Remarkable progress achieved recently in production of novel materials has raised important mathematical questions. The aim of the proposed workshop is to address these new challenges.

We plan to bring together mathematicians of different backgrounds with physicists to examine together prospective new directions in this area, with the emphasis on nano-materials (such as carbon nanotubes, graphen, graphynes, etc.), metamaterials (including photonic crystals and invisibility cloaking), and topological insulators.

Scientific Committee

Jean Bellissard (Georgia Tech University)
Pavel Exner (Czech Academy of Sciences)
Motoko Kotani (AIMR Japan)
Ari Laptev (Imperial College London)
Graeme Milton (University of Utah)

Organizing Committee

Pavel Exner (Czech Academy of Sciences)
Motoko Kotani (AIMR Japan)
Peter Kuchment (Texas A&M University)
Valentin A. Zagrebnov (Aix-Marseille Université)

Speakers

• Claude Amra (Aix-Marseille Université) & Michel Bellieud (Université de Montpellier)

Heat flow with thermal metamaterials

• Nicolas Bonod (Aix-Marseille Université)

Effective medium theory to mimic the fields scattered by metallic particles with insulators

• B. Malcolm Brown (Cardiff University)

Uniqueness for an inverse problem in electromagnetism with partial data

• Jochen Brüning (Humboldt-University of Berlin)

Heat kernel estimates on arbitrary Riemannian manifolds

• Jean-Bernard Bru (University of the País Vasco)

From the 2nd Law of Thermodynamics to AC-Conductivity Measures of
Interacting Fermions in Disordered Media

• Kirill Cherednichenko (University of Bath)

Asymptotic behaviour of the spectra of systems of Maxwell equations in periodic composite media with high contrast

• Giuseppe De Nittis (Pontificia University of Chile)

Topological nature of the Fu-Kane-Mele invariants

• Stefan Enoch (Aix-Marseille Université)

Metamaterials, transformation optics for waves engineering

• Alexander Figotin (University of California at Irvine) & Aaron Welters (Florida Institute of Technology)

Overdamping in gyroscopic systems composed of high-loss and lossless components

• Dirk Hundertmark (KIT Karlsruhe)

Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities

• Muamer Kadic (KIT Karlsruhe)

Mechanical Metamaterials

• Yosuke Kubota (University of Tokyo)

Twisted equivariant K-theory and topological phases

• Max Lein (Tohoku University)

Rigorous Analogies Between Quantum Systems and Certain Wave Equations

• Mikyoung Lim (KAIST Korea)

Spectrum of the Neumann-Poincaré operator  and plasmon resonance

• Lu Ling (MIT)

Topological and invisible photonic crystals

• Thierry Martin (Aix-Marseille Université)

Electronic quantum optics with quantum Hall edge channels and topological insulators

• Shinichiroh Matsuo (Osaka University)

Gysin maps and bulk-edge correspondence

• Owen Miller (MIT)

Material-dictated upper bounds for scattering response in linear systems

• Bruno Nachtergaele (University of California, Davis)

Stability of Frustration-Free Ground States of Quantum Spin Systems

• Hagen Neidhardt (Weierstrass Institute of Berlin)

Scattering matrix and Dirichlet-to-Neumann maps

• Hoai-Minh Nguyen (EPFL)

Applications and stabilities of negative index materials

• Toshiaki Omori (Tokyo University of Science)

A discrete surface theory on 3-valent graphs embedded in 3-dimensional Euclidean space

• Nicolas Rougerie (Université Grenoble-Alpes)

Emergent anyons in quantum Hall physics

• Stephen Shipman (Louisiana State University)

Spectrally embedded bound states for quantum graphs

• Aaron Welters (Florida Institute of Technology)

Analyticity of the Dirichlet-to-Neumann Map for Maxwell’s Equations in
Passive Composite Media

• John R. Willis (University of Cambridge)

Negative refraction in a laminate