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 a list of some of the talks given at the Student Set Theory Seminar.
- Some of my talks are also posted on Set Theory Talks.
- Here are the slides from my talk on Subcomplete Forcing and Trees at BEST 2016.
- Here are the slides from my talk on Split Principles at JMM 2017.
- Here are the slides from my dissertation defence on 7 April 2017.
- Here are the slides from my talk on The (Subcomplete) Maximality Principle and Resurrection Axiom at the European Set Theory Conference, 2017.
- To be posted: slides from my talk on Subcomplete forcing, trees, and generic absoluteness at the Winter School in Abstract Analysis; Section in Topology & Set Theory, in January 2018.
- Neighbor Balance in Infinite Latin Squares, with Gage N. Martin and M. A. Ollis. (In preparation)
- The Subcompleteness of Generalized Diagonal Prikry Forcing. (In preparation)
- Here is the Subcomplete forcing, trees and generic absoluteness paper posted on arXiv, joint work with Gunter Fuchs. (Under Review)
- Here is the Split Principles, Large Cardinals, Splitting Families and Split Ideals paper posted on arXiv, joint work with Gunter Fuchs. (Submitted)
- Here is my PhD dissertation On Subcomplete Forcing.