Analysis seminar

This series of lectures is partially supported by the COST action Mathematical models for interacting dynamics on networks.

Date Speaker Title
2026-05-19, 11:00 am Jiawei Cheng (Fudan University, Shanghai)

Decay estimates for dispersive equations on the lattice graph

If you are interested in attending the talk, message Prof. Mugnolo.

2026-04-30, 4:00 pm Charles Emmet Maher (University of North Carolina at Chapel Hill)

Probing the influence of topological and geometric disorder on the spectrum of the differential Laplacian operator on networks

If you are interested in attending the talk, message Prof. Mugnolo.

2026-03-31, 3:00 pm Kiyan Naderi (Innsbruck, Austria)

Optimal eigenvalues on metric graphs

If you are interested in attending the talk, message Prof. Mugnolo.

2026-02-18, 3:00 pm Andrea Pinamonti (Trento, Italy)

A gentle introduction to Sub-Riemannian geometry

If you are interested in attending the talk, message Prof. Mugnolo.

Link zum Video

Slides

2025-09-15 + 16 + 17, 10:30 am Xi Chen (Basel, Schweiz)

Gerard-type explicit formulas and their applications,

Part I Link zum Video

Part II Link zum Video

Part III Link zum Video

2025-06-21, 09:15 am Valentina Vetturi (Bari, Italien)

Research as Performance

If you are interested in attending the talk, message Prof. Mugnolo.

2025-05-21, 2:00 pm

Illia Karabash (Universität Bonn)

High-Q resonances and optimal control

Link to the video

2025-05-08, 3:00 pm Bingying Lu (FernUniversität in Hagen)

Toda lattice, integrability and dispersive shock waves

Link to the video

2025-04-02, 4:00 pm Christopher Cedzich (Universität Düsseldorf) Twenty dry Martinis for the Unitary Almost Mathieu Operator
2024-12-03, 1:30 pm Christian Rose (Universität Potsdam)

Gaussian upper heat kernel bounds and its characterizations on graphs

Slides

2024-11-21, 3:00 pm José Mazón (Universitat de Valencia)

Gelfand-Type problems in Random Walk Spaces

2024-07-24, 2:30 pm Sedef Özcan (Dokuz Eylül University, Izmir, Turkey)

Torsional Rigidity for the Laplacian on compact metric graphs with delta-Couplings

Link to the video

2024-07-17, 2:30 pm Burat Hikmet Özcan (Izmir Institute of Technology, Turkey)

Hardy-Littlewood Maximal Function: Structural Results and Regularity Properties

Link to the video

2024-07-09, 3:30 pm Catherine Drysdale (University of Birmingham, UK)

Computing Spectra of Infinite-dimensional operators - what do we need?

Link to the video

2024-07-02, 2:30 pm François Willot (Université PSL)

Homogenized metrics in planar, multiscale random sets

Link to the video

2024-06-24, 2:30 pm Asma Hassannezhad (Bristol)

Steklov eigenvalues of hyperbolic surfaces with geodesic boundary

Link to the video

2024-06-04, 2:30 pm Maria Bruna (Cambridge)

Lane formation and aggregation spots in foraging ants

Link to the video

2024-05-29, 2:30 pm Setenay Akduman (İzmir Democracy University)

Nonlinear Schrödinger Equation on Infinite Metric Graphs

Link to the video

2024-05-15, 2:30 pm Patricia Alonso Ruiz (Texas A&M)

Where could p-energies come from? On a quest to find them in Cheeger spaces

Link to the video

2024-05-02, 2:30 pm Luca Fanelli (Ikerbasque, Bilbao)

Scattering in the energy space for the 2D defocusing nonlinear Klein-Gordon equation with a magnetic field

Link to the video

2024-04-24, 3:30 pm Wolfgang König (TU Berlin)

Off-diagonal long-range order for the free Bose gas via the Feynman-Kac formula

Link to the video

2024-04-03, 4:00 pm Eva Kopfer (Universität Bonn)

Conformally Invariant Random Geometry on Manifolds of Even Dimension

Link to the video

2024-02-07, 3:00 pm Pavel Exner (Doppler Institute for Mathematical Physics and Applied Mathematics, Prague)

Effects of time-reversal non-invariance in quantum graphs

Link to the video

2024-01-31, 5:00 pm Maciej Zworski (University of California, Berkeley)

Mathematics of magic angles for twisted bilayer graphene

Link to the video

2024-01-26, 3:00 pm Semyon Dyatlov (Massachusetts Institute of Technology, Cambridge)

Semiclassical measures for quantum cat maps

Link to the video

2024-01-10, 3:00 pm Gabriel Rivière (Universität Nantes)

Orthospectrum of convex bodies and Poisson formulas

Link to the video

2023-11-29, 2:30 pm Ahmed Bou-Rabee (Courant Institute)

Unique continuation for discrete elliptic equations

Link to the video

2023-10-25, 2:30 pm Antoine Prouff (Paris Saclay University)

Observability of the Schrödinger equation with confining potential

Link to the video

2023-08-15, 5:00 pm James Kennedy (University of Lisbon)

New results on spectral minimal partitions of metric graphs

Link to the video Slides

2023-08-15, 4:00 pm Gilad Sofer (Technion, Haifa, Israel)

Spectral properties of quasiperiodic metric graphs

Link to the video

2023-08-15, 3:00 pm Vsevolod Chernyshev (National Research University, Moskau)

Dynamical system of moving points on metric graphs and related problems from analytic number theory

Link to the video

2023-07-05, 2:30 pm Kévin Le Balc'h (Paris Sorbonne Université)

Observability for Schrödinger equations posed on the whole plane

Link to the video

2023-06-28, 2:30 pm Tommaso Rossi (Universität Bonn)

First-order heat content asymptotics on RCD(K,N) spaces

Link to the video Slides

2023-06-21, 2:30 pm Francesco Tudisco (Gran Sasso Science Institute, Italy)

Nonlinear Perron-Frobenius theory for multi-homogeneous mappings and applications

Link to the video Slides

2023-05-31, 2:30 pm Mostafa Sabri (Cairo University)

Flat bands of periodic graphs

Link to the video

2023-05-24, 2:30 pm Lahcen Maniar (Cadi Ayyad University, Marrakesh)

Logaritmic convexity of semigroups and inverse problems of Ornstein-Uhlenbeck equations

Link to the video

2023-05-03 - 2023-05-04  

Workshop: Dirac equation between discrete and continuous: new trends and applications

Book of abstracts

2023-05-04, 6:20 pm

Daniel Parra (University of Santiago, Chile)

Continuum limit for a discrete Hodge-Dirac operator on square lattices

Link to the video

2023-05-04, 5:40 pm

Timoteo Carletti (University of Namur, Belgium)

Global Topological Synchronisation on Simplicial and Cell Complexes

Link to the video

2023-05-04, 5:00 pm

Alberto Richtsfeld (University of Potsdam, Germany)

Boundary Value Problems for Dirac Operators on Graphs

Link to the video

2023-05-04, 3:50 pm

Marjeta Kramar Fijavž (University of Ljubljana, Slovenia)

Dirac equation on metric graphs

Link to the video Slides

2023-05-04, 3:10 pm

Illia Karabash (University of Bonn, Germany)

M-boundary tuples and the description of m-dissipative boundary conditions for abstract wave equations

Link to the video

2023-05-04, 2:30 pm

Kelin Xia (Nanyang Technological University, Singapore)

Persistent Dirac model for molecular data analysis

Link to the video

2023-05-03, 6:20 pm

Hanne Van Den Bosch (University of Chile, Chile)

Boundary conditions for self-adjoint Dirac operators and applications to graphene

Link to the video

2023-05-03, 5:40 pm

Sergei Avdonin (University of Alaska Fairbanks, United States)

Inverse Problems for the Dirac equation on Metric Graphs

Link to the video

2023-05-03, 5:00 pm

Shahn Majid (Queen Mary University of London, UK)

Dirac operators built from quantum Riemannian geometries

Link to the video

2023-05-03, 3:50 pm

Lorenzo Tentarelli (Politecnico di Torino, Italy)

On the nonlinear Dirac equation on metric graphs

Link to the video

2023-05-03, 3:10 pm

Ginestra Bianconi (Queen Mary University of London, UK)

The Discrete Dirac operator and its associated field theory

Link to the video

2023-05-03, 2:30 pm

Olaf Post (University of Trier, Germany)

Some remarks on Dirac operators on graphs

Link to the video

2023-04-26, 3:00 pm Jon Harrison (Baylor University)

Quantizing graphs, one way or two?

Link to the video

2023-04-12, 3:00 pm Julien Royer (Université Paul Sabatier, Institut de Mathématiques de Toulouse)

Local energy decay for the wave and Schrödinger equations

Link to the video

2023-03-22, 2:30 pm Walton Green (Washington University, St. Louis)

Dominating Sets, Uncertainty Principle, and Geometric Control

Link to the video

2023-03-08, 2:30 pm Giulia Meglioli (Universität Bielefeld)

Uniqueness for elliptic equations on infinite graphs

Link to the video Slides

2023-03-01, 3:00 pm Zeev Rudnick (Tel-Aviv University)

Robin vs Neumann spectra for planar domains

Link to the video

2023-02-22, 2:30 pm Patrizio Bifulco (FernUniversität in Hagen)

Single and Attractive: Uniqueness and Stability of Economic Equilibria under Monotonicity Assumptions

Link to the video Slides

2023-02-01, 2:30 pm Nataliia Goloshchapova (Sao Paulo)

Stability of standing waves for NLS equation on certain metric graphs

Link to the video Slides

2023-01-25, 2:30 pm Aleksey Kostenko (Ljubljana)

Inverse spectral theory for strings and the conservative Camassa-Holm flow

Link to the video

2023-01-18, 2:30 pm Asma Hassannezhad (University of Bristol)

Isoperimetric inequalities for mixed Steklov eigenvalues on a surface

Link to the video

2022-12-14, 3:00 pm Ayman Kachmar (The Lebanese University in Beirut, Lebanon)

Quantum tunneling in deep potential wells and strong magnetic field revisited

Link to the video

2022-12-07, 2:30 pm Hanne Van Den Bosch (Santiago de Chile)

A Keller-Lieb-Thirring Inequality for Dirac operators

Link to the video

2022-10-26, 2:30 pm Felix Pogorzelski (Universität Leipzig)

Hardy inequalities on graphs and some of their implications

2022-10-12, 4:30 pm Jussi Behrndt (TU Graz)

Sharp boundary trace theory and Schrödinger operators on bounded Lipschitz domains

Link to the video Slides

2022-09-07, 3:30 pm Omid Amini (CNRS, Paris)

Geometry of tropical curves and applications

Link to the video Slides

2022-08-24, 2:30 pm Vyacheslav Pivovarchik (Odessa)

On cospectral quantum graphs with Dirichlet conditions at pendant vertices

Link to the video

2022-06-28, 2:30 pm Robert Denk (Universität Konstanz)

Nonlinear semigroups and $\Gamma$-convergence

Link to the video

2022-06-08, 3:30 pm Joachim von Below (Université du Littoral Côte d'Opale, Calais)

Travelling waves and fronts in reaction-diffusion equations on metric graphs

Link to the video Slides

2022-05-02, 2:30 pm Fabian Rupp (Universität Wien)

Li-Yau inequalites for the Helfrich functional

Link to the video Slides (PDF 797 KB)

2022-04-27, 2:00 pm Davide Bianchi (Harbin Institute of Technology, Shenzen, China)

Asymptotic spectra of large graphs with a uniform local structure

Link to the video Slides (PDF 812 KB)

2022-04-06, 3:30 pm Alexander Dicke (TU Dortmund)

Observability from sensor sets with decaying density

Link to the video

2022-04-06, 2:30 pm Alessandro Duca (Université Paris-Saclay)

Global exact controllability of the bilinear Schrödinger equation on graphs

Link to the video

2022-03-30, 4:00 pm Roberto Natalini (CNR Rom)

Mean field and macroscopic limits for hybrid model of cell motion

Link to the video Slides

2022-03-21, 3:30 pm Rico Zacher (Universität Ulm)

Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel

Link to the video Slides (PDF 299 KB)

2022-02-23, 2:30 pm Lorenzo Brasco (University of Ferrara)

Principal frequencies and inradius

Link to the video Slides (PDF 1 MB)

2022-02-09, 3:30 pm Jan Meichsner (FernUniversität in Hagen)

Fractional powers of linear operators and
the Caffarelli-Silvestre extension

Link to the video

2022-02-02, 2:30 pm Mostafa Sabri (Cairo University)

Spectral analysis of large quantum graphs

Link to the video

2022-01-26 2:30 pm Olaf Post (Universität Trier)

Some recent results on graph perturbations and the effect on their spectrum

Link to the video

2022-01-19, 2:30 pm Anna Dall'Acqua (Universität Ulm)

On the elastic flow of networks

Link to the video

2021-12-15, 2:30 pm José Mazon (University of Valencia)

The Total Variation Flow in Metric Graphs

Link to the video

2021-12-01, 2:30 pm Sabine Bögli (Durham University)

On the discrete eigenvalues of Schrödinger operators with complex potentials

Link to the video

2021-11-24, 2:30 pm Nunzia Gavitone (University of Naples Federico II)

Sharp estimates for the Gaussian torsional rigidity with Robin boundary conditions

Link to the video

2021-11-10, 4:00 pm Robert Seiringer (IST Austria)

Quantum fluctuations and dynamics of a strongly coupled polaron

Link to the video

2021-10-27, 11:00 am Bobo Hua (Fudan University, Shanghai)

Subharmonic functions on graphs with positive spectrum

Link to the video

2021-10-13, 2:30 pm Ginestra Bianconi (Queen Mary University of London)

The topological Dirac equation of networks and simplicial complexes

Link to the video

2021-07-28, 2:30 pm Aleksandra Puchalska (Universität Warschau)

Multigroup SIS type model with fixed time impulses

Link to the video

2021-07-21, 2:30 pm Martin Burger (Friedrich-Alexander-Universität Erlangen-Nürnberg)

Transport distances and gradient flows on networks

Link to the video

2021-07-07, 2:30 pm Sahiba Arora (TU Dresden)

Uniform maximum and anti-maximum principles

Link to the video

2021-06-30, 2:30 pm Julio D. Rossi (Universidad de Buenos Aires)

Convexity and its associated equation

Link to the video

2021-06-16, 4:15 pm Ralph Chill (TU Dresden)

The Kato property of sectorial forms

Link to the video

2021-06-16, 3:00 pm Max von Renesse (Universität Leipzig)

Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion

2021-06-09, 2:30 pm Jeremy Martin (Institut de recherche mathématique de Rennes, France)

Geometric conditions for the controllability of free and harmonic Schrödinger equations

Link to the video

2021-06-02, 4:00 pm Joachim Kerner (FernUniversität in Hagen)

Remarks on the spectral gap of one-dimensional Schrödinger operators

Link to the video

2021-05-26, 4:30 pm Marcel Filoche (Ecole Polytechnique, Palaiseau)

The landscape of wave localization in complex or disordered systems

The talk is given as a part of the Mathematical Colloquium. Link to the video

2021-05-19, 2:30 pm

Eszter Sikolya (ELTE Universität, Budapest)

Stochastic reaction-diffusion equations on networks

Link to the video

2021-05-12, 4:00 pm Wesley Jones (Emory University)

Sharp diameter bound on the spectral gap of quantum graphs

Link to the video

2021-05-05, 2:30 pm Maya Briani (IAC - CNR, Rom)

Shallow water equations in channel networks

Slides (PDF 1 MB)

2021-04-28, 2:30 pm Michela Egidi (Ruhr-Uni Bochum)

Spectral inequalities and thick sets: an abstract Logvinenko-Sereda type theorem

Link to the video

2021-04-21, 2:30 pm Gökhan Mutlu (Gazi University)

On the quotient quantum graph with respect to the regular representation

Link to the video

2021-04-14, 2:30 pm Marvin Plümer (FernUniversität in Hagen)

On Pleijel's nodal domain theorem for quantum graphs

Link to the video

2021-03-24, 5:00 pm Gregory Berkolaiko (Texas A&M University)

Lateral variation principle and extrema of dispersion relation of periodic graphs

Link to the video

2021-03-17, 2:30 pm Giuseppe Coclite (University of Bari)

Nonlinear Peridynamic Models

Slides (PDF 3 MB)

2021-03-10, 4:30 pm Mahmood Ettehad (University of Minnesota)

Three Dimensional Elastic Frames: Rigid Joint Conditions In Variational And Differential Formulation

Link to the video Slides

2021-03-03, 1:30 pm Pedro Miana (University of Zaragoza)

Fundamental solutions for semidiscrete evolution equations via Banach algebras

Link to the video Slides

2021-02-24, 2:30 pm Michael Hartz (Universität des Saarlandes)

The column-row property for complete Pick spaces

Link to the video

2021-02-17, 2:30 pm Ernesto Estrada (University of Zaragoza)

Hubs-biased Laplacian operators and hubs-biased dynamics on graphs/networks

Link to the video

2021-02-17, 3:30 pm Gissell Estrada-Rodriguez (Pierre and Marie Curie University)

Metaplex networks: influence of the exo-endo structure of complex systems on diffusion

Link to the video

2021-02-17, 4:15 pm Matthias Keller (Universität Potsdam)

From Hardy to Rellich inequalities and Agmon estimates on graphs

Link to the video

2021-02-17, 5:15 pm Christian Rose (Universität Potsdam)

Neumann heat kernel estimates for integral Ricci curvature conditions

Link to the video

2021-02-18, 2:30 pm Peter Stollmann (Universität Chemnitz)

A new uncertainty principle at low energies

Link to the video
2021-02-18, 3:30 pm Marcel Schmidt (Universität Jena/Leipzig)

Poincaré inequalities on graphs

Link to the video
2021-02-18, 4:15 pm Yehuda Pinchover (Technion, Haifa)

On the equivalence of heat kernels of second-order parabolic operators

Link to the video
2021-02-18, 5:15 pm Matthias Hofmann (University of Lisbon)

An existence theory for nonlinear equations on metric graphs via energy methods

Link to the video
2021-02-18, 6:00 pm Andrea Serio (University of Stockholm)

On extremal eigenvalues of the graph Laplacian

Link to the video
2021-02-10, 5:00 pm Enzo Vitillaro (University of Perugia)

The wave equation with acoustic boundary conditions

Link to the video Slides

2021-02-03, 3:00 pm Leonid Parnovski (University College London)

Bethe-Sommerfeld conjecture: results old and new

2021-01-27, 3:00 pm Constanza Rojas-Molina (Université de Cergy-Pointoise, Paris)

Random Schrödinger Operators arising in the study of aperiodic media

Link to the video

2021-01-20, 2:30 pm Andrea Pinamonti (University of Trento)

$\Gamma$-convergence and $H$-convergence for functionals and operators depending on vector fields

Link to the video

2021-01-13, 2:30 pm Valter Moretti (University of Trento)

An operational construction of the sum of two non-commuting observables in quantum theory and related constructions

Link to the video Article presented in the talk

2020-12-16, 2:00 pm Jeremy Marzuola (University of North Carolina at Chapel Hill)

Edge localized states on quantum graphs in the limit of large mass

2020-12-02, 10:00 am Can Zhang (Wuhan University)

Control and Observation for Parabolic Equations

Slides (PDF 313 KB)

2020-11-23, 2:30 pm Maria Rosaria Lancia (University of Rome - Sapienza)

Fractional Robin Problems in irregular domains

Link to the video

2020-11-18, 3:00 pm Leonid Polterovich (University of Tel Aviv)

Persistence barcodes and Laplace eigenfunctions on surfaces

2020-11-18, 4:00 pm Iosif Polterovich (University of Montreal)

Steklov eigenvalues, sloping beaches and quantum graphs

2020-11-10, 3:00 pm Stefan Steinerberger (University of Washington)

The Hot Spots Problem on Graphs

Link to the video Slides

2020-11-04, 2:30 pm Marco Marletta (Cardiff University)

The essential numerical range for unbounded linear operators

Link to the video

2020-10-28, 2:30 pm Matthias Täufer (FernUniversität in Hagen)

A robust initial scale estimate and localization at band edges of the continuum Anderson model

Link to the video

2020-10-21, 2:30 pm

Liviu Ignat
​​​​("Simion Stoilow" Institute of Mathematics of the Romanian Academy)

Asymptotic behavior of solutions for some local and nonlocal diffusion problems on metric graphs

2020-10-07, 2:30 pm

Ram Band
(Technion, Haifa)

Neumann domains on manifolds and graphs

Link to the video Slides

2020-09-30, 2:00 pm

Noema Nicolussi
(University of Vienna and École polytechnique)

Variations of canonical measures: Graphs and Riemann surfaces

2020-09-03, 2:00 pm

Amru Hussein
(TU Kaiserslautern)

Hidden symmetries in non-self-adjoint graphs

Link to the video

2020-03-04, 2:30 pm

Kresimir Veselić
​​​​​​(FernUniversität in Hagen)

Higher-order estimates for selfadjoint eigenvalues

2020-02-20, 3:30 pm Markus Kunze
(University Konstanz)
Degenerated convergence of solutions of semilinear equations
2020-01-21, 3:00 pm Matthias Erbar
(University Bonn)
A variational characterisation of the Sine_β point process
2019-11-27, 4:30 pm Federica Gregorio
​​​​​​(University of Salerno, Italy)
Some results on second-order elliptic operators with polynomially growing coefficients in L^p-spaces
2019-11-27, 3:00 pm Simon Becker
(University of Cambridge, England)

Dynamical delocalization for discrete Schrödinger operators

2019-10-16, 2:00 pm Marvin Plümer
(FernUniversität in Hagen, Lehrgebiet Analysis)
Eigenvalue bounds for the Laplacian on embedded metric graphs
2019-10-02, 3:00 pm

Michael Hartz
(FernUniversität in Hagen, Lehrgebiet Analysis)

Finite-dimensional dilations

2019-09-17, 4:30 pm

Lahcen Maniar
(Cadi Ayyad University, Marrakesh, Morocco)
Parabolic equations with dynamic boundary conditions: wellposedness and maximal regularity

2019-06-17, 5:00 pm

James Kennedy
(University of Lisbon, Portugal)
The Eigenvalues of the Robin Laplace operator with complex parameters
2018-12-12, 2:30 pm Marvin Plümer
(FernUniversität in Hagen, Lehrgebiet Analysis)
An eigenvalue bound for the Kirchhoff-Laplacian on planar quantum graphs
2018-11-29, 4:00 pm Felix Schwenninger
(Universität Hamburg)
Constant(ly appearing) tricks
2018-09-18, 4:00 pm Marcel Schmidt
(University Jena)
On the uniqueness class, stochastic completeness and volume growth for graphs
2018-08-28, 4:00 pm Noema Nicolussi
(University of Vienna, Austria)
Spectral Estimates for Infinite Quantum Graphs
2018-03-07, 4:30 pm Alessia Kogoj
(University Urbino, Italy)
Subelliptic Liouville theorems
2017-06-26, 2:30 pm James Kennedy
(University of Lisbon, Portugal)
Asymptotics of eigenvalues of Robin Laplacians
2017-05-17, 2:30 pm Federica Gregorio
(FernUniversität in Hagen, Lehrgebiet Analysis)
Fourth-order Schrödinger type operator with singular potentials
2016-05-03, 5:00 pm Amru Hussein
(TU Darmstadt)
Well-Posedness for the Primitive Equations for the Ocean and the Atmosphere
2015-01-15, 4:00 pm Hynek Kovarik
(University Brescia, Italien)
Improved Berezin-Li-Yau inequalities with magnetic field
2014-11-24, 3:00 pm Matthias Keller
(Friedrich-Schiller-University Jena)
Schrödinger operators on sparse graphs
07.04.2026