Fields Institute Courses

Non-Hausdorff Groupoids and Purely Infinite C*-Algebras

Explore non-Hausdorff groupoids and purely infinite C*-algebras in this advanced mathematics talk, delving into complex algebraic structures and their applications.

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

The Zappa–Szép Product of a Fell Bundle by a Groupoid

Explore advanced mathematical concepts in operator algebras, focusing on the Zappa–Szép product of a Fell bundle by a groupoid, presented by Anna Duwenig from KU Leuven.

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

Notes on Regular Ideals of C*-Algebras

Explore regular ideals in C*-algebras with Sarah Reznikoff, covering key concepts and applications in operator algebra theory.

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

Groupoids in Analysis and Algebra

Explore the role of groupoids in analysis and algebra, examining their applications and significance in operator algebras and related mathematical fields.

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

Opening up Quantum Criticality

Explore quantum criticality, long-range entanglement, and open quantum systems. Discover local adaptive circuits, critical mixed states, and their implications for quantum information theory.

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

On Modeling Investors in Simulated Markets

Explore multi-agent market simulations, from market replay to advanced AI-driven models. Learn about trading agent design, market impact analysis, and applications in financial research.

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

Animal Movement and Emergent Patterns of Space Use - A Personal Journey With Plentiful References to Mark Lewis

Explore animal movement, territoriality, and space use patterns through mathematical models and ecological insights, featuring personal research experiences and collaborative work.

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

The Planar Stochastic Heat Equation and the Directed Landscape

Explore stochastic heat equations and directed landscapes in probability theory, focusing on models, solutions, and applications in mathematical physics and statistical mechanics.

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

Out of the Closet and Into the Mirror

Explore algebraic geometry, Calabi-Yau varieties, and mirror symmetry with insights on finding the right mathematical community and research spaces for LGBTQ+ mathematicians.

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

Quantum Algorithms - From Far to Near Future

Explore quantum algorithms' evolution, from Hamiltonian simulations to empirical hardness models, and their applications in quantum field theory and state preparation.

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

Combinatorial Atlas for Log-Concave Inequalities

Explore log-concave inequalities in combinatorics, focusing on matroids, Mason's Conjecture, and hyperbolic inequalities. Learn about refinement techniques and equality conditions.

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

Equal Risk Option Pricing with Deep Reinforcement Learning

Explore innovative option pricing using deep reinforcement learning, focusing on equal risk approaches, hedging strategies, and market dynamics. Gain insights into advanced quantitative finance techniques.

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

Varieties of Mathematical Understanding

Explore diverse forms of mathematical comprehension, challenges in theorem-proving, and the evolving nature of understanding in mathematics through historical and philosophical lenses.

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

Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems

Explore rigorous data-driven methods for computing spectral properties of Koopman operators in dynamical systems, focusing on Residual Dynamic Mode Decomposition and its applications.

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

Donald Coxeter and Geometry

Explore Donald Coxeter's contributions to geometry, including non-Euclidean geometries, higher dimensions, and connections to art and music in this engaging mathematical journey.

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