My primary research interests lie in set theory; large cardinals and forcing. In particular, I have worked extensively with subcomplete forcing notions, defined by Ronald B. Jensen.

My thesis advisor at The Graduate Center, CUNY was Gunter Fuchs.


  • A list of abstracts of the talks that I have given in the Set Theory Seminar at the Graduate Center of CUNY are posted on NY Logic. (Here is the temporary site.)
  • Video of talk given for the First Friday Math Math Seminar at Bard College at Simon’s Rock, Oct 2020.



  1. Infinite Latin Squares: Criticality and Unique Completability, with Emma Hasson*, M. A. Ollis, Yolanda Zhu*, 2022. In preparation. (*Undergraduate students)
  2. Metacognitive Assessments for Undergraduate Mathematics Courses in the Time of COVID-19, with Amanda K. Landi, 2021. Published in PRIMUS.
  3. Combining Maximality and Resurrection, 2021. Published in the JSL.
  4. Infinite Latin Squares: Neighbor Balance and Orthogonality, with Anthony B. Evans, Gage N. Martin and M. A. Ollis, 2020. Published in the Electronic Journal of Combinatorics.
  5. The Subcompleteness of Diagonal Prikry Forcing, 2019. Published in the Archive for Mathematical Logic.
  6. Subcomplete forcing, trees, and generic absoluteness, with Gunter Fuchs, 2018. Published in the Journal of Symbolic Logic.
  7. Here is my PhD dissertation On Subcomplete Forcing, 2017.
  8. Here is Split Principles, Large Cardinals, Splitting Families, and Split Ideals, joint work with Gunter Fuchs, 2017. In preparation.