Professor Lisa A. Mantini
 Position: Professor of Mathematics
 Director of Undergraduate Studies in Mathematics
 Undergraduate Advisor for Math majors and minors
 Address:
Oklahoma State University
Department of Mathematics
401 MSCS
Stillwater, OK 740781058
 Telephone: (405) 7445688
 FAX: (405) 7448275
 Email: lisa.mantini (at) okstate.edu
Spring 2016 Schedule
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Fall 2016 Schedule
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Forms for Math Majors
 Diploma Application Form for students not currently enrolled at
OSU. If you are currently enrolled, your Diploma application will be
submitted online at the prodosu.okstate.edu site.
 Certification of Second Major or Minor Form for students who are graduating with a
degree in another discipline but who are completing a second major or minor in
mathematics. This form must be completed and submitted before your
major or minor in mathematics will be posted to your transcript. The form
requires the signature of an undergraduate advisor in the Math Department.
Teaching History
I have taught many courses at Oklahoma State over the years, including:
 College Algebra
 Trigonometry
 Geometric Structures for Early Childhood and Elementary Educators
 Honors Seminar: Patterns and Symmetry in Mathematics
 Calculus I, II, and III
 Differential Equations
 Linear Algebra
 Introduction to Modern Algebra
 Introduction to Modern Analysis
 Vector Calculus
 History of Mathematics
 Mathematical Interest Theory
 Groups and Representations
 Problem Solving Seminar
 Modern Algebra I, II
 Advanced Calculus I, II
 Advanced Linear Algebra
 Methods of Applied Mathematics
 Case Studies in Applied Mathematics
 Seminar and Practicum on the Teaching of College Mathematics
 Lie Groups and Representations, Lie Algebras
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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
 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 NonCommutative
Harmonic Analysis, Progr. Math. 220, Birkhäuser, Boston,
2004, pp. 395418 (with J. Lorch and J. Novak).
 Power Series and Inversion of an
Integral Transform, Pi Mu Epsilon Journal 10, 560574
(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. 117138 (with J. Lorch).
 An L^{2}Cohomology
Construction of Unitary Highest Weight Modules for
U(p,q), Trans. Amer. Math. Soc. 323, 583602 (1991).
 An L^{2}Cohomology
Construction of Negative Spin Mass Zero Equations for U(p,q),
J. Math. Anal. Appl. 136, 419449 (1988).
 An Integral Transform in
L^{2}Cohomology for the Ladder Representations of U(p,q),
J. Fun. Anal. 60, 211242 (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
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. 1011.
Mathematics Competitions
 An Invitation to Problem Solving,
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, 19831985
 Assistant Professor of Mathematics at Oklahoma State University,
19851991 (on leave, 198687 and 198990)
 Gästwissenschaftler (Visiting Scientist),
GeorgAugustUniversität in Göttingen, West Germany, 19861987
 Visiting Assistant Professor at Princeton University and
Visitor at the Institute for Advanced Study, Princeton, New
Jersey, 19891990
 Associate Professor of Mathematics at
Oklahoma State University, 19912007 (on sabbatical, 199495
and Fall 2001)
 Member, Institute for Advanced Study, Princeton, New Jersey, 19941995
 Member, Mathematical Sciences Research Institute, Berkeley,
California, Fall 2001
 Professor of Mathematics at Oklahoma State University, 2007present
(on sabbatical, Spring 2010)
 Visiting Professor, School of Mathematical and Statistical Sciences,
Arizona State University, Spring 2010
 Member from OklahomaArkansas section, Board of Governors,
Mathematical Association of America, 20022005 (elected)
Selected Research Awards and Grants
 PI, NSF Grant DUE9981007, Representations of Finite Groups
and Applications, 20002002
 CoPI, NSF Grant REU9300570, Computational Explorations
in Geometry and Analysis, 19931995
 Founder's Postdoctoral Fellowship, American Association of
University Women, 19941995
Student Research Directed
Awards and Recognitions for Teaching and Advising
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Personal Information
 Divorced, two children
 Daughters Julie Mantini
Wright, a graduate of Harvard University in Visual and Environmental
Studies (studio art),
and Alexandra Mantini Wright,
called Sandy, an undergraduate at the University of Oklahoma majoring
in linguistics and French.
 Daughter Sandy is a cellist.
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
 Hobbies and interests:
 Playing bridge
 Cooking
 Music, including singing, playing the piano, and arranging
music for the young instrumentalists who play with the church choir
 Volunteer work:
 Choir member at St. John's University Parish
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Links
Math Department Home Page
College of Arts and Sciences Home Page
Oklahoma State University Home Page
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Lisa A. Mantini