Home at Booles’ Rings

“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” — John von Neumann

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Welcome to my blog! I am a visiting scholar at the CUNY Graduate Center. Starting Fall 2014, I will be co-organizing the CUNY Set Theory Seminar with Thomas Johnstone. My most recent CV is here.
On my blog, you can learn about my research, find course materials from the classes I taught, and read my thoughts on mathematics, education, and the universe.


Visit Cantor’s Attic, the wiki for mathematical infinity in general and large cardinals in particular, founded by Joel Hamkins and myself. The site, currently in the early stages of development, aspires to become an extensive, detailed repository of current knowledge on large cardinal theory.

Here is my WordPress profile.

Upcoming talks

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Recent publications
  • 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.” (submitted)  
      @ARTICLE{BagariaGitmanSchindler:VopenkaPrinciple,
      AUTHOR= {Bagaria, Joan and Gitman, Victoria and Schindler, Ralf},
      TITLE= {Generic {V}op\v{e}nka's {P}rinciple, remarkable cardinals, and the weak {P}roper {F}orcing {A}xiom},
      Note ={submitted},
      pdf ={http://boolesrings.org/victoriagitman/files/2016/02/GenericVopenkaPrinciples.pdf},
      }

  • Open determinacy for class games
    • V. Gitman and J. D. Hamkins, “Open determinacy for class games,” in Foundations of mathematics, logic at harvard, essays in honor of hugh woodin’s 60th birthday, A. E. Caicedo, J. Cummings, P. Koellner, and P. Larson, Eds., American Mathematical Society, (expected) 2016. (Newton Institute preprint ni15064)  
      @INCOLLECTION{GitmanHamkins:OpenDeterminacyForClassGames,
      author = {Victoria Gitman and Joel David Hamkins},
      title = {Open determinacy for class games},
      booktitle = {Foundations of Mathematics, Logic at Harvard, Essays in Honor of Hugh Woodin's 60th Birthday},
      publisher = {American Mathematical Society},
      year = {(expected) 2016},
      editor = {Andr\'es E. Caicedo and James Cummings and Peter Koellner and Paul Larson},
      volume = {},
      number = {},
      series = {Contemporary Mathematics},
      type = {},
      chapter = {},
      pages = {},
      address = {},
      edition = {},
      month = {},
      note = {Newton Institute preprint ni15064},
      url = {http://jdh.hamkins.org/open-determinacy-for-class-games},
      eprint = {1509.01099},
      archivePrefix = {arXiv},
      primaryClass = {math.LO},
      abstract = {},
      keywords = {},
      }

  • Ehrenfeucht’s lemma in set theory
    • G. Fuchs, V. Gitman, and J. D. Hamkins, “Ehrenfeucht’s lemma in set theory,” To appear in the notre dame journal of formal logic.  
      @ARTICLE{fuchsgitmanhamkins:ehrenfeuchtLemma,
      AUTHOR= {Gunter Fuchs and Victoria Gitman and Joel David Hamkins},
      TITLE= {Ehrenfeucht's lemma in set theory},
      PDF={http://boolesrings.org/victoriagitman/files/2015/01/Ehrenfeucht.pdf},
      EPRINT={1501.01918},
      JOURNAL= {To appear in the Notre Dame Journal of Formal Logic}}

  • Indestructibility properties of remarkable cardinals
    • Y. Cheng and V. Gitman, “Indestructibility properties of remarkable cardinals,” Archive for mathematical logic, vol. 54, pp. 961-984.  
      @ARTICLE{chenggitman:IndestructibleRemarkableCardinals,
      AUTHOR= {Yong Cheng and Victoria Gitman},
      TITLE= {Indestructibility properties of remarkable cardinals},
      journal = {Archive for Mathematical Logic},
      publisher = {Springer Berlin / Heidelberg},
      pages = {961-984},
      volume = {54},
      issue = {7},
      PDF={http://boolesrings.org/victoriagitman/files/2015/06/IndestructibleRemarkableCardinals.pdf},
      EPRINT ={1411.2551},
      }

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