Mathematics PhD

Degree Requirements

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


Total Units Required: 21

Course Title
Core Courses (9 units)
MATH 410-1
MATH 410-2
MATH 410-3
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
and Algebra
and Algebra
Elective Courses (12 units)


  • 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