Douglas A. Leonard
Professor

Research Areas - Algebra - Discrete Mathematics

Office: 114 Allison Lab

Address:
221 Parker Hall
Auburn, AL 36849-5310

Phone: (334) 844-3643
E-Mail: leonada@auburn.edu

Lab/Research Page

Education

B.S., University of Michigan 1970
Ph.D., Ohio State University 1980


Professional Employment

Professor, Department of Mathematics and Statistics, Auburn University 1998 - present
Associate Professor, Department of Mathematics and Statistics, Auburn University 1986 - 1998
Assistant Professor, Department of Mathematics and Statistics, Auburn University 1981 - 1986
Post-doctoral Fello, Michigan State University 1980 - 1981


Professional Activities

Referee: Journal of Combinatorial Theory A, Journal of Combinatorial Theory B, National Science Foundation (Algebra and Number Theory), Journal of Statistical Planning and Inference, Journal of Combinatorial Mathematics and Combinatorial Computing, SIAM Journal of Mathematical Analysis, Designs, Codes, and Cryptography, Transactions of the American Mathematical Society, Graphs and Combinatorics, Journal of Algebraic Combinatorics, IEEE Transactions on computers, IEEE Transactions on Information Theory, Springer Verlag (British Combinatorial Conference), CRC Press, SIAM Journal of Discrete Math, AAECC-12, International Journal of Computers and their Applications, Discrete Mathematic (British Combinatorial Conference), Mathematical Reviews, Questions Mathematics, Journal of Symbolic Computation, Linear Algebra and it's Application, Springer?RISC (Grobner Bases, Codes, and Cryptography volume), Princeton University Press, Journal of Algebra and Applications, International Journal of Mathematics and Mathematical Sciences, Linear Algebra and Multilinear Algebra, Journal of Combinatorial Designs


Research and Teaching Interests

Discrete Mathematics: Coding Theory; Algebraic Combinatorics



Selected Publications

  1. A tutorial on AG code construction from a Grobner basis perspective, Grobner bases, Coding, and Cryptography, editors  M.Sala, T.Mora, L.Perret, S.Sakata, C.Traverso, Springer and RISC, pp.93-106, (2009)
  2. A tutorial on AG code decoding from a Gro¨bner basis perspective, Grobner bases, Coding, and Cryptography, editors M.Sala, T.Mora, L.Perret, S.Sakata, C.Traverso, Springer and RISC, pp.187-196, (2009)
  3. Using Grobner bases to investigate flag algebras and association scheme fusion, Algorithmic Algebraic Combinatorics and Grobner Bases, edi- tors M.Klin, G.A.Jones, A.Jurisic,M.Muzychuk, I.Ponomarenko, Springer and RISC, pp.113-136, (2009)
  4. The qth power algorithm in characteristic 0, submitted, Journal of Symbolic Computation, March 2010, revised July 2010, revised March 2011, revised several times in 2011.
  5. Qth power Package for Macaulay 2, submitted, Journal of Symbolic Algebraic Geometry, March 2010, revised September 2010.


Last updated: 08/12/2015