Jason O'Neill

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

About me:

I am a fifth year math PhD student at UCSD and will graduate in June 2022. As of Fall 2022, I will be an Assistant Professor in the Mathematics Department at Cal State LA.

My research interests are in combinatorics and in particular extremal set theory for which I am fortunate to be advised by Jacques Verstraete. Before I was at UCSD, I did my undergrad at UCLA and graduated in 2017. My CV can be found (here).

For the 2021-22 academic term, I am coordinating and teaching Math 500 -- TA Training at UC San Diego. The syllabus for the course may be found (here) and all other course material will be on canvas.

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 was initially planed in 2020, but was posponed to 2022 due to the COVID-19 pandemic. For more info, see here.

Papers and preprints:

  • Intersection saturated set systems (with Jacques Verstraete) - In preparation
  • Odd covers of graphs (with C. Buchanan, A. Clifton, E. Culver, J. Nie, P. Rombach, M. Yin) - Submitted (pdf)
    Work done as part of GRWC 2021 (see here for more on the workshop)
  • Towards supersaturation for oddtown and eventown - Submitted (pdf)
  • Saturation problems in convex geometric hypergraphs (with Sam Spiro) - Submitted (pdf)
  • A note on k-wise oddtown problems (with Jacques Verstraete) - To appear in Graphs and Combinatorics (pdf)
  • Extremal problems for pairs of triangles (with Zoltán Füredi, Dhruv Mubayi, Jacques Verstraete) - J. of Combin. Theory Series B, 155, 2022 (pdf)
  • A generalization of Bollobás set pair inequality (with Jacques Verstraete) - The Electronic Journal of Combinatorics, 28(3), 2021 (pdf)
  • Nontrivial d-wise intersecting families (with Jacques Verstraete) - J. of Combin. Theory Series A, 178, 2021 (pdf)
  • On the poset and asymptotics of Tesler matrices - The Electronic Journal of Combinatorics, 25(2), 2018 (pdf)