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.

**SOME TALKS:**

- 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.

**SLIDES:**

- Infinite Vatican Squares, October 2020.
- Subcomplete forcing, trees, and generic absoluteness from the Winter School in Abstract Analysis; Section in Topology & Set Theory, in January 2018.
- The (Subcomplete) Maximality and Resurrection Principles from the European Set Theory Conference, 2017.
- My dissertation defense on 7 April 2017.
- Split Principles from JMM 2017.
- Subcomplete Forcing and Trees from BEST 2016.

**PAPERS:**

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