and eigenvalue optimization in higher dimensions

Thursday 3rd November 2022 - Carlo Nitsch

On the solutions to p-Poisson equation with Robin boundary conditions when p goes to +∞

Wednesday 19th October 2022 - Cristina Trombetti

Comparison results for solutions to elliptic problems with mixed boundary conditions

Wednesday 19th October 2022 - David Bate

Characterising rectifiable metric spaces using tangent spaces

Thursday 13th October 2022 - Marco Marletta

The essential numerical range for unbounded linear operators and pencils

Thursday 6th October 2022 - Romain Tessera

Property T for bornological groups - note unusual time

Thursday 29th September 2022 - David Sher

Bessel function asymptotics and a conjecture of Pólya

Thursday 29th September 2022 - Hanne van den Bosch

Dirac operators describing Graphene Quantum Dots

Friday 16th September 2022 - Katie Gittins

Do the Hodge spectra distinguish orbifolds from manifolds?

Thursday 9th June 2022 - Dorin Bucur

Maximization of Neumann Eigenvalues

Wednesday 1st June 2022 - Michael Levitin

Pólya’s conjecture for the disk: a computer-assisted proof

Thursday 26th May 2022 - Norbert Peyerimhoff

Some applications of an improved Cheeger inequality

Thursday 19th May 2022 - David Ellis

Hypercontractivity on compact Lie groups, and some applications.

Thursday 12th May 2022 - Yujia Zhai

Singular Brascamp-Lieb integrals

Thursday 5th May 2022 - Mustafa Alper Gunes *Cancelled*

Thursday 28th April 2022 - Oussama Bensaid

Coarse embeddings and homological filling functions

Thursday 28th April 2022 - Carlo Nitsch *Cancelled*

Thursday 31st March 2022 - Cristina Trombetti *Cancelled*

Thursday 31st March 2022 - Laura Monk

Geometry and spectrum of random hyperbolic surfaces

Thursday 24th March 2022 - Enrico Le Donne

Nilpotent groups, biLipschitz embeddings into L^{1}, and sets of finite perimeter in Carnot groups **Unusual time**

Thursday 10th March 2022 - Mateus Sousa

Perturbations of interpolations formulas

Thursday 24th February 2022 - Jaume de Dios Pont

Decoupling, Cantor sets, and additive combinatorics

Thursday 17th February 2022 - Stephan Stadler

CAT(0) manifolds

Thursday 10th February 2022 - Urs Lang

A combinatorial higher rank hyperbolicity condition

Thursday 3rd February 2022 - Søren Fournais

The energy of the dilute Bose gas

Thursday 27th January 2022 - Katie Gittins *Postponed*

Thursday 16th December 2021 - Reuben Wheeler

The structure of the roots of real polynomials

Thursday 9th December 2021 - Odysseas Bakas

Multiplication between functions in H^1 and BMO: A dyadic approach

Thursday 2nd December 2021 - Constantin Bilz

Large sets without Fourier restriction theorems

Thursday 25th November 2021 - Jade Brisson

Tubular excision and Steklov eigenvalues

Thursday 18th November 2021 - Thomas Kappeler (Cancelled)

Thursday 4th November 2021 - Andrea Sartori

Asymptotic nodal length and log-integrability of toral eigenfunctions

Thursday 21st October 2021 - Jean Lagacé

Minimal surfaces, spectral geometry and homogenisation

Thursday 7th October 2021 - Dorin Bucur

Rigidity results for measurable sets

Thursday 30th September 2021 - David Croydon

Central limit theorem for the spectrum of a random fractal string

Thursday 17th June 2021 - Jun Kigami

Introduction to analysis on fractals

Thursday 22nd April 2021 - Christian Ketterer

Inscribed radius bounds for metric measure spaces with mean-H-convex boundary

Thursday 25th March 2021 - Saskia Roos

The Twist of the Free Fermion

Thursday 18th March 2021 - Theresa Anderson

Dyadic analysis (virtually) meets number theory

Thursday 4th March 2021 - Marcin Preisner

Hardy spaces and harmonic weights

Thursday 11th February 2021 - Sean Li

Quantitative rectifiability in Heisenberg groups

Thursday 28th January 2021 - Jonathan Eckhardt

Indefinite Krein strings and the conservative Camassa-Holm flow

Tuesday 19th January 2021 - Clara Aldana

Polyakov Formulas for conical singularities in two dimensions

Thursday 14th January 2021 - Felipe Goncalves

Sign Uncertainty

Thursday 17th December 2020 - Han Hong

Shape optimization of Steklov eigenvalues in higher dimensions

Thursday 10th December 2020 - David Sher

Inverse Steklov spectral problem for curvilinear polygons

Thursday 3rd December 2020 - Jean-Claude Cuenin

Spectral inequalities for Schrödinger operators with complex potentials

Thursday 26th November 2020 - Dimitrios Ntalampekos

Rigidity theorems for circle domains

Thursday 19th November 2020 - Ali Raad

On C*-algebras and their Cartan subalgebras

Thursday 12th November 2020 - Mikael de la Salle

Group actions on L_p spaces : dependence on p

Thursday 5th November 2020 - Sugata Mondal

Hot spots conjecture and critical points of Neumann eigenfunctions of polygonal planar domains

Thursday 29th October 2020 - Fahran Abedin

Hele-Shaw Flow and Parabolic Integro-Differential Equations

Thursday 22nd October 2020 - Angkana Rüland

Uniqueness, stability and single measurement recovery for the fractional Calderón problem

Thursday 15th October 2020 - Xiangdong Xie

Groups whose left invariant metrics are roughly similar

Thursday 8th October 2020 - Asma Hassannezhad

Eigenvalue bounds for the mixed Steklov problem on surfaces

Thursday 1st October 2020 - Katrin Fässler

Singular integrals on regular curves in the Heisenberg group

Thursday 11th June 2020 - Corentin Le Coz

Separation and isoperimetric profiles

Thursday 4th June 2020 - Ben Sharp

Bubbling and multiplicity analysis for CMC hypersurfaces

Thursday 28th May 2020 - Kevin Hughes

Smoothing properties of spherical maximal functions

Thursday 21st May 2020 - Monica Musso

Gluing methods for vortices in Euler equations

Thursday 14th May 2020 - Panos Papasoglu

Uryson width and volume

Thursday 7th May 2020 - Michael Levitin

Direct and inverse Steklov eigenvalue problem in curvilinear polygons

Thursday 30th April 2020 - Jens Marklof

Kinetic theory for the low-density Lorentz gas

Thursday 23rd April 2020 - Katie Gittins

*POSTPONED* Bounds for Steklov eigenvalues on submanifolds of Euclidean space with prescribed boundary

Thursday 26th March 2020 - Sabine Boegli

Schroedinger operator with non-zero accumulation points of complex eigenvalues

Thursday 5th March 2020 - Ari Laptev

On factorisation of a class of Schrödinger operators

Thursday 20th February 2020 - Heiko Gimperlein

The magnitude function and spectral geometry

Thursday 20th February 2020 - Lucas Ambrozio

Sharp inequalities relating volume and the min-max widths of Riemannian three-spheres

Thursday 13th February 2020 - Emily Dryden

Heat content of polygons

Thursday 6th February 2020 - Nicolas Dirr

Probability and Analysis in multi-scale systems

Thursday 30th January 2020 - Filippo Cagnetti

Optimal Lattice Quantizers and Best Approximation in the Wasserstein Metric

Thursday 23rd January 2020 - Karl-Mikael Perfekt

Plasmonic eigenvalue problem for corners

Thursday 19th December 2019 - Rhiannon Dougall

Measures on the boundary: an application to critical exponents of subgroups of groups acting on Gromov hyperbolic spaces, and amenability

Thursday 12th December 2019 - John Toland

Finitely Additive Measures and Weak Convergence in L-infinity

Thursday 5th December 2019 - Jeffrey Galkowski

The interior behavior of Steklov eigenfunctions

Thursday 21st November 2019 - Dmitry Jakobson

Zero and negative eigenvalues of conformally covariant operators, and nodal sets in conformal geometry

Thursday 14th November 2019 - Spyridon Dendrinos

On maximal functions associated to hypersurfaces in R^{3}with height less than 2

Thursday 7th November 2019 - Soren Mikkelsen

A semiclassical bound on certain commutators

Thursday 31st October 2019 - Alessio Martini

A Fourier integral operator approach to the sub-Riemannian wave equation

Thursday 24th October 2019 - Tom Carroll

Dynamics of weighted composition operators on the Fock space

Thursday 10th October 2019 - Gyula Csato

On fractional Sobolev, Isoperimetric and Poincaré inequalities - *Unusual time!*

Thursday 13th June 2019 - Jose Rodrigo

Results motivated by the the study of the evolution of isolated vortex lines for 3D Euler

Thursday 6th June 2019 - Tom Hutchcroft

Phase transitions in hyperbolic spaces

Thursday 30th May 2019 - Daniel Meyer

Quasispheres and Expanding Thurston maps

Thursday 23rd May 2019 - Emanuel Carneiro

Sobolev and BV regularity for maximal operators

Thursday 2nd May 2019 - Dorin Bucur

Quantitative isoperimetric inequalities for the Robin Laplacian

Thursday 25th April 2019 - Elia Fioravanti

Cross ratios on cube complexes and length-spectrum rigidity

Thursday 4th April 2019 - Ilaria Mondello

Synthetic Ricci lower bounds: new geometric examples

Thursday 28th March 2019 - Gabriel Pallier

On the large-scale sublinear geometry of Heintze spaces

Tuesday 19th March 2019 - Jonathan Hickman

On the convergence of Fourier integrals

Thursday 14th March 2019 - Cristina Benea

On some maximal multilinear operators

Thursday 7th March 2019 - Samuel Colvin

Minimising Hausdorff dimension under Hölder equivalence

Thursday 21st February 2019 - Davoud Cheraghi

Quasi-periodic dynamics in complex dimension one

Thursday 14th February 2019 - Jose Rodrigo

Results motivated by the the study of the evolution of isolated vortex lines for 3D Euler.

Thursday 7th February 2019 - Jose Rodrigo

*POSTPONED* Results motivated by the the study of the evolution of isolated vortex lines for 3D Euler

Thursday 7th February 2019 - Gerasim Kokarev

Conformal volume and eigenvalue bounds: the Korevaar method revisited

Thursday 31st January 2019 - Brian Cook

Equidistribution results for integral points on affine homogenous algebraic varieties.

Thursday 17th January 2019 - Bram Petri

Counting covers and subgroup growth

Thursday 20th December 2018 - Zane Li

A short proof of l^2 decoupling for the parabola

Tuesday 4th December 2018 - Maxime Fortier Bourque

Low index singularities of the systole function - Note Thursday!

Thursday 29th November 2018 - Sebastino Golo

Metric Lie groups and their dilations

Thursday 22nd November 2018 - Silouanos Brazitikos

Quantitative versions of Helly's theorem

Tuesday 13th November 2018 - Andrew Morris

The minimal regularity Dirichlet problem for elliptic PDEs beyond symmetric coefficients - Note Thursday!

Thursday 8th November 2018 - Alexander Girouard

The Steklov and Laplacian spectra of Riemannian manifolds with boundary

Tuesday 30th October 2018 - Frank den Hollander

Exploration on Dynamic Networks - Joint PAD seminar

Tuesday 23rd October 2018 - Francesco Della Pietra

Optimizing the first eigenvalue of some quasilinear operators with respect to boundary conditions

Tuesday 16th October 2018 - Sofia Ortega Castillo

Strong pseudoconvexity in Banach spaces

Tuesday 9th October 2018 - Guido Sweers

On a formula for sets of constant width in 2d

Tuesday 2nd October 2018 - Ana Vargas

The restriction of the Fourier transform to surfaces: the hyperbolic case

Tuesday 12th June 2018 - Dominik Gruber

The (non-)hyperbolic geometry of Gromov's monsters

Tuesday 5th June 2018 - Caroline Terry

A stable arithmetic regularity lemma in finite abelian groups

Tuesday 29th May 2018 - Masato Mimura

The space of marked groups and markings of finite groups

Tuesday 22nd May 2018 - Ken Stephenson

Conformal Tilings of the Plane: Foundations, Theory, and Practice

Tuesday 8th May 2018 - Ben Jaye

Reflectionless measures for singular integral operators - Note unusual time & date

Thursday 3rd May 2018 - Lucia Scardia

Equilibrium measures for nonlocal energies: The effect of anisotropy

Tuesday 1st May 2018 - Andrea Mondino

Some smooth applications of non-smooth Ricci curvature lower bounds

Tuesday 24th April 2018 - Marissa Loving Yu

Least dilatation of pure surface braids (NB: Unusual day & time!)

Thursday 19th April 2018 - Kajal Das

Invariance of conformal dimension under L^{p}-OE for some hyperbolic Coxeter groups

Tuesday 17th April 2018 - Arick Shao

On Geometric Carleman Estimates and Controllability of Waves

Monday 19th March 2018 - Hiroaki Aikawa

Capacitary width and its applications to parabolic and elliptic boundary behavior

Tuesday 13th March 2018 - Suresh Eswarathasan

$L^p$ restriction of eigenfunctions to random Cantor-type sets

Tuesday 6th March 2018 - Jonas Azzam

Absolute continuity and rectifiability of measures via Wasserstein distance

Tuesday 27th February 2018 - Dorin Bucur

Maximization of Neumann eigenvalues

Tuesday 20th February 2018 - Bruno Colbois – *Cancelled*

Geometrical aspects of the Steklov problem

Tuesday 30th January 2018 - Antoine Choffrut

Outlook on Lambda-convexity

Tuesday 23rd January 2018 - Stefan Steinerberger

Universal Limitations of Generalized Spherical Designs

Thursday 11th January 2018 - Jingyin Huang

The asymptotic geometry of 2-dimensional Artin groups

Tuesday 12th December 2017 - Andrea Mondino

*cancelled* Some smooth applications of non-smooth Ricci curvature lower bounds

Monday 11th December 2017 - Romain Tessera

A quantitative version of Gromov's theorem

Tuesday 5th December 2017 - Matías Carrasco Piaggio

Dimension drop of the harmonic measure for some hyperbolic random walks

Tuesday 28th November 2017 - Anna Siffert

Existence of metrics maximizing the first eigenvalue on closed surfaces

Tuesday 21st November 2017 - Veronique Fischer

Local and global symbols for operators on the torus and any compact Lie group

Tuesday 14th November 2017 - Juan Souto

Harmonic extensions of quasi-regular maps

Tuesday 7th November 2017 - Matteo Perugini

Rigidity of equality cases in perimeter inequality for spherical symmetrization

Tuesday 31st October 2017 - Viveka Erlandsson

Geodesic currents and counting curves

Tuesday 24th October 2017 - Bernd Kawohl

On buttons and balls that cannot run away

Monday 16th October 2017 - Stefan Buschenhenke

Non-linear Brascamp-Lieb inequalities

Tuesday 10th October 2017 - Nunzia Gavitone

On functionals involving the torsional rigidity related to some classes of nonlinear operators

Tuesday 3rd October 2017 - Holly Krieger

Height functions in complex dynamics

Monday 22nd May 2017