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
visits since April 2012
(courtesy of digits.com)
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