# Paul M. Weichsel

Department of
Mathematics

University of Illinois at Urbana-Champaign

1409 W. Green Street

Urbana, Illinois 61801-2975
Office: 329
Illini Hall

Phone: (217) 333-8937

e-mail: weichsel@math.uiuc.edu

FAX: (217) 333-9576

## Research Areas

**Graph Theory**

I am interested in the algebraic aspects of graph theoretical problems such as
automorphism groups of graphs, the various matrices associated with graphs and
representing graphs as algebraic objects such as vector spaces. In particular,
I study distance transitive and distance regular graphs in a variety of
contexts. I am also interested in the applications of these ideas to questions
in computer science and communications.
**Group Theory**

Earlier in my career, I was active in studying finite p-groups and the varieties
they generate. The subject matter can be seen as a part of Universal Algebra as
well the Theory of Groups. The aim of my work was to develop a set of numerical
invariants that would completely determine the variety of a given finite
p-group. After a good deal of activity in the 60's and 70's, the subject is now
in a period of quiescence and in recent years I have become more of a spectator
than a participant.

## Publications