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Graduate Mathematics 2012–2013

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Graduate Mathematics 2012–2013 The University of Utah Department of Mathematics GRADUATE BULLETIN 2012–2013 GRADUATE MATHEMATICS 2012–2013 Department of Mathematics University of Utah 155 South 1400 East, JWB 233 Salt Lake City, Utah 84112-0090 USA Chair: Peter Trapa Associate Chair: Nicholas Korevaar Director of Graduate Studies: Andrejs Treibergs Graduate Program Coordinator: Jacque Green Graduate Committee Yekaterina Epshteyn Lajos Horvath´ Jim Keener Yuan-Pin Lee Andrejs Treibergs, Chair Jacque Green Graduate Admissions Subcommittee Peter Alfeld, Chair Alla Borisyuk Dan Ciubotaru Kevin Wortman Andrejs Treibergs Cover: The Mathematics Department in Spring (Photo: P. Alfeld) Editors: Nelson H. F. Beebe, Jacque Green & Andrejs Treibergs Preface This bulletin is prepared annually for graduate students, and those considering graduate study, in the Department of Mathematics. It is intended as a supplement to the bulletin of the University of Utah Graduate School, which is available to all graduate students. The editors of this departmental bulletin welcome suggestions for its improvement from graduate students and members of the faculty. In a suitable PDF file viewer, the hyperlinks in this document can connect via a Web browser to the linked document. For example, selecting https://gradschool.utah.edu/catalog/index.php links to the Graduate School catalog home page. University of Utah Graduate Mathematics 2012–2013 iii TABLE OF CONTENTS CALENDAR OF EVENTS . vi GENERAL INFORMATION . .1 Brief History . .1 Research Facilities. .1 APPLYING TO GRADUATE PROGRAMS. .2 Applications . .2 Financial Aid . .4 Tuition.....................................................................................4 Health Insurance . .4 Housing....................................................................................4 PROGRAMS OF STUDY . .6 Master of Arts and Master of Science Degrees . .6 Master of Statistics (Mathematics) Program . 10 Master of Mathematics with an Emphasis in Teaching Program . 10 Master of Science Degree Program for Secondary School Teachers . 11 Master of Philosophy Degree . 12 Master of Science in Computational Engineering and Science . 12 Professional Master of Science and Technology . 12 Doctor of Philosophy Degree . 13 Graduate School Requirements . 13 Departmental Requirements. .13 Recommended Schedule of Study Toward a Ph.D. Degree . 16 Graduate School Schedule of Procedures for the Ph.D. Degree . 16 INSTRUCTIONS FOR THE PREPARATION AND SUBMISSION OF THESES, DISSERTATIONS & ABSTRACTS . 18 GUIDELINES FOR THE CONTINUATION OF FINANCIAL SUPPORT . 19 SUPERVISORY COMMITTEES . 22 COMPUTING FACILITIES . 23 August 9, 2012, 18:31 MDT iv Graduate Mathematics 2012–2013 University of Utah TABLE OF CONTENTS THE GRADUATE STUDENT ADVISORY COMMITTEE (GSAC). .25 SYLLABI FOR QUALIFYING EXAMINATIONS . .26 SYLLABI FOR UPPER DIVISION AND GRADUATE COURSES AND SEMINARS . 32 RECENT Ph.D. STUDENTS . 42 FACULTY ..................................................................................... 52 August 9, 2012, 18:31 MDT University of Utah Graduate Mathematics 2012–2013 v The T. Benny Rushing Mathematics Student Center August 9, 2012, 18:31 MDT vi Graduate Mathematics 2012–2013 University of Utah CALENDAR OF EVENTS FOR 2012–2013 EVENT Fall Semester Spring Semester Summer Term 2012 2013 2013 Class schedule available on the web . M, Mar 5 M, Sep 17, 2012 M, Feb 4 Classes begin . M, Aug 20 M, Jan 7, 2013 M, May 13 Last day to drop (delete) classes . W, Aug 29 W, Jan 16 W, May 22 Last day to add classes . T, Sep 4 T, Jan 22 T, May 28 Last day to elect CR/NC option . T, Sep 4 T, Jan 22 T, May 28 Tuition payment due . T, Sep 4 T, Jan 22 T, May 28 Last day to withdraw from term length classes . F, Oct 19 F, Mar 1 F, Jun 21 Last day to reverse CR/NC option . F, Nov 30 F, Apr 19 F, Jul 26 Classes end . F, Dec 7 W, Apr 24 W, Jul 31 Reading Day . n/a H, Apr 25 n/a Final exam period . M–F, Dec 10–14 F–H, Apr 26–May 2 H–F Aug 1–2 Grades available on the web . W, Dec 26 T, May 14 T, Aug 13 Annual University Commencement/Convocation Exercises F, May 3 Departmental Written Qualifying Exams (Prelims) . M–W, Aug 13–15, 2012 and W–F, Jan 2–4, 2012 Math Dept. TA training for new graduate students and instructors . Aug. 8–17, 2012 HOLIDAYS, RECESSES, BREAKS (No classes, day or evening. University closed on holidays) Fall Semester 2012 Labor Day Holiday . .M, Sep 3 Fall Break . M–F, Oct 8–12 Thanksgiving Break . H–F, Nov 22–23 Holiday Recess . Sa, Dec 15–Su, Jan 6 Spring Semester 2013 Martin Luther King/Human Rights Day Holiday . M, Jan 21 Presidents’ Day Holiday . M, Feb 18 Spring Break . M–F Mar 11–15 Summer Term 2013 Memorial Day Holiday . M, May 27 Independence Day Holiday . H, Jul 4 Pioneer Day Holiday . W, Jul 24 For additional information concerning registration dates and fee payment deadlines see the univer- sity schedule(s) at http://www.sa.utah.edu/regist/registration/registration.htm. Please note that these dates may change after printing. August 9, 2012, 18:31 MDT University of Utah Graduate Mathematics 2012–2013 1 GENERAL INFORMATION A Brief History The University of Utah is a state tax-supported, coeducational institution. Founded in 1850, it is the oldest state university west of the Missouri River. In recent years, the Graduate School has been awarding approximately 600 Ph.D. degrees per year. The University faculty consists of approximately 3100 members. The Mathematics Department of the University of Utah now awards, on the average, about eight Ph.D. degrees per year. Over 250 people have earned this degree since 1954. Most of them have positions in state and private universities, but some hold nonacademic positions. Six have been awarded Sloan Research Fellowships, 12 have been visiting members of the Institute for Advanced Study in Princeton, and five have been awarded National Science Foundation Postdoctoral Fellowships. Our present graduate faculty numbers 45. A number of the current faculty have received national awards including Sloan Fellowships and Presidential Young Investigator Awards. The University has also recog- nized members.
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