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Professor Lisa A. Mantini

$My portrait$

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: mantini (at) math.okstate.edu

Spring 2010 Schedule

For Spring 2010, I am on sabbatical in the School of Mathematical and Statistical Sciences at Arizona State University in Tempe, Arizona. You may contact me at my OSU email address, above, or at mantini (at) math.asu.edu.

ASU Teaching Schedule: MAT 300, Mathematical Structures, TTh 3:00 - 4:15 PM. This is the first proof course at ASU for Math and Math Ed majors.

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Research and Professional Interests

Research in undergraduate mathematics education
The teaching of college mathematics, especially training programs for new teachers
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
Representation theory of semisimple Lie groups, geometric constructions of unitary representations
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

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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.

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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 (on sabbatical, Spring 2010)
- Visiting Professor, School of Mathematical and Statistical Sciences, Arizona State University, Spring 2010
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

Awards and Recognitions for Teaching and Advising

Oklahoma State University College of Arts and Sciences Outstanding Faculty Advisor Award, Spring 2009
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.

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Personal Information

Divorced, two children
- Daughters Julie Mantini Wright, currently an undergraduate at Harvard University, and Alexandra Mantini Wright, called Sandy, who is in the Class of 2011 at Stillwater High School (currently at Dobson High School in Mesa, Arizona), are both artists.
- Daughter Sandy is a cellist. She has played with several orchestras over the past few years:
  - Dobson High School Chamber Orchestra and Full Symphony Orchestra (R. Nichols, conductor), Spring 2010
  - Stillwater High School Orchestra (S. Jackson, conductor), 2007 - present (on leave, spring 2010)
  - Oklahoma State University String Academy (D. Droste, conductor), Fall 2009
  - Oklahoma Arts Institute Orchestra (C. Knapp, conductor), Summer 2009
  - Oklahoma Youth Symphony (D. Droste, conductor), 2008-2009
  - St. John's University Parish Music Ministry (M. Middlebrook, director), 2006-present
  Here is a recording from December 2009 of her performing the cello solo in Fauré's Elégie with pianist Louise Reginia.
- Daughter Julie is a painter. She won a Silver Portfolio Award from the Scholastic Art Competition in 2006 (Top 100 portfolios nationwide by a high school senior), which 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
Some family pictures
- 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