UNT Home | Graduate Studies | College of Arts and Sciences | Mathematics

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 gives students a competitive edge in the marketplace. Our students invariably obtain mathematics-related employment in academic and non-academic settings.

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. For example, the prestigious Research Training Group grant supports research related to logic and dynamics with an emphasis on the connection between the two fields. Our department also houses a library collection in mathematical sciences.

You're required to reach a level of mathematics 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 Toulouse Graduate SchoolŪ. These requirements include:

- Completed application
- Official transcripts from every college or university you've attended
- Official GRE or GMAT scores

**Ph.D. degree**

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

**M.S. degree**

This degree requires 36 credit hours of approved course work, 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.

**M.A. degree**

This degree requires 24 credit hours of approved course work 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.

The Department of Mathematics has more information on specific degree requirements.

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

Students with fewer than 18 credit hours receive a stipend of $14,940 per year and generally teach the equivalent of two classes per semester. Students with at least 18 credit hours receive a stipend of $17,560 per nine months. Students who have achieved All But Dissertation status receive a stipend of $20,240.

Teaching fellows are also eligible for summer employment teaching or working in the Math Lab.

Qualified students may be eligible for $1,000 Academic Achievement Scholarships through the graduate school. The financial aid office can give you more information about other financial assistance programs.

**Pieter Allaart,** Associate Professor; Ph.D., Free University Amsterdam. Probability; ranges of vector measures; fair division theory.

**Nicolae Anghel,** Associate Professor; Ph.D., Ohio State. Index theory of elliptic operators on non-compact spaces; geometric analysis of elliptic operators.

**Rajeev Azad,**Assistant 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; subgroup chains in finite groups; colineation groups of finite translation planes.

**William Cherry,** Associate Professor; Ph.D., Yale University. Complex analysis.

**Charles Conley**,Professor; Ph.D., University of California-Los Angeles. Globally supported irreducible unitary representations of gauge supergroups; completions of smooth indecomposable representations of semidirect product Lie groups to continuous (nonunitary) representations in Hilbert spaces with unitary composition series.

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

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

**Su Gao,** Professor and Department Chair; 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.

**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, especially directed to the optimal design of optical information processing systems; 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; Ph.D., Cornell University. Differential equations; applied mathematics.

**Michael Monticino,** Professor and Dean of the College of Arts and Sciences; Ph.D., University of Miami. Probability modeling; statistical analysis; stochastic optimal control; operations research; random generation of geometric objects.

**John Quintanilla,** Professor; Ph.D., Princeton University. Applied probability; stochastic geometry; random heterogeneous materials.

**Olav Richter,** Associate Professor; Ph.D., University of California-San Diego. Number theory; automorphic forms; theta functions; Jacobi forms; Siegel modular forms.

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

**Anne Shepler,** Associate Professor; Ph.D., University of California-San Diego. Reflection groups; invariant theory; hyperplane arrangements.

**Kai-Sheng Song,** Associate 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.

**Jiaping Wang,** Assistant Professor; Ph.D., Binghamton University. Spatio-temporal functional data; fMRI; survival analysis

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