Geometric Analysis Courses and Certifications

Conference GSI

Geometric Deep Learning: A Temperature-Based Analysis of Graph Neural Networks

Explore graph neural networks through temperature-based analysis in geometric deep learning, uncovering insights into their behavior and performance.

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

Institute for Advanced Study

Insights into the Geometric Harmonic Analysis Associated to 1-Parameter Sets

Explore geometric harmonic analysis of 1-parameter sets with insights from D. Dominique Kemp's research at the Institute for Advanced Study.

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

University of Nevada, Las Vegas

Digital to Physical: Repetition + Difference: Component-to-System Relationships

Explore parametric design through component creation, geometric analysis, and spatial system development, culminating in a domestic installation that showcases innovative thinking and fabrication skills.

• Kadenze
• 24 hours
• On-Demand
• Paid Course

Architectural Mechanics

Master fundamental principles of structural engineering, from force systems and material mechanics to deformation analysis and static structure calculations.

• XuetangX
• On-Demand
• Free Online Course

The Royal Institution

The Extraordinary Theorems of John Nash

Explore John Nash's revolutionary contributions to game theory and geometric analysis with Fields Medal winner Cédric Villani, delving into the world of mathematical genius and groundbreaking theorems.

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

Michael Penn

The Geometry of the Third Derivative - Understanding Curves and Their Rate of Change

Explore the geometric interpretation and significance of third derivatives in calculus through clear visual explanations and mathematical insights.

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

Insights into Mathematics

Lines and Parabolas - Quadratic Polynomials and Geometric Relations

Explore advanced parabola concepts: algebraic calculus, subderivatives, tangent lines, Taylor expansions, and geometric relations. Learn to analyze and graph parabolas using completing the square method.

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

International Centre for Theoretical Sciences

Harmonic Maps Between Surfaces and Teichmüller Theory - Lecture 1

Explore harmonic maps between surfaces, their applications, and connections to Teichmüller theory in this advanced lecture on geometric analysis and complex geometry.

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

International Centre for Theoretical Sciences

The Mathematics of Soap Bubbles

Explore the fascinating mathematical principles behind soap bubbles' perfect spherical shape and discover connections to physics, integrable systems, and ongoing research.

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

ICTP Mathematics

Second Order Conformally Invariant Elliptic Equations - Lecture 4

Explore advanced mathematical concepts in conformally invariant elliptic equations, focusing on second-order systems and their applications in geometry, physics, and probability theory.

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

ICTP Mathematics

Motion by Curvature of Networks in the Plane - Lecture 3

Explore advanced concepts in geometric analysis, focusing on motion by curvature of planar networks. Delve into complex mathematical theories and their applications in this specialized lecture.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

ICTP Mathematics

Singularities of the Mean Curvature Flow of Mean Convex Hypersurfaces - Lecture 2

Explore singularities in mean curvature flow of convex hypersurfaces, focusing on advanced mathematical concepts and their implications in geometric analysis.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure III

Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.

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

Hausdorff Center for Mathematics

Functional Inequalities and Concentration of Measure II

Explores concentration inequalities in probability and geometric analysis, focusing on functional inequalities like Poincaré and log-Sobolev. Covers properties, applications to Lipschitz functions, and various measure settings.

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

Hausdorff Center for Mathematics

Descriptive Geometry of Function Spaces

Explore the intricate world of function spaces and their descriptive geometry in this advanced mathematical lecture by Shmuel Weinberger, part of the Hausdorff Trimester Program.

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