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Faculty of Science Mathematics & Statistics
Faculty of Science

Mathematics & Statistics

MATH 712, Winter 2019

 Topics in Foundations

The goal of this course is to introduce students to the research area of applied model theory. The particular area of application will be theories of local fields, but the techniques will be applicable to many other theories of interesting mathematical structures. I will aim to develop enough of the theory of p-adic fields to present Denef’s proof of the rationality of the Poincare series associated to the number of solutions of a p-adic polynomial equation. To take this course, a student should have seen a course in logic equivalent to Math 4L03/6L03 and a course in field theory equivalent to Math 4GR3. The required model theory and p-adic algebra will be developed through the course.

Calendar Description

3 units

Selected topics, such as model theory, both pure and applied, general algebraic systems, set theory, proof theory, and the theory of computability.

Instructor: D. Haskell

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McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca

McMaster University - Faculty of Science

Mailing Address

Department of Mathematics & Statistics
McMaster University

Hamilton Hall, Room 218
1280 Main Street West
Hamilton, Ontario, Canada
L8S 4K1

Contact Information

Office Hours:
8:30 a.m. - 12:00 p.m.
1:00 p.m. - 4:30 p.m.
Telephone Inquiries:
+1 (905) 525-9140 ext.27034
Undergrad Email Inquiries:
undergrad@math.mcmaster.ca