University of Notre Dame

Department of Mathematics

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Joseph Flenner

Research Assistant Professor

Email:	jflenner@nd.edu
Office:	118 Hayes-Healy Center
Links:	1. Informative departmental webpage 2. Curriculum Vitae

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Research Materials

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• Papers:
  • Canonical forests in directed families.
    With Vincent Guingona. Preprint, last updated: November 10, 2011.
  • Relative decidability and definability in henselian valued fields.
    J. Symbolic Logic 76 (2011), no. 4, 1240-1260.

• Lecture Notes:
  • Decision Problems in Algebra.
    (Note: This is a work in progress as I transcribe and augment notes from a graduate topics course I gave on (un)decidability in number theory and algebra.)
    Last updated: September 1, 2011.

• Thesis:
  • The Relative Structure of Henselian Valued Fields.

• Slides:
  • The relative structure of valued fields.
    UCLA, Logic Colloquium.
    November 7, 2008.
  • Definability in characteristic 0 henselian valued fields via the leading terms.
    Wesleyan University, AMS Eastern Sectional Meeting.
    October 12, 2008.
  • A decomposition theorem for characteristic 0 henselian fields.
    McMaster University, Model Theory Seminar.
    November 6, 2007.

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