“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
Recent Writing
Booleanvalued class forcing
Booleanvalued class forcing
Virtual large cardinal principles at KGRC
Recent and Upcoming Talks


Virtual large cardinal principles at KGRC
This is a talk at the Kurt Gödel Research Center Research Seminar in Vienna, Austria, April 14, 2018.

The emerging zoo of secondorder set theories
This is a talk at the Young Researchers' Workshop: Forcing and Philosophy, University of Konstanz, January 18, 2018.

Virtual large cardinal principles
This is a talk at the Harvard Logic Colloquium, Cambridge, November 8, 2017.

Filter games and Ramseylike cardinals
This is a talk at the CUNY Set Theory Seminar, October 20, 2017.

A model of secondorder arithmetic with the choice scheme in which $\Pi^1_2$dependent choice fails
This is a talk at the Kurt Gödel Research Center Research Seminar in Vienna, Austria, May 18, 2017.
Recent Publications

Booleanvalued class forcing
C. Antos, S. D. Friedman, and V. Gitman, “Booleanvalued class forcing,” Preprint.
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A model of secondorder arithmetic satisfying AC but not DC
S.D. Friedman and V. Gitman, “A model of secondorder arithmetic satisfying AC but not DC,” manuscript under review.
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The exact strength of the class forcing theorem
V. Gitman, J. D. Hamkins, P. Holy, P. Schlicht, and K. Williams, “The exact strength of the class forcing theorem.”
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A model of the generic Vopěnka principle in which the ordinals are not Mahlo
V. Gitman and J. D. Hamkins, “A model of the generic Vopěnka principle in which the ordinals are not Mahlo,” To appear in the Archive for Mathematical Logic.
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Virtual large cardinals
V. Gitman and R. Schindler, “Virtual large cardinals,” To appear in the Proceedings of the Logic Colloquium 2015.
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Generic Vopěnka's Principle, remarkable cardinals, and the weak Proper Forcing Axiom
J. Bagaria, V. Gitman, and R. Schindler, “Generic Vopěnka’s Principle, remarkable cardinals, and the weak Proper Forcing Axiom,” Arch. Math. Logic, vol. 56, no. 12, pp. 1–20, 2017. Available at: http://dx.doi.org/10.1007/s001530160511x
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