Jason O'Neill

Email: jmoneill "at" ucsd.edu
Office: AP&M 5801

I am a third year math PhD student at UCSD. My research interests are in combinatorics and probability and in particular
Extremal set theory. My advisor is Jacques Verstraete. Before I was at UCSD, I did my undergrad at UCLA and graduated in 2017.

Along with Sam Spiro, I organize the Graduate Student Combinatorics Seminar (ABACUS) at UCSD. For more info, see (here).

I am on the organizing committee for the Graduate Student Combinatorics Conference which will be hosted at UCSD in March 2020.
For more info, see (here).

Papers and preprints:

Maximal non-trivial intersecting families - In Preparation
Nontrivial d-wise intersecting families (with Jacques Verstraete) - Submitted (pdf)
Bollobás set k-tuples (with Jacques Verstraete) - Submitted (pdf)
On the poset and asymptotics of Tesler matrices - The Electronic Journal of Combinatorics, 2018. (pdf)

Research Talks and Poster Sessions:

UCSD Combinatorics Seminar - Spring 2020
AMS Regional Special Session - November 2019
Bollobás set k-tuples; Graduate Student Combinatorics Conference, UPenn/Drexel, April 2019
Bollobás-type inequalities on set k-tuples; UCSD Combinatorics Seminar, March 2019
On the poset and asymptotics of Tesler matrices; Poster session ALGECOM at UIUC, April 2017
On asymptotics and combinatorics of Tesler matrices in diagonal harmonics; Poster session at Joint Math Meeting in Seattle, January 2016

Slides:

Nontrivial d-wise Intersecting Families (20 min).
Bollobás set k-tuples (20 min) (50min)
On the poset and asymptotics of Tesler matrices (50 min)

Expository notes:

Through the ABACUS graduate student seminar, we have compiled the following unpolished notes on a particular topic each term at UC San Diego.

Linear Algebra methods in Combinatorics (Notes)

Teaching:

For the Winter 2020 Quarter, I will not be teaching. In the past, I have been a teaching assistant in the following courses.

Math 158: Extemal Combinatorics and Graph Theory (Evaluations)
Math 109: Mathematical Reasoning (Evaluations)
Math 154: Graph Theory (Evaluations)
Math 103A: Modern Algebra 1 (Evaluations) (Discussion Problems)
Math 109: Mathematical Reasoning (Evaluations) (Discussion Problems)
Math 10C: Calculus III (Evaluations)
Math 187A: Introduction to Crytography (n\a)
Math 184A: Combinatorics (n\a)
Math 20B: Calculus II (Evaluations)

(n\a indicates that there were not enough evaluations submitted to release the results. This is done to protect the anonymity of the students.)

While I was in undergrad at UCLA, I served as an assistant instructor at the Los Angeles Math Circle where I worked with children from 6th to 9th grade. Read more about LAMC (here).

Miscellaneous:

Outside of math, I like to run and play and watch basketball. I also currently serve as a representative for the math department
in the Graduate Student Association. For more info on this, see (here). I am also serving on the Climate Action and Policy Committee (CAP)
within the GSA which was recently featured (here).