Â鶹ŮÀÉ

Education

• Ph.D. in Mathematics, University of Virginia, 1964

Research Interests

• Finite groupsÌý
• Combinatorics and application
• Artificial Intelligence

Research Description

My dissertation was in the area of finite groups.Ìý Most of my research has been in finite groups and the related area of combinatorics.Ìý I did some work in coding and cryptology.Ìý I worked in artificial intelligence/expert systems in the 1980’s and retain an interest in the area, especially as it relates to mathematics.

Recent Publications

• 2013 -ÌýÌýÌýÌýÌýApplications of the Matrix of Forbidden Pairs,ÌýCongressus NumerantiumÌý(with A. Mihnea)

• 2015 -Ìý ÌýÌýÌýDistributions for Transformations of Derangements,ÌýJournal of CombinatorialÌýÌýMathematics and
  Ìý Ìý Ìý Ìý Ìý Ìý ÌýÌýCombinatorial ComputingÌý(with A. Mihnea)

• 1998 -ÌýÌýÌýÌýÌýIntroduction and History,ÌýinÌýMathematical Aspects of Artificial Intelligence.

• 1998 -ÌýÌýÌýÌýÌýMathematical Aspects of Artificial IntelligenceÌý(editor), American MathematicalÌýSociety, Providence.

• 1976 - Ìý ÌýÌýOrbits under Actions of Affine Groups over GF(2).ÌýLinear Algebra and ItsÌýÌýApplications

• 1971- Ìý Ìý ÌýProducts of Two Involutions in the General Linear Group,ÌýIndiana UniversityÌýMathematics Journal
  Ìý Ìý Ìý Ìý Ìý Ìý Ìý (with E.C. Paige).

• 1964 - Ìý ÌýÌýNÌýilpotent Height of Finite Groups Admitting Fixed-point-free Automorphisms,ÌýMathÌý. Zeitschr.

Scholarly Activities

I directed the doctoral dissertations of Randy Garrett and Amy Mihnea.Ìý I was one of the founding faculty of the Â鶹ŮÀÉ Computer Science Department.Ìý I was a Founding Fellow of The Institute of Combinatorics and its Applications, and I serve on its Council.Ìý I have directed thirty-five of the Southeastern International Conferences on Combinatorics, Graph Theory and Computing, and served as conference chair for fourteen of the International Symposia on Artificial Intelligence and Mathematics.Ìý I was local arrangements chair for the twenty-fifth IEEE Symposium on the Foundations of Computer Science.Ìý I served as President and Governor of the Florida Section of the Mathematical Association of America, and chaired the national MAA committee on mini-courses.Ìý I was one of the two organizers of the AMS short course at the Joint Mathematics Meetings in 1996.Ìý On May 22, 2017, I received the Douglas D. Dankel II Award for service to the Florida AI Research Society.