Gary Ebert
Emeritus Professor
Ph.D., University of Wisconsin
E-Mail: ebert@math.udel.edu
Research Interests
- I consider myself a combinatorialist, specializing in finite geometries. Most of my work has dealt with constructing various geometrical structures or configurations, and then analyzing or characterizing those structures. The general geometric setting is typically some projective or affine space (or perhaps a circle geometry of some type) over a finite field. Some of my work has application to coding theory, although I prefer to concentrate on the theory. Techniques used are typically a blend of finite field theory, elementary number theory, and finite group theory together with the usual counting arguments. In recent years I have been using various software packages, such as Cayley or Magma, to help construct relatively 'large' examples and to analyze those examples in the hope of recognizing patterns that can be generalized and eventually proven as theorems. Thus I use the computer in the discovery process as opposed to using the machine as a 'number-cruncher.'
For more information, see my individual
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