Fields Institute Courses

From Ramanujan Graphs to Ramanujan Complexes

Explore the mathematical journey from Ramanujan graphs to Ramanujan complexes, delving into advanced number theory concepts and their applications in graph theory and topology.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

The Use of a Hurricane Model in Public Health - Method, Use and Presentation

Explore the application of hurricane models in public health, focusing on COVID-19 data analysis. Learn about cyclical case trends, forecasting methods, and innovative result presentation techniques.

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

Mini-Course on Interpolation & Sampling Part 1

Explore fundamental concepts of interpolation and sampling in analytic function spaces with expert Andreas Hartmann from the University of Bordeaux.

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

Reproducing Kernel Hilbert Space of Analytic Functions - Advanced Course II, Lecture 1 Part 2

Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions, focusing on theoretical foundations and applications in functional analysis.

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

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 1, Part 1

Explore reproducing kernel Hilbert spaces of analytic functions in this advanced mathematics lecture, focusing on theoretical foundations and applications in complex analysis.

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

Schramm Loewner Evolution and Lattice Models - Advanced Course Lecture 1, Part 1

Explore Schramm Loewner Evolution and its connections to lattice models in this advanced mathematics lecture, delving into complex analysis and probability theory.

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

Algebraic Twists of Automorphic L-Functions

Explore advanced number theory concepts with Philippe Michel, focusing on algebraic twists of automorphic L-functions and their applications in modern mathematics.

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

Factorization of Completely Positive Matrices Using Iterative Projected Gradient Steps

Explore iterative projected gradient steps for factorizing completely positive matrices in this advanced mathematical lecture from the University of Vienna.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

An Introduction to the Langlands Program

Explore the fascinating Langlands Program, a groundbreaking mathematical theory connecting number theory, geometry, and representation theory, in this engaging lecture by Clifton Cunningham.

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

Invariant Measures in Simple Theories

Explore invariant measures in simple theories, delving into advanced concepts in model theory and their applications in mathematical logic and related fields.

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

Beautiful Pairs of Unstable Theories and Spaces of Definable Types

Explore unstable theories and definable types in model theory, examining beautiful pairs and their implications for mathematical logic and foundations.

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

A Primal-Dual Interior-Point Algorithm for Nonsymmetric Conic Optimization

Explore a primal-dual interior-point algorithm for nonsymmetric conic optimization, delving into advanced mathematical concepts and their applications in optimization theory.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Zagier's Polylogarithm Conjecture Revisited

Explore Zagier's Polylogarithm Conjecture with Herbert Gangl, delving into advanced number theory concepts and recent developments in this intriguing mathematical field.

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

Hyperbolic Fourier Series

Explore advanced mathematical concepts in hyperbolic Fourier series, delving into complex analysis and function spaces with expert insights from Håkan Hedenmalm.

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

Mini-course on Bergman Spaces - Part 3

Explore advanced concepts in Bergman spaces, focusing on analytic function theory and its applications in complex analysis and functional analysis.

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