MAT1501: Geometric Measure Theorey

Basic information

instructor: Robert Jerrard
office: 215 Huron, room 1001B
office hours: Tuesday 4-5, Wednesday 2-3, or by appointment.
email: rjerrard at math dot toronto dot edu

Lecture notes

Lecture notes and other material will be posted here, either typed or scanned handwritten notes, with the latter more likely as the semester progresses.

The typed notes in particular will be full of mistakes, most of which will just be typos (I hope). (In this way they will accurately reflect the lectures, which will also be full of mostly small mistakes, although in general not the same ones as in the notes.) A standing assignment in the class is to let me know about any mistakes that you spot, no matter how small. If you do not tell me about any mistakes, I will suspect that you are not reading the notes, since the mistakes are certainly there.


There will be two options.

Option 1 is the default. I recommend option 2 only for students who either already know something about GMT, or advanced students who are already working on some research topic with some connection, possibly tenuous, to the subject.

Option 1: Do enough exercises. The exercises will appear in the lecture notes. Many of them will be easy, more or less only requiring some simple manipulations using definitions. So at a minimum, this will force you to keep up, to some extent, with the lecture notes, and to be familiar with some basic definitions. Of course, some problems are harder, for people who like a challenge. But to obtain a good mark it is only necessary to do any exercises, say about 2 per week if you do easy ones. If you prefer harder exercises, a smaller number is fine.

If you choose this option, I will ask you to come to my office about every 4-5 weeks, tell me some exercises you have done, and be prepared to explain to me in detail the solution to one or two of them (consulting any notes you have, if you wish.)

Option 2: presentation + consulting. This will involve making some sort of presentation (details to be determined) about some research-related topic. For example, if you are an advanced graduate student working on some research topic that has some connection to GMT, you might explain to me something about that; or you might read a paper and tell me about it. Consulting means that you should also be available to answer questions, or at least to discuss questions, with students who are pursuing option 1.

If you prefer option 2, then please talk to me about possible presentation topics within the first 4-5 weeks of the term.


The main reference for the course will be lecture notes that will be made available during the course of the semester, see above. Additional references include the following: