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

How Spatial Patterns Can Lead to Less Resilient Ecosystems

Discover how spatial vegetation patterns may actually reduce ecosystem resilience through convective instabilities, challenging traditional ecological theories with new mathematical models.

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

Diffusion of the Dead - The Mathematics of Zombie Invasion

Explore mathematical models applied to zombie invasions, deriving human-zombie interaction times and survival strategies using epidemiological approaches.

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

Communicating Nonlinear Dynamics Across Boundaries via Interactive Simulations

Explore how interactive simulations bridge disciplinary gaps in nonlinear dynamics, from biology to ecology, using real-time tools like VisualPDE for deeper scientific insights.

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

3D Summation-By-Parts Schemes on Hyperboloidal Slices

Explore advanced numerical methods for solving wave equations on hyperboloidal slices using provably stable 3D Summation-By-Parts schemes in spherical coordinates.

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

Nanopore Translocation of Entangled DNA and RNA Filaments

Explore nanopore translocation of DNA and RNA, focusing on polymer structural changes, unzipping mechanisms, and xrRNA resistance to degradation through simulations.

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

Toward Phase Diagrams in Multidomain Protein Solutions In Vitro

Explore phase transitions in multidomain protein solutions, examining liquid-liquid separation and aggregation in engineered silk-like proteins through microscopy and thermodynamic analysis.

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

Thermodynamic Properties of Polymer Catenanes and Chainmails

Explore thermodynamic phase transitions in charged polymer catenanes and chainmails through theoretical analysis and simulation results from recent research.

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

Polymer Topology and Charged Soft Matter - A Tale of Rings

Explore the fascinating interplay between polymer topology and electric charge in ring-shaped macromolecules, uncovering unique rheological properties and cluster glass formation.

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

Searching for Primordial Non-Gaussianity - Spectroscopic Surveys and Zero-Bias Tracers

Explore advanced techniques for detecting primordial non-Gaussianity using spectroscopic surveys, zero-bias tracers, and cosmic velocity measurements to constrain inflation models.

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

Tracing Cosmic Origins - Building a Digital Twin of the Universe with Field-Level Inference

Discover how Bayesian field-level inference creates a "Digital Twin of the Universe" by reconstructing cosmic structures from galaxy survey data and simulations.

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

Gaussian Lagrangian Galaxy Bias

Explore advanced theoretical frameworks connecting galaxy formation to large-scale cosmic structure through Gaussian Lagrangian bias modeling techniques.

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

Simulating the Initial Conditions of the Universe

Explore advanced techniques for simulating multifield inflationary models, focusing on axion-U(1) inflation and its impact on cosmic structure formation and galaxy surveys.

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

Novel Forward Models and Solver-in-Loop Approaches for Joint Astrophysics and Cosmology

Explore how machine learning enhances cosmological simulations to better understand dark matter-baryon interactions and discover new physics through differentiable pipelines.

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

Third-Order Weak Lensing as a Bridge to Simulation-Based Inference

Explore third-order cosmic shear statistics beyond Gaussian assumptions, covering bispectrum modeling, intrinsic alignments, and simulation-based inference for cosmological analysis.

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

Time-Efficient Cosmological Simulations With and Without a Quantum Analogue

Discover time-efficient methods for cosmological simulations, exploring both classical approaches and innovative quantum analogues in large-scale structure modeling.

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