Fields Institute Courses

Mathematical Modelling of Error Propagation in the Classroom - Inauguration of a New Path

Explore innovative mathematical modeling techniques for analyzing error propagation in educational settings, opening new avenues for improving teaching and learning outcomes.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Commutator Subgroups and Subalgebras in Toric Topology

Explore commutator subgroups and subalgebras in toric topology with Fedor Vylegzhanin. Gain insights into advanced mathematical concepts and their applications in this specialized field.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Cluster Algebras and Monotone Lagrangian Tori

Explore the connection between cluster algebras and monotone Lagrangian tori in this advanced mathematics talk, delving into complex geometric structures and algebraic relationships.

• YouTube
• 44 minutes
• On-Demand
• Free Video

The Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group

Explore the Lie algebra's connection to lower central series in right-angled Coxeter groups, delving into advanced mathematical concepts and their implications.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Splines, Equivariant Cohomology, and Applied Mathematics

Explore connections between splines, equivariant cohomology, and applied mathematics in this advanced mathematical talk by Julianna Tymoczko from Smith College.

• YouTube
• 37 minutes
• On-Demand
• Free Video

Steenrod Operations on Polyhedral Products

Explore Steenrod operations on polyhedral products in this advanced mathematics talk, delving into toric topology and geometric structures.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Automorphisms of GKM Graphs and Regular Semisimple Hessenberg Varieties

Explore automorphisms of GKM graphs and regular semisimple Hessenberg varieties in this advanced mathematical talk by Mikiya Masuda, delving into toric topology and geometry.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Mathematical Modelling of MGMT Dynamics in Glioblastoma - Influence of Methylation Status and Phenotypic Selection in Cell Death Resistance

Explore MGMT dynamics in glioblastoma through mathematical modeling, examining methylation status and phenotypic selection in cell death resistance.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Mathematical Modelling of Microtube-Driven Regrowth of Glioma After Local Resection

Explore mathematical modeling of glioma regrowth post-resection, focusing on microtube-driven mechanisms and their impact on tumor recurrence and treatment strategies.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Forerunners of Cancer Hallmarks - Explainable Machine Learning in Early Cancer Diagnosis

Explore explainable machine learning techniques for early cancer detection, focusing on identifying precursor signs of cancer hallmarks to improve diagnostic accuracy and patient outcomes.

• YouTube
• 22 minutes
• On-Demand
• Free Video

The Hallmarks of Cancer - A Mathematical Perspective

Explore mathematical perspectives on cancer hallmarks, including proliferation, growth suppression, cell death, and metastasis, through differential equations and modeling techniques.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Essential Dimension in Algebra

Explore the concept of essential dimension in algebra, its applications, and recent developments with renowned mathematician Alexander Merkurjev from UCLA.

• YouTube
• 41 minutes
• On-Demand
• Free Video

Hasse Principle for Function Fields

Explore the Hasse principle's application to function fields, delving into its mathematical implications and theoretical foundations.

• YouTube
• 37 minutes
• On-Demand
• Free Video

How Will AI Affect Mathematical Research

Explore AI's impact on mathematical research with insights from David Mumford of Brown University, discussing potential transformations and future directions in the field.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Life Through the Keyhole of Mathematics

Explore how mathematics illuminates our understanding of life, offering unique perspectives on biological processes and evolutionary patterns.

• YouTube
• 41 minutes
• On-Demand
• Free Video