Joseph Breen
About
Welcome! I am currently a fourth 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 my CV: (pdf)
You can find and contact me at:
- Office: MS 3915C
- E-mail: josephbreen@ucla.edu
Preprints and Publications
- Morse-Smale Characteristic Foliations and Convexity in Contact Manifolds. Preprint, 2019. (arXiv link)
- On the sign characteristic of Hermitian linearizations in DL(P). Joint work with M. Bueno, S. Ford, and S. Furtado. Linear Algebra and its Applications, 519 (2017), 73-101. (link)
Teaching
Math 31B: Integration and Infinite Series (Winter 2020)
Discussion section info:
- 1E: Tuesday 10-11 in DODD 167
- 1F: Thursday 10-11 in WGYOUNG CS76 (This is a large lecture hall with plenty of room. Anyone is welcome and encouraged to attend for additional 31B wisdom!)
When and where to find me:
- OFFICE HOURS: Monday 11:30-1, Thurday 1:30-3 (Both in my office, MS 3915C)
- SMC: Wednesday 11-12 in MS 3974 (My official SMC time slot is 11-12, but in general I will try to be there from 11:00-12:30)
Helpful links for 31B:
- Extra practice problems:
- Miscellaneous links and notes:
Unhelpful but interesting links for 31B:
Math 32A: Calculus of Several Variables (Winter 2020)
MIDTERM 1 REVIEW SESSION: Sunday January 26, 6:30 - 8:30 in BOELTER 2760
Discussion section info:
- 3C: Tuesday 12-1 in BUNCHE 3143
- 3D: Thursday 12-1 in MS 5118 (Note that this room is different than the initial room assignment!)
When and where to find me:
- OFFICE HOURS: Monday 1-2:30, Thurday 3-4:30 (Both in my office, MS 3915C)
- SMC: Wednesday 11-12 in MS 3974 (My official SMC time slot is 11-12, but in general I will try to be there from 11:00-12:30)
Helpful links for 32A:
- Extra practice problems:
- Miscellaneous notes:
Helpful links for courses I am not teaching right now:
Math 32B:
Previous teaching:
- Fall 2019: Math 31B: Integration and Infinite Series and Math 31A: Differential and Integral Calculus
- Summer 2019: CEED Summer Bridge Math 31B
- Spring 2019: Math 31B: Integration and Infinite Series
- Winter 2019: Math 31B: Integration and Infinite Series
- Fall 2018: Math 31B: Integration and Infinite Series
- Spring 2018: Math 115AH: Honors Linear Algebra and Math 33A: Linear Algebra and Applications
- Winter 2018: Math 31B: Integration and Infinite Series and Math 31B: Integration and Infinite Series
- Fall 2017: Math 31B: Integration and Infinite Series and Math 31AL: Differential and Integral Calculus Laboratory
- Spring 2017: Math 31B: Integration and Infinite Series
- Winter 2017: Math 31B: Integration and Infinite Series
- Fall 2016: Math 31B: Integration and Infinite Series
Writing
- Liouville and Weinstein Domains (pdf)
- A set of notes based on a lecture I gave in Math 234: Contact Geometry.
- Lectures in Harmonic Analysis (pdf)
- An incomplete work on harmonic analysis, adapted from my own lectures notes taken during Monica Visan's Winter 2017 247A and Spring 2017 247B courses.
- Fredholm Operators and the Family Index (pdf)
- My undergraduate senior thesis, written under the advisement of Ezra Getzler.
- An Introduction to Index Theory (pdf)
- An expository version of some of the above senior thesis.
- Path Connectedness and Invertible Matrices (pdf)
- Notes prepared for a lecture I gave for the Northwestern Undergraduate Math Society in the spring of 2016.
Other