UCLA Department of Mathematics

Joseph Breen



Welcome! I am currently a fifth year Ph.D. student in the department of mathematics at UCLA working under the advisement of Ko Honda. I graduated with a B.A. in mathematics from Northwestern University in 2016. My research interests are in contact and symplectic geometry.

Here is a copy of a (possibly old) CV: (pdf)

You can find and contact me at:

Preprints and Publications


Perhaps my main contribution to the world of math is mathematical music. Here is a link to a YouTube playlist of all of the songs I've made so far, which includes songs about the Fourier transfom, knot theory, contact geometry, calculus, and more.


This fall, I'm an instructor for Math 32AH. We will primarily use the CCLE webpage for all course material. If you're a former student wanting to sneak into my office hours to say hi or to get some help, please do! During my 32AH office hours I will prioritize 32AH students, but if there are no 32AH questions I'm happy to help anybody. Also, I'll have an open office hour where 32AH students are on equal footing with everyone else in terms of priority. The Zoom link for all office hours is https://ucla.zoom.us/j/95564988610?pwd=cERZZ1g2NGdobkUzYW5SdkxBSXZEQT09 and the schedule is:
32AH-priority office hours:
Open office hour:

Helpful links for courses I am not teaching right now:

YouTube channel: Joe Breen Math. There are many videos about Math 32B on this channel, as well as some for 31B and 32A, including some prerecorded videos about topics as well as recordings of livestreamed final review sessions for all three courses.
Math 31B:
Math 32A:
Math 32B:
In Spring 2020 I was a TA for an online 32B course, and throughout the quarter I made many videos about 32B. Here is a link to the full playlist of videos. They start out low-quality, but as I became a better video editor they improve over time.

Previous teaching: