International Centre for Theoretical Sciences Courses

Zero Mean Curvature Surfaces in Euclidean and Lorentz-Minkowski 3-Space - Lecture 1

Explore zero mean curvature surfaces in Euclidean and Lorentz-Minkowski spaces, covering fundamental concepts, variations, stability, and examples of minimal surfaces with diverse properties and geometries.

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

Statistical Physics of Rare Events and Large Deviations - Lecture 1

Explore statistical physics of rare events and large deviations, covering mathematical foundations, equilibrium concepts, coin toss problems, blackbody radiation, and applications in physics and beyond.

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

Nonequilibrium Response Theory - Lecture 1

Explore nonequilibrium response theory, covering fluctuations, linear response, and the fluctuation-dissipation theorem. Gain insights into equilibrium and dynamic responses in statistical physics.

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

Persistence and First-Passage Properties of Stochastic Processes by Satya N Majumdar

Explore stochastic processes, focusing on persistence and first-passage properties. Covers applications in chemistry, finance, astrophysics, and more. Examines Markov processes and run-and-tumble particle models.

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

Motility-Regulation and Self-Organization in Active Matter by Julien Tailleur

Explore self-organization principles in active matter systems, from bacterial colonies to colloids. Learn about motility regulation, quorum sensing, and pattern formation in non-equilibrium physics.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Mesoscopic Aspects of Classical Transport - Lecture 1

Explore mesoscopic aspects of classical transport, covering equilibrium models, time reversal, entropy, and non-equilibrium states. Gain insights into fluctuations in nonequilibrium systems and their applications.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

Additive Number Theory - Extremal Problems and the Combinatorics of Sumsets by M. Nathanson

Explore extremal problems and combinatorics of sumsets in additive number theory, covering density, lower bounds, Cauchy-Davenport theorem, and Erdos-Turan conjecture.

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

The Selberg Sieve and Large Sieve - Lecture 1

Explore the Selberg Sieve and Large Sieve in number theory, covering linear algebra, duality principles, and applications like the Bombieri-Vinogradov theorem in this advanced mathematics lecture.

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

The Selberg Sieve - Lecture 1

Explore the Selberg sieve method in number theory, covering heuristics, probability, and applications to twin primes. Learn about sieve techniques for detecting primes in sequences.

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

Light and Beyond - Lecture 2: Optical Phenomena and Wave Propagation

Explore advanced concepts in optics, from electromagnetic waves to quantum physics, through lectures, demonstrations, and simulations. Gain insights into optical phenomena in nature and technology.

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

Light and Beyond - Lecture 1: Introduction to Optics and Geometrical Principles

Explore light as electromagnetic waves, optical phenomena, and underlying concepts through math, experiments, and simulations. Covers geometrical optics, least action principle, and introduces quantum physics.

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

Physics and Astrophysics of Gamma-Ray Bursts - Part 1

Comprehensive exploration of gamma-ray bursts, covering discovery, observational facts, physics, and astrophysical implications. Delves into prompt emission, afterglows, and theoretical models, providing insights for researchers and students.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Numerical Relativity - Mathematical Formulation by Harald Pfeiffer

Explore mathematical formulation of numerical relativity, focusing on simulating binary black hole coalescence, gravitational waves, and advanced computational techniques in astrophysics.

• YouTube
• 2 hours 11 minutes
• Self-Paced
• Free Video

Basic Lower Bounds and Kneser's Theorem by David Grynkiewicz

Explore set addition, basic lower bounds, and Kneser's Theorem in additive combinatorics. Learn key proofs, including Cauchy-Davenport theorem, and applications to field extensions.

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

Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin

Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.

• YouTube
• 3 hours 12 minutes
• Self-Paced
• Free Video