Institute for Advanced Study Courses

3D Magnetic Field Observations Associated With Filamentary Molecular Clouds - Mehrnoosh Tahani

Exploration of 3D magnetic field observations in filamentary molecular clouds, discussing techniques, results, and implications for understanding cloud morphologies and magnetic field structures.

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

Non-Uniqueness of Leray Solutions of the Forced Navier-Stokes Equations - Dallas Albritton

Explore non-uniqueness in Navier-Stokes equations, focusing on Leray solutions, unstable manifolds, and vortex dynamics in fluid mechanics.

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

An Introduction to Lifted Expander Graphs - Fernando Granha Jeronimo

Explore lifted expander graphs, their construction, and applications in theoretical computer science. Learn about symmetry structures, coding theory implications, and recent advancements in this field.

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

Deep Learning Insights into Cosmological Structure Formation - Luisa Lucie-Smith

Explore deep learning's insights into dark matter halo formation and cosmic structure, uncovering key features in initial conditions that predict final halo mass in N-body simulations.

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

Mars- History of a Habitable World and Lessons for Terrestrial Planet Evolution - Bethany Ehlmann

Explore Mars' geological history, habitability, and lessons for planetary evolution. Discover diverse aqueous environments, climate changes, and implications for exoplanets through recent scientific findings and ongoing missions.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Fluid Equations - Regularity and Kolmogorov’s Turbulence Theory

Explore fluid dynamics, Navier-Stokes equations, and Kolmogorov's turbulence theory. Gain insights into regularity results and mathematical confirmations of phenomenological theories.

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

Human Subjects as Research Experts - Friends Talk with Rosanna Dent

Explore the complex relationship between researchers and indigenous communities, examining ethical considerations and the evolving role of human subjects in anthropological studies.

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

Dynamical Evolution of Binaries in Star Clusters and Galaxies - Chris Hamilton

Explore binary system evolution in star clusters and galaxies, focusing on tidal forces, Lidov-Kozai theory, and compact object mergers. Gain insights into celestial mechanics and astrophysical phenomena.

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

Astrophysics of White Dwarfs in the Era of Modern Surveys - Nadia Zakamska

Explore white dwarf astrophysics through modern surveys, examining ultra-compact binaries, supernova progenitors, and stellar evolution. Gain insights into equation of state, short-period binaries, and mass loss processes.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

The Unbounded Denominators Conjecture - Yunqing Tang

Explore the unbounded denominators conjecture in modular forms, its implications, and a new proof approach using arithmetic algebraization theorem.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Dynamics on Character Varieties - William Goldman

Exploration of dynamical systems arising from locally homogeneous geometric structures and flat connections on manifolds, with focus on character varieties and their complex topology.

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

Spacetime and Quantum Mechanics; Particles and Strings; Polytopes, Binary Geometries and Quiver Categories - Nima Arkani-Hamed

Explore connections between particle physics and mathematics, revealing how spacetime and quantum mechanics emerge from fundamental mathematical structures in combinatorics, algebra, and geometry.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Lattice Edge Theories for Topological Phases of Matter - Michael Levin

Explore lattice edge theories for topological phases, focusing on finite-dimensional edge theories and their unique properties, including ungappable examples with implications for quantum systems.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Locally Testable Codes with Constant Rate, Distance, and Locality, Part I - Irit Dinur

Explore locally testable codes with constant rate, distance, and locality. Learn about a new construction based on left-right Cayley complexes, addressing an open question in coding theory.

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

An Introduction to Determinantal Point Processes - John C Urschel

Explore determinantal point processes: definition, examples, and applications in random matrix theory, combinatorics, and machine learning. Survey key results and open questions.

• YouTube
• 2 hours 10 minutes
• Self-Paced
• Free Video