Fields Institute Courses

Modelling Cancer Radiotherapy: Fractional vs Ordinary Differential Equations

Explore mathematical approaches to cancer radiotherapy modeling, comparing fractional and ordinary differential equations in this concise Fields Institute presentation.

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

Michaelis-Menten Kinetics and Singular Perturbation Methods in Mathematical Oncology

Explore Michaelis-Menten kinetics and singular perturbation methods in mathematical oncology, enhancing understanding of enzyme-substrate interactions and complex systems.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 5

Explore discrete group theory through geometric, arithmetic, and dynamic perspectives in this advanced mathematics lecture by Nikolay Bogachev.

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

Syzygies Beyond Projective Space

Explore advanced algebraic geometry concepts, focusing on syzygies beyond projective space, with insights from cutting-edge research in this specialized mathematical field.

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

The Worst 1-Parameter Subgroup for Toric Curve Singularities

Explore the intricacies of toric curve singularities and their worst 1-parameter subgroups in this advanced mathematical talk by Dave Swinarski from Fordham University.

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

Mixed Volumes of Chemical Reaction Networks

Explore mixed volumes in chemical reaction networks, focusing on mathematical applications in systems biology and biochemistry.

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

Wanted: Solutions of Square Polynomial Systems

Explore methods for solving square polynomial systems, focusing on enumerative geometry techniques and their applications in mathematical research.

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

Enumerative Geometry in A^1 Homotopy Theory

Explore enumerative geometry through A^1 techniques, uncovering new insights and applications in algebraic geometry with Duke University's Kirsten Wickelgren.

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

Geometry, Arithmetic, and Dynamics of Discrete Groups - Lecture 18

Explore advanced mathematical concepts in discrete groups, focusing on geometric principles, arithmetic relationships, and dynamic behaviors in group theory and related mathematical structures.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Applications of Extreme Statistics to Cellular Decision Making and Signaling

Explore how extreme statistics influence cellular behavior and decision-making processes, focusing on mathematical approaches in biological signaling systems.

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

Practical Parameter Identifiability and Handling of Censored Data with Bayesian Inference in Models of Tumour Growth

Explore Bayesian inference techniques for tumor growth modeling, focusing on parameter identification and censored data analysis in mathematical oncology research.

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

Prostate: Small Organ, Big Problems - Informing Clinical Decisions with Computational Models

Explore how computational models enhance clinical decision-making for prostate-related conditions through advanced mathematical and biological approaches.

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

Balancing Interpretability and Predictive Accuracy in Mathematical Models of T Cell Activation

Explore mathematical modeling approaches for T cell activation, examining the trade-offs between model interpretability and accuracy in immunological systems.

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

How Cancer-Associated Fibroblasts Promote T-Cell Exclusion in Human Lung Tumors: A Physical Perspective

Explore the physical mechanisms behind cancer-associated fibroblasts and their role in T-cell exclusion within lung tumors through mathematical and biological perspectives.

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

De-escalating PARP Inhibitor Maintenance Therapy in Ovarian Cancer Using Adaptive Therapy

Explore innovative approaches to PARP inhibitor maintenance therapy in ovarian cancer, focusing on adaptive treatment strategies and de-escalation methods for optimal patient outcomes.

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