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Mathematics

Degree Types: PhD

The Graduate Program in the Department of Mathematics aims to develop students into productive research mathematicians. The extremely low student-faculty ratio, approximately two-to-one, allows for close relationships between students and faculty.

Department research strengths include algebra, algebraic geometry, algebraic topology, classical and modern analysis, dynamical systems, mathematical physics, number theory, partial differential equations, probability and representation theory. 

The department maintains close ties with the larger community of mathematicians at Northwestern University.

Additional resources:

Program Statistics

Visit PhD Program Statistics for statistics such as program admissions, enrollment, student demographics and more.

Degree Requirements

The following requirements are in addition to, or further elaborate upon, those requirements outlined in The Graduate School Policy Guide.

PhD

Total Units Required: 21

Course Title
Core Courses (9 units)
MATH 410-1
MATH 410-2
MATH 410-3
Analysis
and Analysis
and Introduction to Modern Analysis
MATH 440-1
MATH 440-2
MATH 440-3
Geometry and Topology
and Geometry and Topology
and Geometry and Topology
MATH 470-1
MATH 470-2
MATH 470-3
Algebra
and Algebra
and Algebra
Elective Courses (12 units)

Notes

  • A student who has passed the qualifying exam may register for TGS 500-0 Funded Doctoral Study beginning in the third year.

Other PhD Degree Requirements

  • Examinations: three written preliminary examination in the core courses of Analysis, Geometry/Topology, and Algebra; oral qualifying examination
  • Research/Projects: see PhD Dissertation below
  • PhD Dissertation: original, independent research
  • Final Evaluations: defense of dissertation

Last Updated: September 12, 2023