Thomas Gilton

Teaching Assistant Professor
Department of Mathematics, University of Pittsburgh

Thackeray 622
Email: tdg25 "at" pitt "dot" edu

My research is in mathematical logic and set theory. More specifically, I focus on using the technique of Forcing to prove that various combinatorial principles are consistent with ZFC Set Theory. I focus on generalizations of Ramsey's Theorem to the uncountable obtained by putting topological restraints on the colorings, as well as on various compactness and incompactness principles that measure how close a model of set theory is to Godel's Constructible Universe. Many of the latter involve Large Cardinals.

Publication List

(In reverse chronological order)

Other Writing

For a copy of my Ph.D. thesis, go here. For a copy of my CV, go here