Homepage of M. Malliaris

Department of Mathematics
University of Chicago

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

Teaching: Graduate model theory
Office hours for Spring: Following class, or by appointment.
Previous teaching: Math 258, Math 277-278, Math 203-204, Math 311, REU.

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,'' JSL 77, 1 (2012) 195-223. PDF, published version
  • "Independence, order, and the interaction of ultrafilters and theories," APAL, 163, 11 (2012) 1580-1595. 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, arxiv
  • (with S. Shelah) "Model-theoretic properties of ultrafilters built by independent families of functions." PDF, arxiv
  • (with S. Shelah) "A dividing line within simple unstable theories." PDF, arxiv
  • (with S. Shelah) "Saturating the random graph with an independent family of small range." 14 pages. arxiv
  • (with S. Shelah) "Cofinality spectrum theorems in model theory, set theory, and general topology." 48 pages. PDF, arxiv
  • (with S. Shelah) "General topology meets model theory, on p and t." This announces the results of the paper above.

  • 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.

    Logic Day, April 24, 2013

    Links

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