Graduate opportunities

The Department of Mathematics at the University of North Texas provides a collaborative, open and academically stimulating climate for graduate study.

We offer instruction and research leading to Doctor of Philosophy, Master of Science and Master of Arts degrees in Mathematics. You may follow a program of study that includes pure and applicable mathematics.

The Ph.D. degree allows you to develop competence in several major areas of mathematics and prepares you for intensive study and research in a specialized area.

The M.S. degree provides a deeper understanding of mathematical theory and technique for use in a wide variety of academic and non-academic careers. The M.A. degree prepares you to pursue a Ph.D. degree and for careers in college teaching, business and industry.

In addition to mathematical training, you’ll have opportunities to develop advanced instructional skills. These opportunities include a comprehensive training course for teaching fellows focusing on all types of instructional issues.

The combination of high-quality mathematical training, expansive instructional training and practical teaching opportunities will give you a competitive edge in the marketplace. Our students obtain math-related employment in academic and non-academic settings.

Outstanding faculty and student services

Many of our faculty members have published articles in respected journals, worked as consultants for various businesses and companies, and presented research at conferences and seminars. Most of them are involved in research ranging from chaos and dynamical systems to topology.

Research projects and programs are routinely supported by federal and private grants.

UNT provides a wide variety of services exclusively to graduate students. The Graduate Writing Support Center can help you with writing, and the Office of Research Consulting offers assistance with statistical research.

The Toulouse Graduate School® offers several professional development workshops, including Thesis and Dissertation Boot Camps. Many of the workshops are available online for your convenience.

Attending UNT

Admission requirements

You’re required to reach a level of math equivalent to that of an undergraduate Mathematics major. This includes upper-division courses in algebra and advanced calculus (classical analysis) and, when possible, topology. You must also meet the admission requirements for the graduate school that include:

More information on the admission requirements for the graduate school can be found at the graduate school website. Specific department requirements are outlined on our website.

Degree requirements

Doctor of Philosophy degree

You’ll have to complete at least 72 credit hours of graduate work in math beyond the bachelor’s degree, or 54 credit hours beyond the master's degree. About half of the courses should be 6000-level or higher. In addition, you’ll be required to pass qualifying exams in two distinct approved areas of math, write a dissertation and take a final comprehensive oral exam. The exam is primarily a defense of the dissertation.

Master of Science degree

This degree requires 36 credit hours of approved coursework, proficiency in computer programming and a final oral exam. You may select a minor of 6 credit hours with the department’s consent. A thesis is optional.

Master of Arts degree

This degree requires 24 credit hours of approved coursework and 6 credit hours of thesis. You may select a minor of 6 credit hours with the department’s consent. In addition, you must demonstrate proficiency in a foreign language. A final oral exam will be your thesis defense.

Information about specific degree requirements is available on our website.

Financial assistance

Almost all full-time graduate students are supported as teaching fellows or assistants.

Teaching fellows who have earned fewer than 18 hours of approved graduate credit in Mathematics are paid a stipend of $14,926 per year. Graduate students with 18 or more hours are paid $17,560 per year. Ph.D. candidates who have completed all degree requirements except the dissertation are paid $20,240 per year.

Teaching fellows also are eligible for 1.5 months of summer salary teaching or working in the Math Lab.

Supported students receive a tuition benefit covering at least six credit hours of their tuition per semester.


Pieter Allaart, Associate Professor; Ph.D., Free University Amsterdam. Probability and stochastic processes; fractal geometry; real analysis.

Nicolae Anghel, Associate Professor; Ph.D., Ohio State University. Complex analysis of one and several variables; differential geometry; geometric analysis; mathematical physics.

Rajeev Azad, Associate Professor; Ph.D., Jawaharlal Nehru University (New Delhi). Bioinformatics; computational biology.

Neal Brand, Professor; Ph.D., Stanford University. Graph theory and combinatorics.

Douglas Brozovic, Associate Professor and Graduate Advisor; Ph.D., Ohio State University. Finite group theory; classical groups; finite groups of Lie type; permutation groups.

William Cherry, Associate Professor; Ph.D., Yale University. Complex analysis; number theory; algebraic geometry.

Charles Conley, Professor and Interim Chair; Ph.D., University of California-Los Angeles. Representation theory of Lie algebras.

Matthew Douglass, Associate Professor; Ph.D., University of Oregon. Representation theory of Lie groups; Lie algebras.

Lior Fishman, Assistant Professor; Ph.D., Ben-Gurion University of the Negev (Israel). Dynamics; geometric measure theory; Diophantine approximation.

Su Gao, Professor and College of Science Interim Dean; Ph.D., University of California-Los Angeles. Logic and foundations of mathematics; descriptive set theory and its applications.

Joseph Iaia, Associate Professor; Ph.D., University of Pennsylvania. Elliptic partial differential equations and their application to problems in differential geometry.

Han Hao, Assistant Professor; Ph.D., The Pennsylvania State University. Statistical genetics.

Stephen Jackson, Regents Professor; Ph.D., University of California-Los Angeles. Logic; set theory; descriptive set theory, especially the influence of the axiom of determinacy.

Robert R. Kallman, Distinguished Research Professor; Ph.D., Massachusetts Institute of Technology. Optimization; parallel computing and engineering design; topological groups; operator algebras and unitary representations of locally compact groups.

John Krueger, Assistant Professor; Ph.D., Carnegie Mellon University. Mathematical logic and set theory with an emphasis on forcing, consistency results, combinatorial set theory and inner model theory.

Joseph Kung, Professor; Ph.D., Massachusetts Institute of Technology. Discrete mathematics; combinatorics; discrete and computational geometry; lattice theory; computational aspects of geometric configurations.

Jianguo Liu, Associate Professor and Undergraduate Advisor; Ph.D., Cornell University. Optimization; scientific computation; applied mathematics.

John Quintanilla, Professor and Undergraduate Studies Associate Dean; Ph.D., Princeton University. Applied probability; stochastic geometry; percolation thresholds; random heterogeneous materials.

Olav Richter, Associate Professor; Ph.D., University of California-San Diego. Number theory in particular Jacobi forms, Siegel modular forms, Maass forms, mock theta functions.

Bunyamin Sari, Associate Professor; Ph.D., University of Alberta. Banach spaces; operator ideals.

Anne Shepler, Associate Professor; Ph.D., University of California-San Diego. Noncommutative algebras; deformation theory; invariant theory; reflection groups; hyperplane arrangements.

Kai-Sheng Song, Professor; Ph.D., University of California-Davis. Statistical algorithms; nonparametric and semiparametric inference; biomedical signal processing and imaging; time series and mathematical finance.

Mariusz Urbanski, Professor; Ph.D., Nicolaus Copernicus University (Poland). Dynamical systems; ergodic theory; fractal sets; conformal dynamical systems; topology.

Xuexia (Helen) Wang, Associate Professor; Ph.D., Michigan Technical University. Statistics; applications to mapping complex disease genes and to economic phenomena.