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
Mathematical Biology
RECENT PUBLICATIONS
22. An Application of Hadamard Multiplication to Operators on Weighted Hardy Spaces
Linear Algebra and Its Applications, 133; 21-32, 1990
23. Composition Operators on Hilbert Spaces of Analytic Functions: A Status Report
Proc. of Symposia in Pure Mathematics, 51, part I; 131-145, 1990
24. Teaching and Testing Mathematics Reading
American Mathematical Monthly, 98; 50-53, 1991
25. (with T. Carroll) Compact Composition Operators not in the Schatten Classes
Journal of Operator Theory, 26; 109-120, 1991
26. Transferring Subnormality of Adjoint Composition Operators
Integral Equations and Operator Theory, 15; 167-171, 1992
27. (with J.R. Angelos and S. Narayan) Triangular Truncation and Finding the
Norm of a Hadamard Multiplier
Linear Algebra and Its Applications, 170; 117-136, 1992
28. Preparing Future Teachers
UME Trends, 3; 8, 1991
29. (with M.A. Dritschel and R.C. Penney) Norms of Hadamard Multipliers
SIAM J. Matrix Anal. and Appl., 15; 313-320, 1994
30. (with K. Debro and P. Sepanski) Geometry and the Norms of Hadamard Multipliers
Linear Algebra and Its Applications, 218; 239-250, 1995
31. (with B.D. MacCluer) Spectra of Some Composition Operators
Journal of Functional Analysis, 125; 223-251, 1994
32. (with P.A. Ferguson, D.K. Jackman, E.A. Sexauer, C. Vogt, and H.J. Woolf)
Finding Norms of Hadamard Multipliers
Linear Algebra and Its Applications, 247; 217-235, 1996.
33. (with E. Harel) An Effective Algorithm for Computing the Numerical Range
preprint, 1995.
34. A Project on Circles in Space
in Resources for Teaching Linear Algebra, edited by D. Carlson, et al.,
MAA, Washington, 1997.
35. (with B.D. MacCluer) Linear Fractional Maps of the Ball and Their Composition Operators
Acta Sci. Math. (Szeged), 66; 351-376, 2000.
36. (with D.E. Crosby) Redundant Matrices for Linear Transformations
preprint, 1996.
37. (with B.D. MacCluer) Some Problems on Composition Operators,
in "Studies in Composition Operators", Contemporary Mathematics vol. 213
edited by F. Jafari, et al., Amer. Math. Soc., Providence, 1998, 17-25.
38. On the Centrality of Linear Algebra in the Curriculum
a) (abridged) MAA FOCUS, vol 17 no 4; 6-7, August 1997.
b) (full) MAA Online: http://www.maa.org/features/cowen.html August 1997.
39. (with B.D. MacCluer) Schroeder's Equation in Several Variables,
Taiwanese J. Math., 7; 129-154, 2003.
40. (with G.B. Jones) Building External Constituencies and Departmental Fund
Raising. Academic Leader, 19(6); 4-5, 2003.
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,
submitted, 2010.
46. (with Eva A. Gallardo-Gutierrez) Unitary Equivalence of one-parameter groups of Toeplitz and composition operators
submitted, 2010.
47.
48.
49. Finite Blaschke products as compositions of other finite Blaschke products, preprint, arXiv 1207.4010v1, 2012.
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
TITLES OF RECENT INVITED ADDRESSES:
The Teaching -- Technology Linkage in Mathematics (Joint Math Meetings, 2008)
An Unexpected Group
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
Leontief Input-Output Models and Their Mathematical Cousins
Circular Symmetry Among Composition Operators
Fixed Points of Functions Analytic on the Unit Disk
Schroeder's Functional Equation for Functions Analytic on the Ball
Composition Operators on Spaces of Analytic Functions on the Ball
Some Open Problems about Composition Operators on Spaces of Analytic Functions
Slant Toeplitz Operators on H^2
Hyponormal Toeplitz Operators
Spectra of Some Composition Operators
Finding the Norm of a Hadamard (Schur) Multiplier
On the Centrality of Linear Algebra in the Curriculum
A Project on Circles in Space
Using BIG Numbers to Keep BIG Secrets
The Farmer's Legacy: An Isoperimetric Problem
What is the Singular Value Decomposition (and why should I care)?
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