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 74078-1058
- Telephone: (405) 744-5688
- FAX: (405) 744-8275
- Email: lisa.mantini (at) okstate.edu
Summer 2021 Schedule
Fall 2021 Schedule
Mathematical Origami
Click here to see samples of mathematical origami created by students in my Math and Origami class in Spring 2018.
Outstanding Math Majors
Math majors often are double majors with second majors, or second degrees, in another discipline. And math majors are so Outstanding that the Math Department has to share our Outstanding Seniors with other departments!
- This picture from the Arts and Sciences Banquet in April 2018 shows that we have six graduating senior Math majors designated as Outstanding in the College of Arts and Sciences! From left, Sam Jackson, double degree in math and computer science, Outstanding Senior in Computer Science; Nicole Judkins, double degree in Math and Statistics, Outstanding Senior in Statistics; Field Watts, double degree in Math and Chemistry, Outstanding Senior in Chemistry; Nick Nelsen, triple degree in Mathematics, Mechanical Engineering, and Aerospace Engineering, Outstanding Senior in Mathematics and Arts and Sciences Top Ten Outstanding Senior; Dr. Mantini; Hannah Wallis, double degree in Math and Economics, Outstanding Senior in Economics; Andrew Schulz, double degree in Math and Mechanical Engineering, Arts and Sciences Top Ten Outstanding Senior; also Carly Bender, sophomore Arts and Sciences scholarship winner; and Carson Cole, junior Arts and Sciences scholarship winner. We are very pleased that Field Watts has also been designated as the Orange Gown Graduate for the College of Arts and Sciences. He will lead the procession into Gallagher-Iba Arena during our graduation ceremony on May 12, 2018. Well done, Field!
- This picture from the Arts and Sciences Banquet in April 2017 shows
that Outstanding recognitions were earned by Math Majors (from left)
Jim Dickinson, Outstanding Senior from Chemistry; Tim Alland, Outstanding Senior from Mathematics; Mitchell Meyer, one of the Top Ten Arts and Sciences Outstanding Seniors; and David Mayes, Outstanding Senior from Physics. Dr. Mantini is showing her Outstanding Advisor Award and her magic advising wand!
- This picture
from the Arts and Sciences Banquet in April 2016 shows that Outstanding Math Seniors in fact were the Outstanding Seniors from five different A&S Departments. From left, Ryan Burkhart, Outstanding Senior from Mathematics; Connor Davis, Outstanding Senior from Computer Science; Greg Beauregard, Outstanding Senior from Physics; Robin Clower, Outstanding Senior from Foreign Language; and Emily Doyel, Outstanding Senior from Economics. Connor, in fact, is a "Three-Peat:" he was Outstanding Senior from Mathematics and Outstanding Senior from Economics in 2014.
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Forms for Math Majors
- 2017-2018 Scholarship Application for continuing Math Majors. All students graduating in December 2017 or later, with a declared major in Math, are eligible. Deadline for receipt of your application is 5:00 PM on Wednesday, February 15, 2017.
- 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
- Introduction to Mathematical Modeling
- 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
- Freshman Orientation, now called Freshman Seminar
- Various special Honors add-ons including The Mathematics of Perspective, Honors Differential Equations, and Introduction to Contract Bridge
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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 Co-advisor and Permanent Faculty Correspondent 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
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
- 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, 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 from Oklahoma-Arkansas section, Board of Governors,
Mathematical Association of America, 2002-2005 and 2014-2017 (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
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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 currently a graduate student at Brooklyn College in Art History, also a tutor for mathematics and standardized tests in New York,
and Alexandra Mantini Wright,
called Sandy, a graduate of the University of Oklahoma with degrees in
linguistics and mathematics, currently working in IT at the University of Texas in Austin.
- 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
