IMSA Courses

A Holographic Principle for Local Topological Order

Exploring local topological order in quantum systems, focusing on holographic principles and entanglement in boundary algebras to recover bulk topological properties.

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

Disorder in Multi-Band Topological Semimetals

Exploring disorder effects in topological magnetic semimetals, focusing on exotic transport properties, Berry curvature, and intrinsic anomalous Hall effect in various material systems.

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

Classification of Disordered Insulators in One Dimension

Explore mathematical aspects of disordered topological insulators, focusing on 1D classification and the application of algebraic topology to quantum mechanical Hamiltonians.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Low-Energy Electrodynamics of Quantum Anomalous Hall State in Magnetically Doped Topological Insulators

Explores low-energy electrodynamics of quantum anomalous Hall state in magnetically doped topological insulators, focusing on experimental findings and implications of magnetic gap disorder.

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

Spin and Orbital Hall Effects in Two-Dimensional Topological Materials

Explore spin and orbital Hall effects in 2D topological materials through high-throughput calculations, examining their relationship with topological properties and potential applications in spin-orbitronics.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Transporting the Shape of Spin - From Spintronics to Multipoletronics

Explore spin magnetic multipole moments in electron transport, their gauge-invariant calculation, and implications for spintronics phenomena like spin Hall effect and current-induced spin accumulation.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Violations of Bulk-Edge Correspondence for Topological Insulators

Explore violations of bulk-edge correspondence in topological insulators, examining examples, boundary conditions, and mathematical concepts to understand these unexpected phenomena.

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

Topology of the Fermi Sea

Explore the Fermi sea's topology, its quantized responses, and correlation functions. Discover how topological invariants manifest in entanglement and distinguish Fermi liquid phases.

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

Moiré Fractional Phases of Matter - Advances in Condensed Matter Physics

Explore groundbreaking discoveries in condensed matter physics, focusing on fractional Chern insulators and their implications for quantum phenomena and future technological applications.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Phase Diagram of Disordered Three-Dimensional Z2 Topological Insulators

Explore the impact of disorder on 3D topological insulators, focusing on the critical point between Z2 topological and trivial insulator phases and the stability of Dirac semimetals.

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

Magnetic Symmetries Protecting the Chern-Simons Axion Coupling θ Term

Explore magnetic symmetries and their role in protecting the Chern-Simons axion coupling θ term, focusing on time reversal symmetry and rotations in condensed matter physics.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Topological Gapped Phases in Twisted Bilayer Systems - Emil Prodan

Explore topological gapped phases in twisted bilayers through mass-spring systems, revealing Hofstadter-like spectra and novel quantized effects in non-commutative geometry.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Homological Mirror Symmetry: Recent Developments and Future Directions

Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in mathematics.

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

Homological Mirror Symmetry - Recent Developments and Future Directions

Survey of recent developments in Homological Mirror Symmetry, exploring new results and future directions in this mathematical field. Honors Jeffrey Fuqua's contributions to the subject.

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

Homological Mirror Symmetry: Recent Developments and Future Directions

Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative field of mathematics.

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