International Mathematical Union Courses

30 Years of Modularity - Number Theory Since the Proof of Fermat's Last Theorem

Explore 30 years of modularity and number theory since the proof of Fermat's Last Theorem with Frank Calegari, offered by the International Mathematical Union.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

Homological Algebraic Geometry

Explore the geometry of algebraic variety through coherent sheaves with International Mathematical Union. Learn about semiorthogonal decompositions, their properties, and new constructions.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

Michel van den Bergh- Noncommutative Crepant Resolutions

Explore noncommutative crepant resolutions with Michel van den Bergh in this 1-2 hour program offered by the International Mathematical Union.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

Lagrange Multiplier Functionals

Explore the role of Lagrange multiplier functionals in mathematics and physics with a focus on Rabinowitz’ action functional, offered by the International Mathematical Union.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Sausages and Butcher Paper

Explore the intriguing world of mathematics with Danny Calegari's less than 1-hour session, offered by the International Mathematical Union.

• YouTube
• 40 minutes
• On-Demand
• Free Online Course

Homological Stability - A Tool for Computations

Learn about Homological Stability and its computational applications from Nathalie Wahl, in less than an hour, offered by International Mathematical Union.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

Alexander Gamburd- Arithmetic and Dynamics on Varieties of Markoff Type

Explore arithmetic and dynamics on Markoff-type varieties with Alexander Gamburd in this short program offered by the International Mathematical Union.

• YouTube
• 53 minutes
• On-Demand
• Free Online Course

Olivier Wittenberg- Some Aspects of Rational Points and Rational Curves

Explore aspects of rational points and curves with Olivier Wittenberg in this short offering from the International Mathematical Union.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

Dynamics of Dilute Gases: A Statistical Approach

Immerse in the dynamics of dilute gases with a statistical approach in this 1-2 hour program by the International Mathematical Union.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Nikolai Andreev - Leelavati Prize

Explore the work of Leelavati Prize winner Nikolai Andreev in this 1-2 hour study by the International Mathematical Union.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

Small Denominators and Multiplicative Jensen's Formula

Learn about small denominators and multiplicative Jensen's formula from Svetlana Jitomirskaya, offered by the International Mathematical Union. Requires 1-2 hours.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course

Larry Guth- Decoupling Estimates in Fourier Analysis

Explore decoupling in Fourier analysis with Larry Guth, offered by the International Mathematical Union. Dive into its applications in harmonic analysis, PDE, and number theory.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Online Course

On the Complexity of Quantum Many Body Systems

Explore the complexity of quantum systems with Umesh Vazirani's 1-2 hour material from the International Mathematical Union, blending quantum computation and information theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course

Craig B. Gentry: Homomorphic Encryption

Learn about Homomorphic Encryption from Craig B. Gentry in this 1-2 hour program offered by the International Mathematical Union.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Online Course

Counting Lattice Points in Moduli Spaces of Quadratic Differentials

Dive into counting lattice points in moduli spaces of quadratic differentials with Peter Zograf. Offered by the International Mathematical Union, this under 1-hour material explores complex algebraic curves.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course