Math 260R: Advanced Measure Theory

Professor: Katy Craig, katy•craig at ucsb • edu

Lecture: Tuesday and Thursday, 12:30-1:45pm

Lecture Location: Arts 1356

Office Hours: Tuesdays and Wednesdays 11:15am-12:15pm, SH 6507

Recommended References:

  • Folland, Real Analysis
  • Maggi, Sets of Finite Perimeter and Geometric Variational Problems

Exams: none.

Presentations: List of Suggested Topics

All students will give a 15-30 minute presentation on a topic related to the course. The dates of presentations are listed on the course schedule below.

  • 2 weeks before presentation: List of suggested topics will be updated. Volunteers sign up for chosen topic.
  • 1 week before presentation: Meet with me in office hours to present the detailed notes you will use to present. (Rule of thumb: 1 page of notes = 5 minutes; time yourself to calibrate!)

Grading Scheme: Presentation 50%, Class participation: 50%

Prerequisites: Measure theory

Schedule:

topic lecture notes
1 Mar 31 (T) measure theory review and Hausdorff measure LEC1
2 Apr 2 (Th) Signed measures and the Hahn Decomposition LEC2
3 Apr 7 (T)
4 Apr 9 (Th)
5 Apr 10 (F)
6 Apr 14 (T)
7 Apr 16 (Th)
8 Apr 21 (T)
9 Apr 23 (Th) presentations I
10 Apr 28 (T)
11 Apr 30 (Th)
12 May 5 (T) presentations II
13 May 7 (Th)
14 May 12 (T)
15 May 14 (Th) presentations III
16 May 19 (T)
17 May 21 (Th)
- May 26 (T) (no class)
18 May 28 (Th) presentations IV
19 Jun 2 (T)
20 Jun 4 (Th)