Graduate Brochure -- 2004-2005

• Capsule Description of the Department
• Computer Facilities
• Colloquia, Lecture Series, Seminars
• Applied/Applicable and Pure/Core Mathematics
• Statistics
• Graduate Programs
• Ph.D. Program in Mathematics
• Ph.D. Mathematics Preliminary Exam Syllabi
• Ph.D. Program in Computational and Applied Mathematics
• M.A. Program in Mathematics
• M.A. Program in Mathematics (Actuarial Focus)
• M.S. Program in Computational and Applied Mathematics
• M.S. Program in Statistics
• Course Offerings
• Financial Support
• Teaching Assistantships and Assistant Instructorships
• Graduate Research Assistantships
• Fellowships
• Cost of Study
• How to Apply for Admission and Financial Assistance
• City of Austin
• Faculty

Contacts

• Department Chairman: Efraim P. Armendariz, efraim@math.utexas.edu
• Graduate Advisor: Bruce Palka, gradadv@math.utexas.edu
• Graduate Coordinator: Ben Garcia bgarcia@math.utexas.edu
• Departmental Telephone: 512-471-7711
• FAX: 512-471-9038

Capsule Description of the Department

Approximately 150 graduate students are currently enrolled in degree programs in the Department. For the most part, recent recipients of Ph.D.s from the Department have found employment teaching in colleges and universities. Holders of Texas Master's Degrees in Mathematics represent a wide variety of professions, working as teachers at the primary, secondary or junior college level, statisticians, actuaries, and computer programmers, to name a few. Others have continued their educations at Texas or elsewhere in pursuit of doctorates.

In 1984 the University launched a major program to spur development in a few designated thrust areas of science and engineering, one of which was Mathematics. To serve as centerpiece for this effort, the administration created thirty-two handsomely endowed chair positions. The Department of Mathematics was awarded four of the chairs. These positions are currently filled by individuals of universally recognized distinction: Luis Caffarelli, Cameron Gordon, John Tate and Karen Uhlenbeck. The program of chairs has stimulated faculty recruitment at all levels.

In 1993 the University established an interdisciplinary program for graduate education and research in Computational and Applied Mathematics (CAM). At the same time, the College of Engineering hired into Chair positions two premier numerical analysts, Ivo Babuska and Mary Wheeler, to advance its build-up in the CAM area. New University initiatives are now underway in Digital Science and Computational Biology. These are expected to have a broad interface with Mathematics and the CAM program.

Computer Facilities

The University's Academic Computing and Instructional Technology Services provides extensive on-campus computing facilities. In addition, the High Performance Computing Facility (HPCF) at the Pickle Research Campus in north Austin maintains two multi-processor Cray J90 supercomputers and a Cray T3E Parallel System. HPCF and the Texas Institute for Computational and Applied Mathematics jointly run a Visualization Lab for computer graphics centered on a Silicon Graphics Power Onyx system in ACES Hall, as well as a beowulf cluster for high performance parallel processing.

Colloquia, Lecture Series, Seminars

Various groups within the Department sponsor regular seminars for faculty and graduate students. Some of these are designed for students with a modest background in the field under study; others target students at a more advanced level. Naturally, the participants and the topics for the seminars change from year to year. In recent years there have been seminars in mathematical physics, topology, Banach spaces, harmonic analysis, complex analysis, partial differential equations, computational and applied mathematics, number theory, dynamical systems, differential geometry, gauge theory, iterative methods, statistics, algebra, and algebraic geometry. It is expected that most of these will continue during the coming year. 

Applied/Applicable and Pure/Core Mathematics

Statistics

The mathematics department regularly offers graduate courses in statistics and administers an interdisciplinary Master's in Statistics program.

Graduate Programs

Ph.D. Program in Mathematics

The steps in obtaining a Ph.D. degree in Mathematics are as follows:

1. passage of two preliminary examinations and demonstration of command of a third area of mathematics through a satisfactory performance in the prelim course sequence for that area;
2. selection of an area of specialization and appointment of an advisory committee;
3. passage of an oral candidacy exam in the area of specialization;
4. fulfillment of the foreign language requirement;
5. certification by the advisory committee of the candidate's knowledge of the chosen area and of the adequacy of the proposed program of coursework;
6. completion of any remaining Graduate School requirements and formal admission to Ph.D. candidacy;
7. completion of a dissertation;
8. passage of a final oral exam on the dissertation research.

A detailed description of each step follows.

1.  Preliminary Examinations

Preliminary examinations are offered in four areas: Algebra, Analysis, Applied Mathematics, Topology. A Ph.D. student must establish his or her competence in three of these areas either (1) by passing three of the associated prelim exams or (2) by passing two of the prelim exams and completing the prelim course sequence in a third area with a grade of at least “B” each semester or (3) by passing the prelim exam in one area, completing the “prelim option” discussed below in a second area, and completing the prelim course sequence in a third area with a grade of at least “B” each semester. Each preliminary exam is based upon the topics in a corresponding syllabus. It is intended that these topics be accessible to a student who has completed a designated two-semester core sequence of courses treating the examination area, although it is not necessarily the case that every one of these topics will actually be covered in the core courses.

Week-long preliminary examination periods occur twice yearly, typically just before the beginning of each fall and spring semester.  Each preliminary exam is a  written exam of at least three hours' duration.  A student may attempt an exam in a particular area at most three times.

A student may select one area in which to bypass a written preliminary examination by exercising the prelim option. In order to be eligible for the prelim option the student must first complete the corresponding course sequence with a grade of "A" each semester. The student can then substitute for passage of the preliminary examination in the designated area a specific program of work that is proposed by the student, approved by the Graduate Advisor, and supervised by a member of the Graduate Studies Committee (GSC). This program of work consists of two post-prelim courses in the chosen area, at least one of which must be an organized course (i.e., not a reading course), along with the presentation of a fifty-minute lecture on some reasonably advanced topic in the area. The lecture is to be announced in the department calendar, and attendance is to be open to all mathematics faculty and graduate students. (The logical forum for such a lecture would be a regular department seminar in the specified area.) In order for a student to exercise this option, all of its provisions must be fulfilled by the end of the spring semester of the student's second year in the Ph.D. program. If a student has completed all other preliminary examination requirements by January of the second year and uses the prelim option in his or her dissertation area, the required lecture can, at the discretion of the student's Ph.D. supervisor, serve as part of the student’s candidacy exam.

A student who wants to do interdisciplinary research (e.g., in mathematical biology) may replace the “third area” requirement with an examination (but not merely with a sequence of courses) that covers material primarily from the outside discipline (e.g., from biology). A syllabus for such an exam must be developed by the student in consultation with appropriate faculty members and submitted to the ASGSC (Administrative Subcommittee of the GSC) for approval. If the syllabus receives approval from the ASGSC, then the Chair of the GSC appoints a committee of three people to administer the exam. The exam may be either written or oral, whichever the examining committee deems appropriate.

A student who has taken graduate level courses or passed preliminary examinations at another university may petition the ASGSC for prelim relief in the relevant area(s). Such a request must include a syllabus for each such course (respectively, exam) and, in the case of an examination, verification by an appropriate authority from the outside institution that the student has passed it.

A student who is admitted to the Ph.D. program immediately after completing a Master's degree in mathematics at this university will be awarded credit for passing  the prelim in the subject area of the Master's thesis or report, provided that the program of coursework for the Master's degree includes the prelim sequence of courses in that area.  This will be regarded as the equivalent of the prelim option discussed in a previous paragraph - hence, will exhaust that option.

In order to continue in the Ph.D. program, a student must have credit for passing at least one prelim exam by January of the second year and must complete all preliminary examination requirements by September of the third year. Failing to accomplish the former, a student will be barred from registering in the Ph.D. program for a third year; a student who manages the former but not the latter will be allowed to register for the third year and will be given a TA position (if a TA position is available, and the student is both eligible and qualified for it), but the third year will be the terminal year for the student in the Ph.D. program. An exception to this rule occurs in the case of a student who enters the Ph.D. program upon completion of a Master's degree in this department: such a student must complete all preliminary examination requirements by January of the second year in the Ph.D. program. Failure to accomplish this will result in the student's dismissal from the mathematics graduate program at the end of his or her second year in the Ph.D. program.

• Exam Syllabi
• A Sampling of Previous Exams

2.  Advisory Committee

After satisfying preliminary examination requirements, a student selects an area of specialization and obtains the agreement of a member of the GSC to supervise his or her doctoral dissertation. In consultation with the student and the prospective Ph.D. supervisor, the Graduate Advisor appoints a three-person committee, chaired by the proposed supervisor, that helps the student determine what additional coursework is necessary in order (a) to prepare for research in the chosen area, (b) to ensure a program of work that is sufficiently broad and deep, and (c) to meet formal Graduate School requirements. This committee also has the responsibility of administering the oral candidacy exam.

3.  Candidacy Exam

Within one year after a student has completed the preliminary examination process or by the end of the student’s fifth long semester in residence, whichever is later, the advisory committee must administer to the student an oral examination in his or her chosen area of specialization. The style, coverage, and time of the exam is set by the advisory committee in consultation with the student. If the advisory committee deems that the student has failed the candidacy oral, it may recommend that the student be granted a second opportunity to pass the exam. Otherwise, the student will not be allowed to continue in the Ph.D. program. If the student fails a second candidacy exam, the student will be required to leave the Ph.D. program.

4. Foreign Language Requirement

A student must demonstrate a reading knowledge of French, German, or Russian at a level that would allow the student to translate for its essential technical content a mathematical text in the language. The requirement can be satisfied either by passing the 301 class in the language (e.g., French 301, “French for Graduate Students in Other Departments”) or by passing a “reading” examination in the language administered by a designated member of the department faculty. This requirement is waived for any student who can document at least two years of formal training in the chosen language at the undergraduate level and for native speakers of the language.

5.  Certification

After a student has passed the candidacy exam and satisfied the foreign language requirement, the student’s advisory committee decides whether his or her proposed research area of specialization, subject preparation, and program of coursework are satisfactory for admission to Ph.D. candidacy. If so, the advisory committee officially certifies to the GSC that the student is ready to apply for doctoral candidacy; if not, the advisory committee determines in consultation with the student how any remaining deficiencies should be addressed.

6.  Formal Admission to Ph.D. Candidacy

Upon receipt of the required certification from the advisory committee, the Chair of the GSC appoints a five-person Doctoral Committee -- this committee is proposed by the student, is chaired by his or her doctoral supervisor, and is subject to certain Graduate School requirements concerning its composition -- and makes a formal recommendation to the Office of Graduate Studies that the student be admitted to Ph.D. candidacy. A Ph.D. student must fulfill all requirements for admission to Ph.D. candidacy by the beginning of his or her fourth year in the doctoral program.

7.  Dissertation

The dissertation is the most important part of the Ph.D. program. It involves original research in mathematics by the student. The research topics covered in the dissertation are selected by the student in consultation with his or her supervising professor. A student is expected to complete the dissertation within three years of admission to Ph.D. candidacy. Information about the required format for the dissertation, which must be submitted electronically, can be obtained from the Office of Graduate Studies.

8.  Final Oral Examination

After a student has completed the dissertation and his or her supervisor is satisified with the work that it contains, a student is required to defend the dissertation in a final oral examination. This examination must be scheduled through the Office of Graduate Studies at least two weeks in advance of the exam date; the Doctoral Committee, which administers the final oral, must have a draft of the dissertation at least four weeks before the exam date. If the members of the Doctoral Committee are in unanimous agreement that the student has passed this exam (i.e., that the dissertation is acceptable), then subject to the submission of the dissertation and certain supporting paperwork to the Office of Graduate Studies, the student becomes eligible to receive the Ph.D. degree.
 

Remark:  An appeal for a waiver of or an exception to any of the foregoing regulations must be submitted, in writing and accompanied by documentation of the extenuating circumstances that underlie the appeal, to the Chair of the GSC. The ASGSC will be the final arbiter in all such matters.
 

Ph.D. Program in Computational and Applied Mathematics

M. A. Program in Mathematics

M. A. Program in Mathematics (Actuarial Focus)

M. S. Program in Computational and Applied Mathematics

M. S. Program in Statistics

Course Offerings

Financial Support

Financial support takes three forms: (1) Teaching Assistantships and Assistant Instructorships; (2) Graduate Research Assistantships; (3) Fellowships. (Note: International students must speak fluent English and pass an oral English assessment exam administered by the University before they can be supported as Teaching Assistants or Assistant Instructors.)

Teaching Assistantships and Assistant Instructorships

Graduate Research Assistantships

Fellowships

The University also has a number of fellowships, which are awarded on a competitive basis. The Graduate Advisor selects students to be nominated for these fellowships on the basis of their academic performance. Annually, between two and four students in the department receive University fellowships.

The UT Department of Mathematics, in partnership with the Texas Institute for Computational and Applied Mathematics (TICAM), has received a VIGRE Grant for the period beginning July 2001. We seek  qualified students to share in our pursuit of VIGRE goals.
VIGRE Graduate Traineeship Information

Finally, the Department of Mathematics tries to give some students summer fellowship support. Recipients are chosen by the ASGSC. Finances permitting, we hope to support ten to twelve students per summer with fellowships.

Cost of Study

How to Apply

On the above Web page, you need to select the appropriate application. U.S. citizens and permanent residents should select "U.S. Graduate/Permanent Resident Application."  If you are not a U.S. citizen or permanent resident, you should select "International Graduate Application." Since the Mathematics program, the Computational and Applied Mathematics program, and the Statistics program are separately administered programs, you need to decide which program is appropriate for you.  For questions about the Mathematics program, contact the Mathematics Graduate Advisor: Bruce P. Palka <gradadv@math.utexas.edu>.  For questions about the Computational and Applied Mathematics program, contact the Computational and Applied Mathematics Graduate Advisor:  Clint Dawson <clint@ticam.utexas.edu>.  For questions about the Statistics program, contact the Statistics Graduate Advisor:  Martha Smith <mks@math.utexas.edu>.  When selecting the "Proposed Graduate Major" or the "Proposed Graduate Program of Study" in the online application, you need to select either "Mathematics" or "Computational and Applied Mathematics" or "Statistics", whichever is the appropriate program for you.

If you select "Mathematics" as your "Proposed Graduate Major" or "Proposed Graduate Program of Study",  then after filling out the online application, you need to send various information to the Graduate and International Admission Center and to the Graduate Advisor in the Department of Mathematics.

The following information should be sent to the Graduate and International Admissions Center,  UT-Austin,  P.O. Box 7608, Austin, TX 78713-7608, USA.

1. GRE scores (general test : verbal and quantitative parts).  These must be sent directly by the testing service.
2. TOEFL scores for international students. These must be sent directly by the testing service.
3. Official transcripts of undergraduate and previous graduate work.
4. Application fee of $50.00 for U.S. citizens and permanent residents and $75.00 for international students.  Your application will not be processed until you pay this fee.

The following information should be sent to the University of Texas at Austin, Graduate Advisor, Department of Mathematics, 1 University Station C1200, Austin, TX 78712, USA.  (If you are applying to the Computational and Applied Mathematics program or to the Statistics program, send the information listed below to the Graduate Advisor for that program.)

1. Three letters of recommendation from faculty who are familiar with your advanced mathematical training.
2. Statement of Purpose describing your mathematical interests and your reasons for doing graduate work at the University of Texas.
3. Unofficial copies of your GRE scores (and TOEFL scores for international students).
4. Unofficial copies (photocopies) of your transcripts.

If you are accepted for admission to our graduate program, you will automatically be considered for financial assistance;  no separate application for financial assistance is required.  Although there are a small number of fellowships, most of our beginning graduate students are supported by Teaching Assistantships.  International students must be able to speak fluent English in order to receive a Teaching Assistantship.  We expect international students to score at least 630 on the TOEFL test (or at least 267 on the computer-based TOEFL test) and pass an oral English assessment exam administered after they arrive at the University of Texas in order for them to receive Teaching Assistantships. If you are an international student and you expect to receive fellowship or scholarship assistance from a government agency in your home country, you should mention that in your Statement of Purpose.

Criteria for admission and award of financial aid:
 The department's Graduate Admissions and Financial Aid Committee will consider the following factors, with no particular weight assigned to any single factor, in arriving at its decision concerning the admission of and awarding of financial aid to an applicant: undergraduate academic record, especially performance in upper-division, conceptually oriented mathematics classes; performance in prior graduate mathematics courses (if applicable); letters of recommendation; the contents of the personal statement, especially as they relate to the intellectual preparedness of the applicant to undertake graduate studies in mathematics or to special circumstances in an applicant's background that might indicate the potential for success in a graduate mathematics program; performance on the Graduate Record Exam; performance on the TOEFL Exam (if applicable).

Anyone who is not able to use the online application can request a paper application from the Graduate and International Admissions Center at the address listed above.

City of Austin

Faculty

Professors

Todd Arbogast, Ph.D., University of Chicago, 1987, Numerical Analysis and Partial Differential Equations.

Efraim Armendariz, Ph.D., Nebraska, 1966, Ring Theory.

William Beckner, Ph.D., Princeton University, 1975, Analysis.

Sterling Berberian, Ph.D., University of Chicago, 1955, Operators in Hilbert Space

Klaus Bichteler, Ph.D., Hamburg (Germany), 1965, Probability.

Robert S. Boyer, Program Verification, Automatic Theorem Proving, and Artificial Intelligence

Patrick L. Brockett, Ph.D., University of California (Irvine), 1975, Probability and Mathematical Statistics

Luis Caffarelli, Ph.D., University of Buenos Aires, 1972., Harmonic Analysis and Partial Differential Equation.

E. Ward Cheney, Ph.D., Kansas, 1957, Approximation Theory and Numerical Analysis.

Alan K. Cline, Ph.D., University of Michigan (Ann Arbor), 1970, Mathematical Software, Numerical Analysis, and Scientific Computing

Jim Daniel, Ph.D., Stanford University, 1965, Actuarial Mathematics, Numerical Computation and Optimization.

Rafael de la Llave, Ph.D., Princeton University, 1983, Mathematical Physics and Dynamical Systems.

John Dollard, Ph.D., Princeton University, 1963, Mathematical Physics and Scattering Theory.

John R. Durbin, Ph.D., Kansas, 1964, Group Theory.

Don E. Edmondson, Ph.D., California Institute of Technology, 1954, Lattice Theory

Bjorn Engquist, Ph.D, Uppsala University, 1969, Applied & Computational Mathematics.

Dan Freed, Ph.D., University of California (Berkeley), 1985, Differential Geometry.

Irene Gamba, Ph.D., University of Chicago, 1989, Applied Mathematics, Partial Differential Equations.

Clifford Gardner, Ph.D, New York University, 1953, Differential Equations, Mathematical Physics, Applied Math

John E. Gilbert, Ph.D., Oxford (England), 1963, Harmonic Analysis and Functional Analysis.

Leonard Gillman, Ph.D., Columbia University, 1953, Rings of Continuous Functions.

Bob Gompf, Ph.D., University of California (Berkeley), 1984, Geometric Topology.

Cameron Gordon, Ph.D, Cambridge (England), 1971, Geometric Topology.

William T. Jr. Guy, Ph.D., California Institute of Technology, 1951, Integral Transforms.

Gary C. Hamrick, Ph.D., Virginia, 1971, Algebraic Topology.

Raymond Heitmann, Ph.D., Wisconsin, 1974, Algebra and Commutative Rings.

Peter W.M. John, Ph.D., Oklahoma, 1955, Statistical Design of Experiments and Quality Assurance.

Sean Keel, Ph.D., University of Chicago, 1989, Algebraic Geometry and Intersection Theory.

Hans Koch, Ph.D., Geneva (Switzerland), 1978, Mathematical Physics, Dynamical Systems, Statistical Mechanics

John Luecke, Ph.D., University of Texas (Austin), 1985, Topology.

Steve McAdam, Ph.D., University of Chicago, 1970, Commutative Algebra.

Tinsley J. Oden, Ph.D., Oklahoma State, 1962, Numerical Computation and Partial Differential Equations

Roger Osborn,

Bruce Palka, Ph.D., University of Michigan (Ann Arbor), 1972, Complex Analysis

Charles Radin, Ph.D., Rochester,1970, Mathematical Physics, Discrete Geometry

Alan Reid, Ph.D., University of Aberdeen (U.K.), 1988, Topology.

Fernando Rodriguez-Villegas, Ph.D., Ohio State University, 1990., Number Theory.

Haskell Rosenthal, Ph.D., Stanford University, 1965, Functional Analysis.

Lorenzo Sadun, Ph.D., University of California (Berkeley), 1987, Mathematical Physics, Differential Geometry, and Analysis.

David J. Saltman, Ph.D., Yale University, 1976, Algebra and Division Algebras.

Ralph Showalter, Ph.D., University of Illinois (Urbana-Champaign), 1968, Partial Differential Equations.

Martha Smith, Ph.D., University of Chicago, 1970, Statistics, Teacher education

Panagiotis Souganidis, Ph.D., University of Wisconsin (Madison), 1983., Nonlinear Partial Differential Equations.

Michael Starbird, Ph.D., Wisconsin, 1974, Topology.

John Tate, Ph.D., Princeton University, 1950, Algebraic Number Theory.

Uri Treisman, Ph.D., University of California (Berkeley), 1985, Undergraduate Mathematics Development.

Karen Uhlenbeck, Ph.D., Brandeis University, 1968, Non-linear Analysis, Gauge Theory and Integrable Systems

Jeffrey Vaaler, Ph.D., University of Illinois (Urbana-Champaign), 1974, Analytic Number Theory.

Jim Vick, Ph.D., Virginia, 1968, Algebraic Topology.

Mikhail Vishik, Ph.D., Moscow (Russia), 1980, Partial Differential Equations, Fluid Dynamics.

Felipe Voloch, Ph.D., Cambridge (England), 1985, Number Theory, Algebraic Geometry.

Robert Williams, Ph.D., Virginia, 1954, Dynamical Systems and Global Analysis.

David M. Jr. Young, Ph.D., Harvard University, 1950, Numerical Analysis.

Thaleia Zariphopoulou, Ph.D., Brown University, 1989., Applied Mathematics.

Associate Professors

Daniel Allcock, Ph.D., UC Berkeley, 1996, Symmetry, Algebraic Geometry.

David Ben-Zvi, Ph.D., Harvard University, 1999, Algebraic Geometry, Representation Theory.

Ralph W. Cain, Ph.D., University of Texas (Austin), 1964, Secondary Mathematics Education

Kathy Davis, Ph.D., Cornell University, 1974, Harmonic Analysis; Biomedical Signal Analysis

Oscar Gonzalez, Ph.D., Stanford University, 1996, Computational and Applied Mathematics, Mechanics,

Tamas Hausel, Ph.D., Cambridge University, 1998, Geometry, Mathematical Physics, Combinatorics.

Daniel Knopf, Ph.D., University of Wisconsin-Milwaukee, 1999, Geometric Analysis, Differential Geometry, Geometric PDE.

Richard Tsai, Ph.D. UCLA, 2002, Applied Mathematics.

Alexis Vasseur, Ph.D., Ecole Normale Superieure / Paris VI, 1999, Partial Differential Equations.

Dale Walston, Ph.D., University of Texas (Austin), 1961, Differential Equations, Numerical Analysis, and Mathematics Education.

Assistant Professors

Thomas Chen, Ph.D., ETH Zurich (Switzerland), 2001, Analysis and Mathematical Physics

David Helm,

Hossein Namazi,

Natasa Pavlovic,

Kui Ren,

Mihai Sirbu,

Lexing Ying, Ph.D., New York University, 2004, Computational Mathematics

Gordan Zitkovic, Ph. D. Columbia University, 2003, Mathematical Finance and Probability

Instructors

Gil Ariel, Ph.D., New York University, 2006, mathematical physics, computational mathematics

Maria-Cristina Caputo, Ph.D., Columbia University, 2006, Partial Differential Equations

Yingda Cheng, Ph.D., Brown University, 2007, Applied Mathematics, Numerical Analysis

David Fithian,

Louiza Fouli, Ph.D. Purdue University, 2006, Commutative Algebra

Maria Pia Gualdani, Applied Mathematics, Partial Differential Equations

Geir Helleloid,

Qinian Jin, Partial differential equations, Inverse ill-posed problems

Florent Jouve,

Aram L. Karakhanyan, Ph.D. Royal Institute of Technology, PDE

Sam, Sang-hyun Kim, Geometric Group Theory, Geometric Topology

Henry Wilton, PhD, University of London, 2006, Geometric Group Theory

Bentuo Zheng, Ph.D., Texas A&M University, 2007

Lecturers

Jane Arledge,

Gary Berg, Ph.D., University of Texas (Austin), 1996, Functional Analysis.

Clayton Bjorland,

Gerard Brunick,

Gustavo Cepparo, MS , Kansas State University, 1999, Statistics

Chi Hin Chan,

Milica Cudina, Applied Probability, Statistics

David Fonken, Ph.D., University of Texas (Austin), 1983,

Bartley Goddard, Ph.D., University of Nebraska, 1989, Number Theory

John Hammond,

Shinko Harper, Ph.D., University of Texas (Austin), 1997, Algebraic Geometry.

Corinne Irwin, M.A., University of Texas (Austin), 1979, Mathematical Education.

Eric Katz,

Phillip Kushner, Ph.D., Stanford University, 1994, Petroleum Geology, Statistics, Applied Earth Sciences.

Hun Kwon,

Hector Lomeli,

Jennifer Mann, Ph.D., Florida State University, 2007, DNA Topology

Brett Milburn,

Mary Parker, Ph.D., University of Texas (Austin), 1988, Statistics.

Diane Radin, M.A., Rochester (New York), 1968, Secondary Mathematics Education.

Ben Rhodes, Ph.D., Oklahoma State University,1961., Statistics

Altha Rodin, Ph.D, University of Texas (Austin), 1988, Division Algebras.

Charles Samuels, Number Theory

Al Sato, Ph.D. Brandeis University, 1978, Topology

Evelyn Schultz, M.A.T., Duke University, Mathematics Education.

Arlo Schurle,

Henry Segerman, Ph.D., Stanford, 2007, 3-Dimensional Geometry and Topology.

Frank Shirley, Ph.D., University of Texas (Austin), 1984, Algebra.

Adriana Sofer, Ph.D., Ohio State University, 1993, Number Theory.

Stephanie Somersille,

Elizabeth Stepp, Phd, University of Kentucky,

Nicolay Tanushev,

Leslie Vaaler, Ph.D., Princeton University, 1982, Theory of Interest, Algebraic Number Theory.

Gloria White,