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, 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.

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:

Thoughts on Invariant Subspaces in Hilbert Spaces Rota's Universal Operators and Invariant Subspaces in Hilbert Spaces Some Old and Some New Thoughts on Commutants of Analytic Multiplication Operators Spectral Picture for Some Composition Operators Invariant Subspaces for Composition Operators 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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