Professor A. Duane Porter
Ross Hall 217
University of Wyoming
Laramie, WY 82071-3036
307.766.3395 (voice)
307.766.6838 (fax)
adporter@uwyo.edu

Education

Ph.D., University of Colorado, 1964
 M.S., Michigan State University, 1961
B.S., Michigan State University, 1960


Publications
Other Activities

Dr. Porter studies properties of matrices as well as matrix and polynomial equations over finite fields. The usual canonical forms for various types of matrices are not always valid over finite fields and work is underway to develop related ones. These new forms, as well as extensions of classical number theory results, are used to prove solvability and to determine number of solutions of various types of equations over finite fields.

Professor Porter's activities also include curriculum issues and he is currently serving on national panels reviewing the undergraduate education curriculum in the U.S. Professor Porter's particular emphasis is on the teaching of linear algebra. He has also been active in the training of public school teachers at all levels.

Publications

Books

Linear Algebra Gems: Assets for the Undergraduate Linear Algebra Curriculum, Mathematical Association of America (2002), 328 pages (with D. Carlson, C. Johnson, D. Lay).
Studies on Composition Operators, American Mathematical Society, 1998, 252 pages (with F. Jafari, C. Cowen, G. MacCluer).
Resources for Teaching Linear Algebra, Mathematical Association of America, 199, 298 pages (with D. Carlson, C. Johnson, D. Lay, A. Watkins, W. Watkins).

Selected Articles

"Indian Mathematics," An Ethnomathematical Review, ERIC Clearinghouse for Science, Mathematics and Environmental Education (August, 2000), ERIC No. ED438170 (with C. Funkhouser, J. Hirstein, L. Ipina).
Linear Algebra Curriculum Study Group Recommendations for a First Course in Linear Algebra, College Math. Journal 24 (1993), 41-46 (with D. Carlson, C. Johnson, D. Lay).
Gems of Exposition in Elementary Linear Algebra, College Math Journal 23 (1992), 299-303 (with D. Carlson, C. Johnson, D. Lay).
Ranked Hermitian Matrix, equations, Algebras, Groups and Geometries, Vol. 7 (1990), 127-144.
Ranked symmetric matrix equations, Algebras, Groups and Geometries, Vol. 4 (1987), 383-394 (with Nick Mousouris).
Partitions of Hermitian matrix over a Finite Field, Algebras, Groups and Geometries, Vol. 3 (1986), 1-18 (with Nick Mousouris).
Partitions of a skew matrix over a Finite Field, Linear and Multilinear Algebra, Vol. 17 (1985), 309-323 (with Nick Mousouris).
Partitions of a symmetric matrix over a Finite Field, Linear and Multilinear Algebra, Vol. 10 (1981), 329-341.
Exponential sums and rectangular partitions, Linear Algebra and its Applications, Vol. 29 (1980), 347-355.
Ranked solutions of AXC = B and AX = B, Linear Algebra and its Applications, Vol. 24 (1979), 217-224 (with Nick Mousouris).
Some partitions of a symmetric matrix, Mathematische Nachrichten, Vol. 84 (1978), 179-183.
Ranked Solutions of some matric equations, Linear and Multilinear Algebra, Vol. 6 (1978), 145-151 (with Nick Mousouris).
On solvability of AX = B, Linear Algebra and its Applications, Vol. 13 (1976), 177-184.
Some partitions of a Hermitian matrix, Linear Algebra and its Applications, Vol. 12 (1975), 231-239.
An exponential sum in a finite field, Publicationes Mathematicae, Vol. 20 (1973), 53-62.
Orthogonal similarity of normal matrices in GF(q), Duke Mathematical Journal, Vol. 38 (1971), 795-803 (with Leslie Ann Hanson).
Generalized bilinear forms in a finite field, Duke Mathematical Journal, Vol. 37(1970), 55-60.
Similarity and orthogonal similarity in a finite field, Duke Mathematical Journal, Vol. 35 (1968), 519-524 (with John Adams).
Orthogonal similarity for skew matrices in GF(q), Accademia Nazionale Dei Lincei, Vol. 42 (1967), 757-762.
Pairs of bilinear equations in a finite field, Canadian Journal of Mathematics, Vol. 18 (1966), 561-565.

Other Activities

Administrative Duties:

1982--2002, Director, Rocky Mountain Math Consortium Summer Conference, University of Wyoming.
1979--1983, Director, Science and Mathematics Teaching Center, University of Wyoming.
1978--1979, Acting Head, Mathematics Department, University of Wyoming.
Summer 1976, Acting Head, Mathematics Department, University of Wyoming.

Honors and Awards:

Recipient of CASE Wyoming Professor of the Year Award, 1999.
Recipient of Duke Humphrey Distinguished Faculty Award, 1998.
Elected: Who's Who in the World, 1996
Recipient of University of Wyoming Ellbogen Award for outstanding teaching, 1994.
Recipient of Rocky Mountain Section of Mathematical Association of America Distinguished Teaching Award, 1994.
Recipient of Mathematical Association of America Distinguished Service Award, 1992.
Recipient: Arts and Sciences Award for Outstanding Teaching, 1992
Recipient of Arts and Sciences Professorship, 1989--90.

1992-1999
Recipient: Outstanding Leaders in Sciences Award
Recipient of Vice President of Research Award, University of Wyoming.
Recipient of three Arts and Sciences Research Awards, University of Wyoming.

1980

Recipient: Amoco Award for Outstanding Teaching
Member: Who's Who
Member: Who's Who in the World
Member: New York Academy of Sciences
Member: Who's Who in Cambridge (England)
Member: Who's Who in Education

Academic and Professional Achievements:

Over 50 research articles in mathematics journals.
PI on ten funded NSF grants totaling 3.5 million dollars.
Referee for eight journals.
Reviewer for Mathematical Reviews and Zentralblatt Fur Mathematik.
Section Chairman of Rocky Mountain Mathematical Association of America, 1975-77, 1988-90.
Member of Board of Governors of M.A.A., 1978--81.
Organizer and member of Linear Algebra Curriculum Study Group, 1990-present.
Linear Algebra Editor, Rocky Mountain Journal of Mathematics, 1988-present.
Member, MAA Speaker Series starting 1991, 4 years.
Chairman, Rocky Mountain Mathematics Consortium, 1978-79, 1983-84, 1988-89.
Vice Chairman, Rocky Mountain Mathematics Consortium, 1978-79, 1982-83, 1986-87.
Secretary-Treasurer, Rocky Mountain Mathematics Consortium, 1977-78, 1981-82, 1988-89.
Coordinator for Annual State Mathematical Meeting of the University of Wyoming and the State's two year colleges, 1976-2001.
Director, Wyoming State Mathematics Test for High School Students, 1985--1989.
Evaluator and presenter at the Conference on Innovative Teaching Methods held at the University of Arizona.
Organized over twelve sessions at regional MAA meetings.
Organized ten special sessions at National AMS/MAA meetings.
Scholarship Committee, MAA.
Invited speaker at over 30 American universities.
Invited speaker at over 20 foreign universities in ten countries.
Invited speaker to National, Regional & State NCTM meetings. Twelve talks since 1985.
Given 50-60 workshops and talks to public school teachers in California, Colorado, Florida, Ohio, and Wyoming since 1975.

Over 20 talks to meetings and Math Departments on the linear algebra curriculum since 1990.

Selected Grants:

1993-2001 Model Masters Degree Program $1,550,330
1993 Differential and Difference Equations and Recent Developments in Population Biology $69,102
1991 The Many Facets of Combinatorics $54,498
1990-1994 Model Mathematics Program for Elementary Teachers $333,872
1990 Recent Development in Differential Equation and Ecological Modeling $78,485