Geometric Measure Theory Courses and Certifications

International Mathematical Union

Weighted Fourier Extension Estimates and Applications

Explore weighted Fourier extension estimates and their applications in PDEs and geometric measure theory with Xiumin Du, in a short program by the International Mathematical Union.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Bala Krishnamoorthy: Linear Programming in Geometric Measure Theory

Explore Linear Programming in Geometric Measure Theory with the Applied Algebraic Topology Network. Less than 1 hour of material.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Endpoint Fourier Restriction and Unrectifiability

Explore Fourier restriction and unrectifiability in this less than 1-hour talk by Giacomo Del Nin from the Hausdorff Center for Mathematics.

• YouTube
• 29 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Harmonic Analysis Techniques for -Almost- Minimizers

Explore harmonic analysis techniques for (Almost-)Minimizers with the Hausdorff Center for Mathematics. Dive into free boundary theory, calculus of variations, and geometric measure theory in under an hour.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems - Lecture III

Explore the regularity of free boundaries in obstacle problems with Xavier Ros-Oton at the Hausdorff Center for Mathematics. Understand PDE, Calculus of Variations, and Geometric Measure Theory in under 1 hour.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems Lecture I

Explore the regularity of free boundaries in obstacle problems with the Hausdorff Center for Mathematics. Understand PDE, Calculus of Variations, and Geometric Measure Theory in under 1 hour.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

The Restriction Problem and the Polynomial Method - Lecture I

Explore Stein's restriction conjecture and the Kakeya conjecture with the polynomial method in this less than 1-hour material from the Hausdorff Center for Mathematics.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

Dive into geometric measure theory and optimal transport with this 1-2 hour study from ICTP Mathematics, led by experts from the University of Zurich and Max Planck Institute.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

Dive into geometric measure theory and optimal transport with ICTP Mathematics. Learn about area-minimizing currents, boundaries, and integration in just 1-2 hours.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics III

Explore Gaussian isoperimetry, its applications in probability and analysis, and its connections to other areas in this under 1-hour material from Hausdorff Center for Mathematics.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics II

Explore Gaussian isoperimetry, its applications in probability and analysis, and its connections to other areas in this under 1-hour material from Hausdorff Center for Mathematics.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Gaussian Isoperimetry and Related Topics I

Explore Gaussian isoperimetry, its applications in probability and analysis, and its connections to other areas in this less than 1-hour material from Hausdorff Center for Mathematics.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Intrinsic Volumes on Pseudo-Riemannian Manifolds

Explore intrinsic volumes on pseudo-Riemannian manifolds in this under 1-hour material from Hausdorff Center for Mathematics, featuring theories and fundamental results.

• YouTube
• 30 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Steve Hofmann - Quantitative Rectiability, and Harmonic and Caloric Measure III

Dive into quantitative rectifiability and harmonic and caloric measures with Steve Hofmann's short program from the Hausdorff Center for Mathematics.

• YouTube
• 50 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems - Lecture IV

Explore free boundary problems in various fields with Xavier Ros-Oton's lecture at the Hausdorff Center for Mathematics. Understand the regularity of free boundaries in less than an hour.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course