Fields Institute Courses

Dispersal Evolution in Climate-Driven Range Shifts

Explore how climate change impacts species' range shifts and dispersal evolution, examining mathematical models and ecological implications for biodiversity conservation.

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

Tensor Harish-Chandra–Itzykson–Zuber Integral & Entanglement Detection in Multipartite Quant Systems

Explore tensor integrals and their applications in quantum entanglement detection, focusing on multipartite systems and advanced mathematical concepts in quantum physics.

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

How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 3

Explore advanced concepts in quantum field theory and noncommutative geometry, focusing on topological recursion and its applications in organizing quantum fields.

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

Construct Your Design Explicitly! If You Can

Explore explicit construction methods for combinatorial designs, focusing on their advantages and challenges in mathematical research and applications.

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

Remembering Rudi Mathon

Tribute to mathematician Rudi Mathon, highlighting his contributions to designs, codes, and cryptography. Explores his legacy and impact on the field.

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

How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 2

Explore advanced concepts in quantum field theory, focusing on topological recursion and its application to noncommutative geometries in this advanced mathematics lecture.

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

Packings of Partial Difference Sets

Explore the mathematical concept of packings of partial difference sets in this concise talk by Shuxing Li, delving into new advances in designs, codes, and cryptography.

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

Speeding Up Multi-Scalar Multiplication over Fixed Points

Explore techniques to accelerate multi-scalar multiplication over fixed points, enhancing efficiency in cryptographic operations and mathematical computations.

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

Quantum Gravity From Integration Over Dirac Ensembles

Explore the intersection of quantum gravity and Dirac ensembles in this advanced physics lecture, delving into cutting-edge theories and mathematical frameworks.

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

Jeff and Doug's Excellent Math Adventure

Explore new advances in designs, codes, and cryptography with Jeffrey Dinitz in this engaging 34-minute talk, highlighting recent developments and future directions in the field.

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

Transseries and Discrete Dynamical Systems

Explore transseries and their applications in discrete dynamical systems, focusing on interactions between o-minimal, complex analytic, and nonarchimedean methods.

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

Strongly Linear Maps on Bounded Hahn Fields- Applications to Derivations, Logarithms, Automorphisms

Explore strongly linear maps on bounded Hahn fields and their applications to derivations, logarithms, and automorphisms in this advanced mathematics lecture.

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

Generalised Power Series Determined by Linear Recurrence Relations

Explore generalised power series and linear recurrence relations in this advanced mathematics talk, covering determined sets, Hahn fields, and Rayner fields.

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

Partial Desingularization

Explore partial desingularization in tame geometry, examining interactions between o-minimal, complex analytic, and nonarchimedean methods.

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

Dichotomy Interlacement Versus Hardy in Definable ODE's

Explore the interplay between dichotomy interlacement and Hardy's theory in definable ordinary differential equations, delving into advanced mathematical concepts and their applications.

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