“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” — John von Neumann
Welcome to my blog! I am a visiting scholar at the CUNY Graduate Center. My research is in an area of Mathematics called Set Theory. At the very foundation, all mathematical objects are sets. Set Theory, which studies the properties of sets, explores the foundations of mathematics. My CV is here.
I am a coorganizer of the CUNY Set Theory Seminar at the Graduate Center. Follow CUNY logic seminars Follow @CUNYLogic.
To contact me, send an email to vgitman at nylogic dot org.
Recent Writing
Model theoretic characterizations of large cardinals revisited
The virtual large cardinal hierarchy
Abstract Logics
Recent and Upcoming Talks

Class forcing in its rightful setting
This is a talk at the Kurt Godel Research Seminar, University of Vienna, June 25, 2020 (virtual).
Slides 
Elementary embeddings and smaller large cardinals
This is a talk at the Oxford Logic Seminar, Oxford University, May 6, 2020 (virtual).
Slides Video 
Toy multiverses of set theory
This is a talk at the Winter ASL Meeting, Denver, January 1718, 2020.

Ramseylike cardinals
This is a talk at the Algebra and Logic Seminar, University of Denver, January 14, 2020.
Slides 
Ground model definability in ${\rm ZF}$
This is a talk at the Joint Mathematics Meeting, special session on 'Choiceless Set Theory and related areas', University of Denver, January 1516, 2020.
Slides 
Toy multiverses of set theory
This is a talk at the Philosophy of Set Theory and Foundations workshop, University of Konstanz, August 1, 2019.
Slides
Recent Publications

Model theoretic characterizations of large cardinals revisited
W. Boney, S. Dimopoulos, V. Gitman, and M. Magidor, “Model theoretic characterizations of large cardinals revisited,” Manuscript.
PDF Bibtex 
The virtual large cardinal hierarchy
V. Gitman, S. Dimopoulos, and D. S. Nielsen, “The virtual large cardinal hierarchy,” Manuscript.
PDF Bibtex 

Structural properties of the stable core
S.D. Friedman, V. Gitman, and S. Müller, “Some properties of the Stable Core,” Manuscript.
PDF Bibtex Arχiv 
KelleyMorse set theory does not prove the class Fodor principle
V. Gitman, J. D. Hamkins, and A. Karagila, “KelleyMorse set theory does not prove the class Fodor theorem,” To appear in Fundamenta Mathematicae.
PDF Bibtex Arχiv 
Forcing a $\square(\kappa)$like principle to hold at a weakly compact cardinal
B. Cody, V. Gitman, and C. LambieHanson, “A $\square(κ)$like principle consistent with weak compactntess,” To appear in the Annals of Pure and Applied Logic.
PDF Bibtex Arχiv