Math 600 A - Spring 2020
Mini-courses
G. Alberti
Introduction to minimal surfaces and finite perimeter sets (Part 1)
Introduction to minimal surfaces and finite perimeter sets (Part 2))
Introduction to minimal surfaces and finite perimeter sets (Part 3)
Introduction to minimal surfaces and finite perimeter sets (Part 4)
Introduction to minimal surfaces and finite perimeter sets (Part 5)
Panagiota Daskalopoulos
Ancient solutions to geometric flows (Part 1)
Ancient solutions to geometric flows (Part 2)
Ancient solutions to geometric flows (Part 3)
Ancient solutions to geometric flows (Part 4)
Guy David
Minimal sets (Part 1)
Minimal sets (Part 2)
Minimal sets (Part 3)
Camillo De Lellis
Center manifolds and regularity of area-minimizing currents (Part 1)
Center manifolds and regularity of area-minimizing currents (Part 2)
Center manifolds and regularity of area-minimizing currents (Part 3)
Center manifolds and regularity of area-minimizing currents (Part 4)
Center manifolds and regularity of area-minimizing currents (Part 5)
DeGiorgi and Almgren in a simple setting (Part 1)
DeGiorgi and Almgren in a simple setting (Part 2)
DeGiorgi and Almgren in a simple setting (Part 3)
DeGiorgi and Almgren in a simple setting (Part 4)
Eugenia Malinnikova
Quantitative unique continuation for solutions of second order elliptic equations (Part 1.1)
Quantitative unique continuation for solutions of second order elliptic equations (Part 1.2)
Quantitative unique continuation for solutions of second order elliptic equations (Part 1.3)
Quantitative unique continuation for solutions of second order elliptic equations (Part 2.1)
Quantitative unique continuation for solutions of second order elliptic equations (Part 2.2)
Quantitative unique continuation for solutions of second order elliptic equations (Part 3.1)
Quantitative unique continuation for solutions of second order elliptic equations (Part 3.2)
Quantitative unique continuation for solutions of second order elliptic equations (Part 4.1)
Quantitative unique continuation for solutions of second order elliptic equations (Part 4.2)
Laplace Eigenfunctions on Surfaces (Lecture 1)
Laplace Eigenfunctions on Surfaces (Lecture 2)
Laplace Eigenfunctions on Surfaces (Lecture 3)
Laplace Eigenfunctions on Surfaces (Lecture 4)
Andrea Marchese
An introduction to branched transport (Lecture 1)
An introduction to branched transport (Lecture 2)
An introduction to branched transport (Lecture 3)
An introduction to branched transport (Lecture 4)
Connor Mooney
The Monge-Ampère Equation 1
The Monge-Ampère Equation 2
The Monge-Ampère Equation 3
The Monge-Ampère Equation (notes 1)
The Monge-Ampère Equation (notes 2)
Aaron Naber
Rectifiable Reifenberg for measures (Part 1.1)
Rectifiable Reifenberg for measures (Part 1.2)
Rectifiable Reifenberg for measures (Part 2.1)
Rectifiable Reifenberg for measures (Part 2.2)
Rectifiable Reifenberg for measures (Part 3.1)
Rectifiable Reifenberg for measures (Part 3.2)
Rectifiable Reifenberg for measures (Part 4.1)
Rectifiable Reifenberg for measures (Part 4.2)
Arshak Petrosyan
The thin obstacle problem (Class 1)
The thin obstacle problem (Class 2)
The thin obstacle problem (Class 3)
Xavier Ros-Oton
Regularity Theory for Free Boundary Problems (Lecture 1)
Regularity Theory for Free Boundary Problems (Lecture 2)
Regularity Theory for Free Boundary Problems (Lecture 3)
Regularity Theory for Free Boundary Problems (Lecture 4)
Yoshiro Tonegawa
Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 1)
Analysis on the mean curvature flow and the reaction-diffusion approximation (Part2 )
Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 3)
Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 4)
Analysis on the mean curvature flow and the reaction-diffusion approximation (Part 5)
Introduction to Brakke's mean curvature flow (Part 1)
Introduction to Brakke's mean curvature flow (Part 2)
Introduction to Brakke's mean curvature flow (Part 3)
Introduction to Brakke's mean curvature flow (Part 4)
Tatiana Toro
Geometry of measures and applications (Part 1)
Geometry of measures and applications (Part 2)
Geometry of measures and applications (Part 3)
Geometry of measures and applications (Part 4)
Geometry of measures and applications (Part 5)
Uniform rectifiability via perimeter minimization (Part 1)
Uniform rectifiability via perimeter minimization (Part 2)
Uniform rectifiability via perimeter minimization (Part 3)
Uniform rectifiability via perimeter minimization (Part 4)