International Centre for Theoretical Sciences Courses

The Eisenstein Cycles and Manin-Drinfeld Properties

Explore Eisenstein cycles and Manin-Drinfeld properties in modular curves, focusing on rational points and their significance in arithmetic geometry. Gain insights from expert Debargha Banerjee.

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

On the Solutions of Certain Diophantine Equations Over Totally Real Fields

Explore solutions to specific Diophantine equations over totally real fields, delving into advanced number theory and algebraic geometry concepts.

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

Bipartite Euler Systems for Certain Galois Representations by Pronay Karmakar

Exploration of bipartite Euler systems for specific Galois representations, discussing advanced concepts in arithmetic geometry and number theory.

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

The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves

Explore advanced techniques for studying rational points on modular curves, focusing on quadratic Chabauty methods and nonsplit Cartan modular curves in arithmetic geometry.

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

Rational Points on Modular Curves - Lecture 3

Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.

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

Rational Points on Modular Curves - Lecture 2

Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

Classical and Quadratic Chabauty - Lecture 2

Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Polymer Material Design for Gas Separations by Sanat Kumar

Explore innovative polymer design strategies for efficient gas separation, focusing on material properties and molecular interactions to enhance selectivity and permeability in industrial applications.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

Decision Making and Learning in the Life Sciences - Lecture 2

Explore decision-making and learning in life sciences, focusing on advanced concepts and their applications in biological systems and research.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Experiments in Stochastic Thermodynamics - Short History and Perspectives by Sergio Ciliberto

Explore stochastic thermodynamics through experiments, tracing its history and future prospects. Gain insights into this interdisciplinary field's applications in soft matter physics and complex systems.

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

Symmetry-Breaking in Sheet Polymers by David Nelson

Explore symmetry-breaking in sheet polymers with David Nelson, delving into fundamental concepts and their applications in soft and living matter physics.

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

Novel Features of Direction Reversing Active Brownian Motion

Explores unique aspects of direction-reversing active Brownian motion, discussing novel features and implications for soft and living matter physics. Highlights cutting-edge research in non-equilibrium systems.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Modelling Embryo Elongation and Somitogenesis

Explore embryo elongation and somitogenesis modeling, focusing on developmental biology concepts and computational approaches to understand early vertebrate embryo formation.

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

Physics of Charged Macromolecules: Self-assembly and Phase Transitions - Lecture 3

Explore charged macromolecule physics, focusing on self-assembly and phase behavior. Gain insights into complex systems and their applications in various scientific fields.

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

Rigidifying DNA Macromolecules by Ionic Liquids

Explores the impact of ionic liquids on DNA macromolecules, focusing on rigidification effects. Discusses implications for DNA structure and potential applications in molecular biology and nanotechnology.

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