The Ph.D. in Mathematical Sciences is offered in the Department of Mathematical Sciences.
Students earning a Ph.D. in Mathematical Sciences have the option to specialize in pure mathematics, applied mathematics or mathematical statistics.
Our department is currently doing research in integrable systems, mathematical physics, dynamical systems, noncommutative geometry, operator algebras, differential geometry, partial differential equations, functional analysis, statistics and probability, applied mathematics, biomathematics, computational neurosciences, and scientific computing.
Understanding the requirements
Students are required to complete 42 credit hours of coursework in the following:
Four core MATH subject courses
- Introduction to Complex Variables I, MATH-I 530
- Real Analysis & Measure Theory, MATH-I 544
- Abstract Algebra, MATH-I 553
- Linear Algebra, MATH-I 554
Two MATH or STAT subject courses
- Numerical Analysis, MATH-I 514
- Partial Differential Equations, MATH-I 523
- Differential Geometry, MATH-I 562
- Elementary Topology, MATH-I 571
- Introduction to Algebraic Topology, MATH-I 572
- Introduction to Probability, STAT-I 519
Three courses (9 credit hours of coursework) at an advanced level in your field of specialty
Students in the applied mathematics specialty will select two courses from MATH/CSCI 514, 515, 614, 615, and one course that uses advanced mathematics, taken outside the mathematical sciences.
This program requires completion of at least 90 credit hours of combined course work and research. An M.S. degree from an accredited university may contribute up to 30 credit hours toward this requirement, subject to approval.