International Centre for Theoretical Sciences Courses

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.

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

Shapes and Geometry of Surfaces by Mahan Mj

Explore the fascinating world of surfaces and their geometric properties. Learn about classification, topology, and curvature in this comprehensive lecture on shapes in space.

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

Hyperbolic Geometry, the Modular Group and Diophantine Approximation - Lecture 1

Explore hyperbolic geometry, modular groups, and Diophantine approximation in this advanced lecture. Delve into fundamental concepts, geodesic flows, and subgroups of SL(2,R), with proofs and examples.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Hyperbolic Surfaces and Their Teichmüller Spaces - Lecture 2

Explore hyperbolic surfaces, Teichmüller spaces, and surface group representations. Delve into geometric structures, developing maps, and holonomy representations in this advanced mathematics lecture.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

The Life History of a Raindrop by Rama Govindarajan

Explore the fascinating journey of raindrops, from formation to interaction with turbulence in clouds. Discover fluid dynamics, monsoon patterns, and the intricate processes behind precipitation.

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

How Connected Are You? An Introduction to Graph Theory and Network Science by Hugo Touchette

Explore networks and graphs in everyday life, from social media to transportation systems. Learn about graph theory, network shapes, and their evolution and applications.

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

Entanglement in Theories of Gravity by Suvrat Raju

Exploración de la entropía de entrelazamiento en teorías de gravedad, examinando su definición, paradojas y nuevas perspectivas en el contexto de la teoría cuántica de campos y la gravedad.

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

Notes on Melonic SO-N Tensor Models by Shiraz Minwalla

Exploration of Melonic SO(N)^q Tensor models, focusing on SYK theory dynamics, UV Lagrangian, and phase transitions. Discusses large N limit, spectrum analysis, and effective potential minimization in string theory context.

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

Large Deviations of Markov Processes - Part 1

Explore large deviation theory in statistical physics, covering Markov processes, dynamical observables, and advanced mathematical concepts. Gain insights into recent developments and applications in nonequilibrium systems.

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

Topology in Biology by Julia Yeomans

Explore active matter systems, focusing on topology in biology, active turbulence, and cell division. Learn about liquid crystal hydrodynamics, topological defects, and confinement effects in active systems.

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

Quantum Many-Body Physics with Multimode Cavity QED by Jonathan Keeling

Explore quantum many-body physics in multimode cavity QED, covering topics like the Dicke model, superradiance, dipole approximation, and phase transitions in open quantum systems.

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

Gravitational Waves from Neutron Stars - Lecture 1

Explore gravitational waves from neutron stars, covering detection methods, signal analysis, radiation mechanisms, and fluid dynamics in astrophysical contexts.

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

Black Holes - Lecture 4

Explore black hole physics, from stability of stars to Einstein's field equations, Schwarzschild geometry, orbits, gravitational capture, and particle motion near event horizons.

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

Tides in Binary Star Systems - Lecture 1

Explore gravitational waves, tides in binary star systems, and multipole moments in this advanced lecture on theoretical astrophysics and gravitational-wave astronomy.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Pulsars: Properties, Radiation, and Discovery - Lecture 8

Explore pulsars, neutron stars, and their remarkable properties in this comprehensive lecture. Learn about their discovery, radiation mechanisms, and role in astrophysics.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video