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.
John Ed Allen, Associate Professor and Assistant Dean of the Texas Academy of Mathematics and Science; Ph.D., Oklahoma State. Numerical analysis.
Nicolae Anghel, Associate Professor; Ph.D., Ohio State. Index theory of elliptic operators on non-compact spaces; geometric analysis of elliptic operators.
Santiago Betelu, Associate Professor; Ph.D., Universidad Nacional del Centro del la Provincia de Buenos Aires. Self-similarity; thin film flows; applied mathematics.
Neal Brand, Professor Ph.D., Stanford. Graph theory and combinatorics.
Douglas Brozovic, Associate Professor and Graduate Advisor; Ph.D., Ohio State. 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. Complex analysis.
Charles Conley, Associate Professor; Ph.D., California at Los Angeles. Globally supported irreducible unitary representations of gauge supergroups; completions of smooth indecomposable representations of semidirect product Lie groups to continuous (non-unitary) representations in Hilbert spaces with unitary composition series.
Matthew Douglass, Associate Professor and Chair; Ph.D., Oregon. Representation theory of Lie groups; Lie algebras and related topics.
Su Gao, Professor; Ph.D., California at Los Angeles. Logic and foundations of mathematics; descriptive set theory and its applications.
Joseph Iaia, Associate Professor; Ph.D., Pennsylvania. Elliptic partial differential equations and their application to problems in differential geometry.
Stephen Jackson, Professor; Ph.D., California at 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. Differential equations; applied mathematics.
R. Daniel Mauldin, Regents Professor; Ph.D., Texas at Austin. Analysis; descriptive set theory; chaos and dynamical systems.
Michael Monticino, Professor and Associate Dean of the College of Arts and Sciences; Ph.D., Miami. Probability modeling; statistical analysis; stochastic optimal control; operations research; random generation of geometric objects.
John Quintanilla, Associate Professor; Ph.D., Princeton. Applied probability; stochastic geometry; random heterogeneous materials.
Olav Richter, Assistant Professor; Ph.D., California at San Diego. Number theory; automorphic forms; theta functions; Jacobi forms; Siegel modular forms.
Bunyamin Sari, Assistant Professor; Ph.D., Alberta. Banach spaces; operator ideals.
Anne Shepler, Assistant Professor; Ph.D., California at San Diego. Reflection groups; invariant theory; hyperplane arrangements.
Kai-Sheng Song, Associate Professor, Ph.D., (Department of Statistics) California at Davis. Statistical algorithms; nonparametric and semiparametric inference; biomedical signal processing and imaging; time series and mathematical finance.
Mariusz Urbanski, Professor; Ph.D., Nicholas Copernicus. Dynamical systems; ergodic theory; fractal sets; conformal dynamical systems; topology.
For More Information
University of North Texas Department of Mathematics
1155 Union Circle #311430
Denton, Texas 76203-5017
Phone: 940-565-2155
TTY callers: 940-369-8652
General Academic Building, Room 435
E-mail: mathgrad@unt.edu or brozovic@unt.edu
www.unt.edu
www.math.unt.edu
Toulouse Graduate School
940-565-2383 or
toll free 888-868-4723
Mathematics
Opportunities for graduate studies
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 pursue 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 careers in college teaching, business and industry. The M.S. degree provides a deeper understanding of mathematical theory and technique for use in fields outside mathematics. The Ph.D. degree allows you to develop competences in several major areas of mathematics and to provide for intensive study and research in the area of specialization.
We have 24 faculty members serving 60 students in traditional classroom and individual study environments.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 are actively involved in research focusing on 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. In 2010, we received a prestigious Research Training Group grant—one of only four such awards from the National Science Foundation. The grant supports a RTG in the areas of logic and dynamics. The group’s goals include training graduate students to conduct high quality research in an area related to logic and dynamics, with an emphasis on the connection of the two fields.
In addition to mathematical training, we provide 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 our students a solid competitive edge in the modern marketplace. Our students invariably obtain mathematics-related employment in academic and nonacademic settings.
Admission requirements
You are required to have reached a level equivalent to that required for an undergraduate mathematics major, including upper-division courses in algebra, advanced calculus (classical analysis) and, when possible, topology. You must also meet the admission requirements of the Toulouse Graduate School.For more information, visit www.gradschool.unt.edu.
Degree requirements
M.A. degree
This degree requires 30 semester hours, which includes 24 semester hours of approved course work and 6 semester hours of thesis. You may select a minor of 6 semester hours with the department’s consent. In addition, you must demonstrate proficiency in a foreign language and take a final mathematics oral examination that is primarily a defense of your thesis.
M.S. degree
This degree requires 36 semester hours of approved course work. Youmust demonstrate a proficiency in computer programming equivalent to that acquired in a 6-semester-hour introductory course and to take a final oral examination. You may select a minor of 6 semester hours with the department’s consent, and a thesis is optional.
Ph.D. degree
You need to complete approximately 90 semester hours of graduate work in mathematics beyond the bachelor’s degree. About half should be in courses that are 6000-level or higher.You must also demonstrate proficiency in a foreign language, 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 hours of applicable graduate credit receive a stipend of $14,926 per year and generally teach the equivalent of two classes per semester. Students with at least 18 hours of graduate credit receive a stipend of $17,560 per nine months. Students who have passed to 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 that may be available, visit www.unt.edu/finaid or graduateschool.unt.edu.