Dr. Frederick Hoffman

Education

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

Research Interests

• Finite groups 
• Combinatorics and application
• Artificial Intelligence

Research Description

My dissertation was in the area of finite groups.  Most of my research has been in finite groups and the related area of combinatorics.  I did some work in coding and cryptology.  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 -     Applications of the Matrix of Forbidden Pairs, Congressus Numerantium (with A. Mihnea)

• 2015 -     Distributions for Transformations of Derangements, Journal of Combinatorial  Mathematics and
                Combinatorial Computing (with A. Mihnea)

• 1998 -     Introduction and History, in Mathematical Aspects of Artificial Intelligence.

• 1998 -     Mathematical Aspects of Artificial Intelligence (editor), American Mathematical Society, Providence.

• 1976 -     Orbits under Actions of Affine Groups over GF(2). Linear Algebra and Its  Applications

• 1971-      Products of Two Involutions in the General Linear Group, Indiana University Mathematics Journal
                (with E.C. Paige).

• 1964 -     N ilpotent Height of Finite Groups Admitting Fixed-point-free Automorphisms, Math . Zeitschr.

Scholarly Activities

I directed the doctoral dissertations of Randy Garrett and Amy Mihnea.  I was one of the founding faculty of the FAU Computer Science Department.  I was a Founding Fellow of The Institute of Combinatorics and its Applications, and I serve on its Council.  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.  I was local arrangements chair for the twenty-fifth IEEE Symposium on the Foundations of Computer Science.  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.  I was one of the two organizers of the AMS short course at the Joint Mathematics Meetings in 1996.  On May 22, 2017, I received the Douglas D. Dankel II Award for service to the Florida AI Research Society.