Ph.D. in Mathematics with Thesis in Actuarial Science

About

The Ph.D. in Mathematics program offers rigorous training in both pure and applied mathematics, preparing students to push the boundaries of research and innovation. With a blend of advanced coursework, challenging preliminary exams, and original dissertation research, students gain deep expertise and develop the skills needed to lead in academia, industry, or government. Our supportive faculty mentors and collaborative environment ensure that every candidate is equipped to make significant contributions to the mathematical sciences. This is a program designed for driven scholars ready to tackle complex problems and shape the future of mathematics.

Overview

The Ph.D. in Mathematics program gives you the choice to pursue either pure mathematics or applied mathematics, depending on your interests and career goals.

In addition to the Graduate School requirements, students must pass three Ph.D.-level preliminary examinations selected from a list of topics approved by the department. While many students take the related preliminary course beforehand, this is not required. Students must also complete two core courses with a grade of “B” or higher; these courses must be different from the graduate courses associated with the preliminary examinations.

After these requirements are met, students choose a thesis advisor and begin work on a dissertation under their supervision. The dissertation represents a significant contribution of original research in mathematics.

This structure provides both a solid foundation in advanced mathematics and the freedom to develop your own research path.

Courses & Preliminary Exams

Pure Mathematics

Preliminary exams (3 passes required)

  • Math 5111/Measure and Integration
  • Math 5120/Complex Function Theory
  • Math 5210/Abstract Algebra
  • Math 5310/Introduction to Geometry and Topology I

Core courses (2 in addition to courses taken for prelim passes)

  • Math 5111/Measure and Integration
  • Math 5120/Complex Function Theory
  • Math 5160/Probability Theory and Stochastic Processes I
  • Math 5210/Abstract Algebra I
  • Math 5211/Abstract Algebra II
  • Math 5260/Mathematical Logic I
  • Math 5310/Introduction to Geometry and Topology I
  • Math 5360/Differential Geometry

Applied Mathematics

Preliminary exams (3 passes required)

  • Math 5111/Measure and Integration
  • Math 5120/Complex Function Theory
  • Math 5310/Introduction to Geometry and Topology I
  • Math 5410/Introduction to Applied Mathematics I
  • Math 5510/Numerical Analysis and Approximation Theory I

Core courses (2 in addition to courses taken for prelim passes)

  • Math 5111/Measure and Integration
  • Math 5120/Complex Function Theory
  • Math 5310/Introduction to Geometry and Topology I
  • Math 5160/Probability Theory and Stochastic Processes I
  • Math 5410/Introduction to Applied Mathematics I
  • Math 5440/Partial Differential Equations
  • Math 5510/Numerical Analysis and Approximation Theory I
  • Math 5520/Finite Element Solution Methods I