Fields Institute Courses

Matroid Tautological Classes in Types A and B

Explore matroid tautological classes in Types A and B, covering definitions, examples, applications, and connections to root systems and Hodge theory.

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

Phylogenetic Algebraic Geometry

Explore phylogenetic algebraic geometry, its applications in species history reconstruction, and the use of algebraic and geometric perspectives to solve phylogenetic problems.

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

Artin Reciprocity via Spheres

Explore Artin reciprocity through spheres, covering functionality, logical construction, global fields, spectra, and K theory in this advanced mathematics lecture.

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

Mathematical Modeling of Diseases Spread - The Dextrous Use of Simple Machine-Learning Tools

Explore machine learning techniques for modeling disease spread, focusing on data preparation, model training, and interpreting results to inform public health policies.

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

Perfect 1-Factorisations and Hamiltonian Latin Squares

Explore perfect 1-factorisations, Hamiltonian Latin squares, and their connections to designs and cryptography in this advanced mathematics talk by Ian Wanless.

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

Towards Reduction of Singularities of Generalized Analytic Functions

Explore generalized analytic functions, focusing on singularity reduction techniques and their applications in tame geometry, with insights from complex analytic and nonarchimedean methods.

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

Wastewater-Based Modelling to Support COVID-19 Surveillance

Explore wastewater-based modeling for COVID-19 surveillance, covering viral concentration, error sources, data fitting, and practical applications in tracking pandemic waves.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

MCMC Training of Bayesian Neural Networks

Explore Bayesian Neural Networks, MCMC methods, and their applications in machine learning with Prof. Radford Neal. Gain insights into flexible modeling and practical implementations.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Differential Equations and Mixed Hodge Structures

Explore the interplay between differential equations and mixed Hodge structures, focusing on periods, kappa series, and motific gamma in number theory and algebraic geometry.

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

About Dulac's Problem in R3 for Perturbations of Linear Non-Degenerated Centers

Explora el problema de Dulac en R^3 para perturbaciones de centros lineales no degenerados, analizando mapas de retorno, conjuntos de ciclos y técnicas de explosión para sistemas dinámicos.

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

Hedging with Automatic Liquidation and Leverage Selection on Bitcoin Futures

Explore Bitcoin futures hedging strategies, including automatic liquidation and leverage selection, with insights on trading mechanics, speculation metrics, and empirical results.

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

The Five Futures of Currency - Fiat vs CBDC, Stablecoins, & Crypto

Explore the future of currency, comparing fiat, CBDCs, stablecoins, and crypto. Analyze potential impacts on privacy, financial institutions, global trade, and societal structures.

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

On the Inherent Fragility of DeFi Lending

Explore the vulnerabilities of decentralized finance lending, focusing on crypto collateral volatility, smart contracts, and market dynamics. Gain insights into DeFi risks and potential improvements.

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

A Class of Two-Dimensional Model Sets from One-Dimensional Substitutions

Explore two-dimensional model sets derived from one-dimensional substitutions, focusing on Fibonacci and Fibinoid patterns, cut-and-project schemes, and Rauzy fractals in aperiodic tilings.

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

Spectral Theory of Regular Sequences

Explore spectral theory of regular sequences, focusing on integer sequences, ghost measures, and dilation equations. Gain insights into Stern's and Zaremba's sequences and their applications.

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