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

Magnetocrystalline Anisotropy of Heavy Rare-Earth Atoms on Graphene

Explore magnetocrystalline anisotropy of heavy rare-earth atoms on graphene using DFT+U method. Uncover electronic and magnetic properties, predict quantum stability, and investigate strain effects.

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

Competing Magnetisms and Onset of Static Magnetic Order in Sr2RuO4

Explore competing magnetic instabilities in Sr2RuO4, their link to superconductivity, and the onset of static magnetic order under strain using first-principles and self-consistent renormalization theories.

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

Exotic Phenomena Due to Multipolar Superexchange Interactions in f-Electron Systems

Explore exotic phenomena in f-electron systems, focusing on hidden orders, multipolar interactions, and their impact on material properties in NpO2, PrO2, URu2Si2, and UTe2.

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

Towards Modeling of VBS States in IrTe2

Explore IrTe2's unique layered structure, dimer formation, and striped ordering. Analyze energy dynamics, phonon shifts, and strain textures to understand its intriguing phase transitions.

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

Finding True Kugel-Khomskii Materials

Explore the Kugel-Khomskii super-exchange mechanism in strongly-correlated systems, examining recent discoveries of materials where this effect dominates orbital ordering.

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

Effect of Electron-Doping in Ba2Na1−xCaxOsO6 Mott Insulator with Strong Spin-Orbit Coupling

Explore the evolution of magnetic and BLPS phases in electron-doped Ba2Na1−xCaxOsO6 Mott insulators, revealing insights into spin-orbital bipolarons and their impact on material properties.

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

Ordering of Spin-Orbit-Lattice Entangled States in 5d1 Double Perovskites

Explore spin-orbit-lattice entanglement in 5d1 double perovskites, examining ordered phases and their theoretical explanations through recent research and RIXS spectral analysis.

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

A p-adic Approach to Differential Equations - Part II

Explore p-adic methods for solving differential equations in this advanced mathematics lecture, delving into algebraicity and transcendence concepts.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

A p-adic Approach to Differential Equations - Lecture 1

Explore p-adic methods for solving differential equations in this advanced mathematics lecture by Masha Vlasenko.

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

Differential Galois Theory and the Algebraicity of Solutions - Part I

Explore differential Galois theory and algebraicity of solutions in this advanced mathematics lecture, delving into singular differential equations.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

Differential Galois Theory and the Algebraicity of Solutions - Part II

Explore advanced concepts in differential Galois theory and algebraicity of solutions, building upon previous knowledge in this specialized mathematics field.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Differential Equations, Geometry and Arithmetic - Lecture 2

Explore advanced concepts in differential equations, geometry, and arithmetic with a focus on algebraicity and transcendence in singular differential equations.

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

Differential Equations, Geometry and Arithmetic - Lecture 1

Explore connections between differential equations, geometry, and arithmetic in this advanced mathematics lecture by Duco van Straten.

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

Analyzing Bacterial Growth with Extreme Value Statistics

Discover how extreme value statistics explains bacterial lag phase dynamics and the century-old "inoculum effect" through innovative millifluidic experiments.

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

Gravitational Wave Probes of Fundamental Physics

Discover how gravitational waves serve as powerful tools to probe fundamental physics concepts and test theoretical predictions in this advanced physics lecture.

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