Homepage of Maryanthe Malliaris

L. E. Dickson Instructor, Department of Mathematics
University of Chicago

Research: My research interests are in model theory, in particular classification of unstable theories.

Teaching: REU course, and previously: Math 277-278, Math 203-204, Math 311

Available papers: Abstracts and more information

  • "Realization of \phi-types and Keisler's order," APAL 157 (2009) 220-224. link
  • ''The characteristic sequence of a first-order formula,'' JSL, 75, 4 (2010) 1415-1440.
    PDF, published version. An earlier version (different title and organization) is on the arxiv.
  • "Edge distribution and density in the characteristic sequence," APAL 162, 1 (2010) 1-19.
    PDF, 42 pages (improves arxiv version), published version
  • "Hypergraph sequences as a tool for saturation of ultrapowers,'' to appear in JSL, 77, 1 (2012) 195-223. PDF
  • "Independence, order, and the interaction of ultrafilters and theories," accepted, APAL. PDF, science direct
  • (with S. Shelah) "Regularity lemmas for stable graphs.'' accepted, Trans. AMS. PDF
  • (with S. Shelah) "Constructing regular ultrafilters from a model-theoretic point of view." PDF
  • (with S. Shelah) "Model-theoretic properties of ultrafilters built by independent families of functions."
  • (with S. Shelah) "On the set of cofinalities of cuts in ultrapowers of linear order."
  • (with S. Shelah) "A dividing line within simple unstable theories."

  • Thesis: Persistence and Regularity in Unstable Model Theory. PDF; here is a brief overview.

    Contact information:
    Department of Mathematics
    University of Chicago
    5734 S. University Avenue
    Chicago, IL 60637

    Email: (my three initials) at math; see URL.

    Research partially supported by NSF grant DMS-1001666
    and by a Gödel research prize fellowship.

    Links

    Hit Counter by Digits visits since April 2012 (courtesy of digits.com)

    		• space