Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

Collective Cold-Atom Interactions and Astrophysical Perspectives

Explore collective cold-atom interactions and their astrophysical applications through experiments on light scattering, random lasing, and long-range forces in atomic vapors.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Interactions Induced by Fluctuating Electromagnetic Fields

Explore interactions induced by fluctuating electromagnetic fields, from dispersion forces to blackbody radiation effects. Learn about light-matter interactions and potential applications in colloidal systems.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Quantum Friction Near Nonreciprocal Media and Chiral Media

Explore quantum friction effects on polarizable charged particles near chiral and nonreciprocal media, focusing on topological insulators and examining Casimir-Polder shifts in various scenarios.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Out-of-Equilibrium Thermal Casimir Effect and How to Measure It

Explore the thermal Casimir effect and its measurement using CANNEX, focusing on out-of-equilibrium conditions and thermal radiation pressure in macroscopic quantum interactions.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Casimir-Polder Interaction at Finite Temperature: Concepts and Challenges

Explore dispersion forces, van der Waals interactions, and Casimir-Polder effects, focusing on temperature dependence and quantum field theory challenges in describing material absorption.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Modelling and Design of Photonic Structures for Quantum Trapping

Explore quantum trapping effects in photonic structures, focusing on optical resonators and nanocomposite materials. Learn about Casimir-Lifshitz forces and their impact on material design.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Numerical Evaluation of the Casimir-Polder Interaction at Finite Temperature

Explore numerical evaluation of Casimir-Polder interaction at finite temperature, focusing on DGTD method for complex setups including nonlocal materials and finite temperatures.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Photonic Quantum Computing: A Bright Future for Many Applications

Explore photonic quantum computing architectures, applications, and future challenges. Discover quantum machine learning, reinforcement learning, and secure computing in quantum networks.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Comparative Analysis of Relative Fragmentation Stabilities in Polymorphic Amyloid Fibrils

Explore comparative analysis of amyloid fibril fragmentation stabilities, crucial for understanding neurodegenerative diseases. Learn analytical approaches to assess polymorphic structures under mechanical perturbation.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Thoughts on Regularity Structures

Explore Hairer's regularity structures for solving PDEs with rough noise, examining versatile concepts and analytical approaches to renormalization.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Group Dynamics in Phototaxis

Explore mathematical approaches to modeling group dynamics in phototaxis, including discrete, kinetic, and PDE-based methods for studying bacterial movement towards light.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

A Simple Go-or-Grow Model of Aerotaxis Along a Self-Generated Gradient

Explore a minimal model of cell colony expansion driven by aerotaxis, examining division, directional movement, and diffusion in response to oxygen gradients.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Stochastic Partial Differential Equations and Regularity Structures - Award Lecture

Explore groundbreaking work on stochastic partial differential equations, revolutionizing mathematical modeling of random physical systems with the theory of regularity structures.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Convergence of the Ising-Kac Model to Φ4 in Three Dimensions

Explore the convergence of the Ising-Kac model to $\Phi^4$ in 3D, analyzing Glauber dynamics and applying regularity structure theory to discrete particle systems.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Computing Nodal Deficiency with a Refined Spectral Flow

Explore connections between Dirichlet-to-Neumann map, spectral flow, and nodal deficiency in Laplacian eigenfunctions. Discover improved bounds and applications to spectral minimal partitions.

• YouTube
• 44 minutes
• Self-Paced
• Free Video