College of Arts and Sciences
Oklahoma State University

Professor Lisa A. Mantini

• Position: Professor of Mathematics
• Address:
  Oklahoma State University
  Department of Mathematics
  MSCS 401
  Stillwater, OK 74078-1058
  
• Telephone: (405) 744-5688
• FAX: (405) 744-8275
• Email: Use mantini or lisa.mantini at domain name "okstate.edu"

Spring 2009 Teaching Schedule

• Math 2153, Calculus II, TTh 12:30 - 1:45 PM, CLB 112.
• Math 4453, Mathematical Interest Theory, TTh 2:00 - 3:15 PM, CLB 308
• Math 4993, Senior Honors Thesis, TBA
• More information on the courses I'm teaching is contained in the class web pages located on OSU's Online Classroom and Community (login account required)
• Office Hours: Mondays 2:30 - 4:00 PM, Wednesdays 1:30 - 3:00 PM, and by appointment.

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Research and Professional Interests

• Representation theory of semisimple Lie groups, geometric constructions of unitary representations
• Representations of finite groups, finite symmetry and its applications
• Integral transforms such as the Penrose and Radon transform, and the finite analog of the Radon transform
• The teaching of college mathematics, especially training programs for new teachers
• Mathematics competitions at the college and high school levels
  • OSU High School Math Contest
• Currently serve as Faculty Sponsor for Oklahoma Beta Chapter of Pi Mu Epsilon, OSU's Math Club

Selected Publications

Lie groups and representations

• Intertwining Ladder Representations for SU(p,q) into Dolbeault Cohomology, in Non-Commutative Harmonic Analysis, Progr. Math. 220, Birkhäuser, Boston, 2004, pp. 395-418 (with J. Lorch and J. Novak).
• Power Series and Inversion of an Integral Transform, Pi Mu Epsilon Journal 10, 560-574 (1997) (with M. Oehrtman).
• Inversion of an Integral Transform and Ladder Representations of U(1, q), in Representation Theory and Harmonic Analysis, Contemp. Math. 191, AMS, Providence, 1995, pp. 117-138 (with J. Lorch).
• An L²-Cohomology Construction of Unitary Highest Weight Modules for U(p,q), Trans. Amer. Math. Soc. 323, 583-602 (1991).
• An L²-Cohomology Construction of Negative Spin Mass Zero Equations for U(p,q), J. Math. Anal. Appl. 136, 419-449 (1988).
• An Integral Transform in L²-Cohomology for the Ladder Representations of U(p,q), J. Fun. Anal. 60, 211-242 (1985).

Finite groups and representations

• A First Course in Finite Symmetry, textbook for undergraduate course in group theory and beginning representation theory, in preparation.

Finite Radon transform

• On inversion of the finite Radon transform, Senior Honors thesis by David Paige.

Teaching and Teacher Training

• Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom, edited by Solomon Friedberg, American Mathematical Society, 2002 (contributing author)
• Undergraduate Reflections, essay published in Ventures, the University of Pittsburgh's College of Arts and Sciences Alumni Magazine, Spring 1996, p. 25.
• To Challenge with Compassion: Goals for Mathematics Education, MAA FOCUS 15, Number 5 (October 1995), pp. 10-11.

Mathematics Competitions

• Why Not Try Solving Problems?, by A. P. Hillman, L. A. Mantini, and M. E. Newton, submitted.

Brief Curriculum Vitae

Education

• B.S. in Mathematics, Summa Cum Laude with Departmental Honors, University of Pittsburgh, 1977
• A.M. in Mathematics, Harvard University, 1979
• Ph.D. in Mathematics, Harvard University, 1983; Advisor: Michèle Vergne

Positions Held

• Assistant Professor of Mathematics at Wellesley College, 1983-1985
• Assistant Professor of Mathematics at Oklahoma State University, 1985-1991 (on leave, 1986-87 and 1989-90)
  • Gästwissenschaftler (Visiting Scientist), Georg-August-Universität in Göttingen, West Germany, 1986-1987
  • Visiting Assistant Professor at Princeton University and Visitor at the Institute for Advanced Study, Princeton, New Jersey, 1989-1990
• Associate Professor of Mathematics at Oklahoma State University, 1991-2007 (on sabbatical, 1994-95 and Fall 2001)
  • Member, Institute for Advanced Study, Princeton, New Jersey, 1994-1995
  • Member, Mathematical Sciences Research Institute, Berkeley, California, Fall 2001
• Professor of Mathematics at Oklahoma State University, 2007-present.
• Member, Board of Trustees, Oklahoma School of Science and Mathematics, 2000-present
• Member from Oklahoma-Arkansas section, Board of Governors, Mathematical Association of America, 2002-2005 (elected)

Selected Research Awards and Grants

• PI, NSF Grant DUE-9981007, Representations of Finite Groups and Applications, 2000-2002
• Co-PI, NSF Grant REU-9300570, Computational Explorations in Geometry and Analysis, 1993-1995
• Founder's Postdoctoral Fellowship, American Association of University Women, 1994-1995

Student Research Directed

• Doctoral Dissertations directed
• Masters' Reports directed
• Senior Honors Theses directed

Teaching Awards and Recognitions

• Oklahoma State University Regents' Distinguished Teaching Award, 1994
• MAA Oklahoma-Arkansas Section Distinguished Teaching Award, 1994
• Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching of Mathematics, Mathematical Association of America, 1995
• Undergraduate Lecturer, IAS/Park City Mathematics Institute Mentoring Program for Women in Mathematics, May 1998.

Personal Information

• Divorced, two children
  • Daughters Julie Mantini Wright, currently an undergraduate at Harvard University, and Alexandra Mantini Wright, called Sandy, a student in Stillwater Junior High School
  • Scholastic Art Competition Silver Portfolio Award, 2006 (Top 100 portfolios nationwide by a high school senior) by my oldest daughter, Julie, included the following pieces:
    • Violin Scroll, part of the 2006 Tour de Quartz
    • Motion, winner of an American Vision Award, 2006
    • Funeral Flowers, Gold Key Award, Scholastic Art Competition, Oklahoma region, 2004 and 2005
    • Beets
    • Waiting for Sound, Gold Key Award, Scholastic Art Competition, Oklahoma Region, 2005
    • Coral Reef, Gold Key Award, Scholastic Art Competition, Oklahoma region, 2004 and 2005
    • The Intellectual (portrait of Julie's dad)
    • Grandma's Quilt (portrait of Julie's sister)
    • Man on Couch
  • Some other pieces of Julie's:
    • Julie with a Pearl Earring (homage to Vermeer)
    • Self portrait
    • Nectarines
  • Family portrait from April 2006 taken at my brother Dan's wedding
  • Family portrait from Christmas 1997
  • Older pictures of Julie and Sandy
  • Even older pictures of Julie and Sandy
• Hobbies and interests:
  • Weight training (well, I need to get back to this!)
  • Playing bridge
  • Cooking
  • Music, including singing, playing the piano, and arranging music for the young instrumentalists who play with the church choir
• Volunteer work:
  • Girl Scout Leader for my daughter Sandy's troop
  • Lector and choir member at St. John's University Parish

Links

Math Department Home Page

College of Arts and Sciences Home Page

Oklahoma State University Home Page