Research in mathematical logic at the University of Notre Dame largely resides in three areas: computability theory, model theory, and set theory. Computability theory concerns computability and complexity, often measured by Turing reducibility. Model theory at Notre Dame deals particularly with classification theory, o-minimality, and applications to other areas of mathematics. Set theory at Notre Dame includes axiomatics and independence, with particular focus on the theory of infinite structures.
Logic Graduate Courses
We have a 2 semester Basic Logic graduate course that we expect all graduate students interested in pursuing logic to attend. Currently this 2 semester course includes set theory, both naïve and axiomatic, as well as model theory, up to Morley’s theorem and recursion (computability) theory.
Every semester there is a Topics in Math Logic graduate course. Various topics, both at an intermediate level and an advanced (research) level have been taught recently and will be taught again. These include, descriptive set theory, forcing, infinite Ramsey theory, o-minimality, model theory of valued fields, pseudofinite model theory, categorical logic, stability theory, continuous model theory, and theories without the independence property (NIP theories).
The logic group runs a number of seminars including the logic seminar the model theory seminar, the computability seminar, and a number of informal seminars. View titles and abstracts of past, current, and future events.
ND Mathematical Logic Calendar (in a window by its self)
Weekly seminar announcements are sent using the mailing list firstname.lastname@example.org. For details see https://groups.google.com/a/nd.edu/d/forum/mathlogic-list.
In addition to faculty from the math department, the Logic Research Group includes faculty from the philosophy department.
Professor, Associate Chair
Set Theory, Ramsey Theory, Topology
Professor, William J. Hank Family
Visiting and Postdoctoral Faculty
Guest Associate Professor
Emerita - Full
Logic and Computable Structure Theory
Adjunct or Concurrent Faculty
Department of Philosophy, University of Notre Dame
Nicolas Chavarria Gomez