Park City Mathematics Institute 2010

I gave the Undergraduate Faculty Lectures in 2010 in Park City with the help of Tom Asaki who created and led the rather intensive labs that were associated with the event. My lectures consisted of two parts: the 15 lecture series on Image Analysis to undergraduate faculty and 6 lectures to a eclectic audience of undergraduates, graduates and faculty on Geometric Measure Theory. The theme of the Institute that summer was the mathemetics of Image analysis.

Undergraduate Faculty Program Lectures

There were 15 lectures and a bunch of hands on labs using matlab to illustrate the ideas in the lecutures. The participants were all professors themselves and were a very talented bunch, including a fair number who were experts in geometric analysis. It was a lot of fun to give the lectures and interact with this bunch of people.

• UFP Lecture 1

• UFP Lecture 2

• UFP Lecture 3

• UFP Lecture 4

• UFP Lecture 5

• UFP Lecture 6

• UFP Lecture 7

• UFP Lecture 8

• UFP Lecture 9

• UFP Lecture 9 added notes

• UFP Lecture 10

• UFP Lecture 11

• UFP Lecture 12

• UFP Lecture 13

• UFP Lecture 14

• UFP Lecture 15

• UFP Syllabus

• Steiner-Minkowski Notes

• Extracts from SF Talk: part 1

• Extracts from SF Talk: part 2

Geometric Measure Theory Lectures

In this series of 6 lectures, I gave a introduction to geometric measure theory with added emphasis on pieces of Federer 4.5.9 and Federer’s 1959 Curvature Measure paper. Here are the pieces:

• GMT Lecture 1

• GMT Lecture 2

• GMT Lecture 3

• GMT Lecture 4

• GMT Lecture 5

• GMT Lecture 6

• Federer 4.5.9

• Federer 1959

Papers

There were a number of papers that we used in the lab as inspiration for projects, Here is what I had in my list from the event

• Baudes et al 1

• Baudes et al 2

• Chambolle

• Chan Vese

• Coifman et al 1

• Coifman et al 2

• Fraser et al 1

• Fraser et al 2

• Morgan et al

• Rudin et al

• vixie et al