UNT Home | Graduate Studies | College of Arts and Sciences | Mathematics
Graduate faculty and areas of research
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.
Farmer Schlutzenberg, Assistant Professor; Ph.D., University of California-Berkeley. Inner model theory.
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.
For More Information
University of North Texas Department of Mathematics
math.unt.edu
940-565-2155
mathgrad@unt.edu
General Academic Building, Room 435
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Toulouse Graduate School
940-565-2383
graduateschool@unt.edu
Mathematics
Master’s and Doctoral Programs
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 Master of Arts, Master of Science and Doctor of Philosophy degrees in Mathematics. You may follow a program of study that includes pure and applicable mathematics.
The M.A. degree prepares you to pursue a Ph.D. degree as well as for careers in college teaching, business and industry. The M.S. degree provides a deeper understanding of mathematical theory and technique for use in a wide variety of employment fields — both academic and non-academic. The Ph.D. degree allows you to develop competence in several major areas of mathematics and to provide for intensive study and research in a specialized area.
In addition to mathematical training, we provide you opportunities to develop advanced instructional skills, including the completion of 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 solid competitive edge in the modern marketplace. Our students invariably obtain mathematics-related employment in academic and non-academic settings.
Outstanding support
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 actively involved in research focusing on topics such as chaos and dynamical systems, combinatorics, descriptive set theory, differential equations, functional analysis, image processing and pattern recognition, logic and foundations, number theory, numerical analysis and computer methods, probability, representation theory, statistics, and topology.
Research projects and programs are routinely supported by federal and private grants. Among them is the prestigious Research Training Group grant — one of only four such awards from the National Science Foundation. The grant supports research in areas 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.
Attending UNT
Admission requirements
You are required to reach a level of mathematics equivalent to that of an undergraduate Mathematics major, including 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 School. More information on the admission requirements for the graduate school and the department is at catalog.unt.edu.
Degree requirements
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 and take a final oral examination, which is primarily a defense of your thesis.
M.S. degree
This degree requires 36 credit hours of approved course work. You must demonstrate a proficiency in computer programming equivalent to that acquired in a 6-credit-hour introductory course and take a final oral examination. You may select a minor of 6 credit hours with the department’s consent, and a thesis is optional.
Ph.D. degree
You need to complete approximately 72 credit hours of graduate work in mathematics beyond the bachelor’s degree. About half of the courses should be 6000-level or higher. You must pass qualifying examinations in two distinct approved areas of mathematics, write a dissertation and take a final comprehensive oral examination, which is primarily a defense of the dissertation.
Financial assistance
Almost all full-time graduate students are supported as teaching fellows or graduate student assistants. Students with fewer than 18 applicable graduate 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 applicable graduate 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 Toulouse Graduate School. For information about other financial assistance programs, visit financialaid.unt.edu.