Carl C. Cowen
EDUCATION
Ph.D. Univ. of California, Berkeley 1976
M.A. Indiana University 1971
A.B. Indiana University 1967
PROFESSIONAL EXPERIENCE
Professor IUPUI 2004-
Director, Actuarial Science Program
IUPUI 2010-
Dean, School of Science Indiana University - Purdue
University at Indianapolis 2004-2006
Visiting Professor Mathematical Biosciences Institute
Department of Mathematics
Ohio State University 2002-2003
Head, Department of Mathematics
Purdue University 1997-2002
Director, Actuarial Science Program
Purdue University 1992-97
Professor Purdue University 1989-2004
Associate Professor Purdue University 1983-89
Assistant Professor Purdue University 1978-83
Visiting Lecturer University of Illinois 1976-78
Instructor Indiana Univ. East, Richmond 1969-72
Instructor Earlham College
(joint appt. with Indiana East) 1969-71
PROFESSIONAL SOCIETIES AND HONORS
AAAS (Amer. Assoc. Adv. Science), Math Section, Nominating Comm. 2010-13
Bernie Morrel Teaching Award, IUPUI Mathematical Sciences Dept. 2010
Mathematical Association of America Certificate for Meritorious Service 2009
Indiana Section MAA Distinguished Service Award 2003
Deborah and Franklin Tepper Haimo Award for Distinguished College or University Teaching 1997
Indiana Section MAA Award for Distinguished College or University Teaching 1995
School of Science Outstanding Undergraduate Teaching Award 1985-86
American Mathematical Society
Mathematical Association of America
Society for Industrial and Applied Mathematics
International Linear Algebra Society
Society for Mathematical Biology
Association for Women in Mathematics
Society for Advancement of Chicanos and Native Americans in Science
American Association for the Advancement of Science
Sigma Xi
Phi Beta Kappa
Marshall Scholarship
PROFESSIONAL ACTIVITIES
Member, Editorial Advisory Board for "Journal of Humanistic Mathematics" 2009-
AMS Representative, Program Committee for "First International Congress on
Mathematics and Statistics" held March, 2010 at Univ. of Sharjah, UAE
Member, NAEP (National Assessment of Educational Progress) Math Standing Committee 2008-
Member, Editorial Board for book series "Issues in Mathematics Education"
(CBMS/AMS) 2008-2010
Member, Steering Committee, Forum on the National Math Panel Report, 2008-09
Member, Advisory Board, Institute for Mathematics and Education, U. of Arizona, 2007-2010
Past-President, Mathematical Association of America, 2007-2008
President, Mathematical Association of America, 2005-2007
Past President, SIGMAA on Mathematical and Computational Biology 2006-2008
President-Elect, Mathematical Association of America, 2004-2005
First Vice President, Mathematical Association of America, 2002-2004
Chair, MAA Coordinating Council on Education, 2000-2002
MAA Coordinating Council on Education, 1996-2002
2004 National Assessment of Educational Progress (NAEP) Math. Planning Comm. 2000-01
Project Director, AMS Task Force on Excellence in Mathematics Scholarship, 1995-97
Indiana Section Governor, Board of Governors, Mathematical Association of America, 1996-1999
SIAM Committee on Education, 1995-2001
AMS Committee on Education, 1993-97, 2000-2003
Member-at-Large, Council, American Mathematical Society, 1992-95
Co-Chair and Purdue Coordinator for Wabash Modern Analysis Seminar 1984-2001
Chair, Indiana Section of the Mathematical Association of America, 1989-90 & 82-83
RESEARCH INTERESTS
Operators on Hilbert Space
Analytic Functions
Matrix Analysis
RECENT PUBLICATIONS
11. (with C. Pommerenke) Inequalities for the Angular Derivative of an Analytic Function in the Unit Disk,
J. London Math. Soc. 26; 271-289, 1982.
41. (with D.E. Crosby, D.L. Horine, R.M. Ortiz Albino, A.E. Richman, Y.C. Yeow,
and B.S. Zerbe) Geometric Properties of Linear Fractional Maps,
Indiana Univ. Math. J. 55; 553-577, 2006.
42. (with Eva A. Gallardo Gutierrez) The Adjoint of a Composition Operator, preprint, 2005.
43. (with Eva A. Gallardo Gutierrez) A New Class of Operators and a Description of Adjoints of Composition Operators,
J. Functional Analysis, 238; 447-462, 2006.
44. (with Eungil Ko) Hermitian Weighted Composition Operators on H^2,
Trans. Amer. Math. Soc., 362; 5771-5801, 2010.
45. (with Gajath Gunatillake and Eungil Ko) Hermitian Weighted Composition Operators on Weighted Hardy Spaces,
Complex Anal. Operator Theory, 7; 69-99, 2013.
46. (with Eva A. Gallardo Gutierrez) Unitary Equivalence of one-parameter groups of Toeplitz and composition operators
J. Functional Anal., 261; 2641-2655, 2011.
47. Does the Master's Degree in Mathematics Get Too Little Respect?
Math Horizons, November 2010, p34.
48. (with Rebecca G. Wahl) Shift-Invariant Subspaces Invariant for Composition Operators on Hardy Spaces
to appear, Proc. Amer. Math. Soc.
49. Finite Blaschke Products as Compositions of Other Finite Blaschke Products,
preprint, arXiv 1207.4010v1, 2012.
50. (with Sungeun Jung and Eungil Ko) Normal and Cohyponormal Weighted Composition Operators on H^2,
to appear, Operator Theory: Advances and Applications.
51. (with Eva A. Gallardo Gutierrez) Rota's Universal Operators and Invariant Subspaces in Hilbert Spaces,
submitted.
52. (with Eva A. Gallardo Gutierrez) Consequences of Universality Among Toeplitz Operators,
submitted.
53. (with Rebecca G. Wahl) Commutants of Finite Blaschke Product Multiplication Operators,
submitted.
54. (with Eungil Ko, Derek Thompson, and Feng Tian) Spectra of Some Weighted Composition Operators, submitted; arXiv 1405.5173, 2014.
BOOKS
(with B.D. MacCluer) "Composition Operators on Spaces of Analytic Functions"
CRC Press, Boca Raton, 1995 (xii+388 pages)
"Introduction to Matrix Analysis for Engineering and Science"
West Pickle Press, 1996 (viii+410 pages)
"Linear Algebra for Engineering and Science"
West Pickle Press, 1996 (viii+462 pages)
PH.D. STUDENTS:
James W. Carlson Weighted Composition Operators on l^2
Ph.D., May 1985
R.K. CampbellWright On the Equivalence of Composition Operators on H^2
Ph.D., December 1989
Houcine Sadraoui Hyponormality of Toeplitz and Composition Operators
Ph.D., May 1992
Paul Hurst Linear Fractional Composition Operators on Weighted Hardy Spaces
Ph.D., August 1995
Mark Ho Spectra of Slant Toeplitz Operators
Ph.D., August 1996
Rebecca Wahl Composition Operators with Multivalent Symbol
Ph.D., August 1997
Tamara Worner Commutants of Some Composition Operators on the Hardy Space
Ph.D., December 1998
Kathryn Lewis Hyponormality of Bergman Toeplitz Operators
Ph.D., December 1999
Ruth D. Enoch Formal Power Series Solutions for Schroeder's Equation
in Several Complex Variables
Ph.D., August 2004
Gajath Gunatillake Weighted Composition Operators
Ph.D., August 2005
Kayla B. Dwelle Some Results on Hadamard Closure and Variation Diminishing
Properties of Totally Nonnegative Matrices
Ph.D., December 2007
Maria Neophytou On the Point Spectrum of Adjoints of Composition Operators
and Weighted Composition Operators
Ph.D., August 2011
Robert A. Bridges A Solution to Schroeder's Equation in Several Variables
Ph.D., August 2012
James M. Carter Commutants of Composition Operators on the Hardy Space of the Disk
Ph.D., May 2013
Derek A. Thompson Restrictions to Invariant Subspaces of Composition Operators on the Hardy Space of the Disk
Ph.D., May 2013
TITLES OF RECENT INVITED ADDRESSES:
How Is New Mathematics Changing Your Life? (Bellarmine Univ. 2014)
Thoughts on Invariant Subspaces in Hilbert Spaces
Rota's Universal Operators and Invariant Subspaces in Hilbert Spaces
Commutants of Blaschke Product Multiplication Operators (Wabash Seminar, April 2014)
An Unexpected Group (Joint Math Meetings, 2014)
Use of Technology in Teaching the Mathematics of Linear Algebra (Joint Math Meetings, 2010)
The Teaching -- Technology Linkage in Mathematics (Joint Math Meetings, 2008)
Spectral Picture for Some Composition Operators
Invariant Subspaces for Composition Operators
Connections Between Mathematics and Biology
Weighted Composition Operators on Functional Hilbert Spaces
Adjoints of Composition Operators
The St. Louis Arch & Other Mathematically Interesting Shapes
Facing the Challenges of a Mathematics Department in a Research University
Linear Fractional Maps in Several Variables
Rearranging the Alternating Harmonic Series
Challenging Your Students to Do Their Best
Fixed Points of Functions Analytic on the Unit Disk
Back to Carl Cowen's Home Page