University of Missouri-Kansas city

About

Dr. Hall joined UMKC in 2003 after working as a Visiting Assistant Professor at Purdue University for three years. His research area is in set theory.

Education

B.A. in Mathematics, Carleton College (1993)
Ph.D. in Mathematics, University of Michigan (Ann Arbor) (2000)

Research Papers in Set Theory.    Titles which are links are links to PDF files.

• Characterizing permutation models -
  • Permutation models and SVC,
    Notre Dame J. Formal Logic 48(2), 2007.
  • A Characterization of permutation models in terms of forcing,
    Notre Dame J. Formal Logic 43(3), 2003.
• Other -
  • The existence of free ultrafilters on ω does not imply the extension of filters on ω to ultrafilters
    (with K. Keremedis and E. Tachtsis), Math. Logic Quarterly 59(3), 2013.
  • Partial choice functions for families of finite sets
    (with S. Shelah), Fundamenta Mathematicae 220, 2013.
  • On BPI restricted to Boolean algebras of size continuum
    (with K. Keremedis), Bull. Pol. Acad. Sci., Math. 61(1), 2013.
  • Čech-Stone compactifications of discrete spaces in ZF and some weak forms of the Boolean prime ideal theorem
    (with K. Keremedis), Topology Proceedings 41, 2012.
  • Unions and the axiom of choice
    (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 54, 2008.
  • Definitions of finiteness based on order properties
    (with O. De la Cruz and D. Dzhafarov), Fundamenta Mathematicae 198, 2006.
  • Properties of the real line and weak forms of the axiom of choice
    (with O. De la Cruz, P. Howard, K. Keremedis, and E. Tachtsis), Math. Logic Quarterly 51(6), 2005.
  • Metric spaces and the axiom of choice
    (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 49(5), 2003.
  • Products of compact spaces and the axiom of choice II
    (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 49(1), 2003.
  • Products of compact spaces and the axiom of choice
    (with O. De la Cruz, P. Howard, K. Keremedis, and J. Rubin), Math. Logic Quarterly 48(4), 2002.
  • Definitions of compactness and the axiom of choice
    (with O. De la Cruz, P. Howard, J. Rubin, and A. Stanley), J. Symbolic Logic 67(1), 2002.