Dr. Jay J.
Department of Mathematics
I received my Ph.D. in 1983 from
I am married with two sons, Kevin
and Colin, and a daughter, Holly. My current hobbies are swimming, biking, and
My main research interests are in
Group Theory, Combinatorial Group Theory and Groups acting on Riemann Surfaces.
Click here for my Publication
List and here for my Curriculum Vitae.
I have also done a lot of service and administrative work, for a summary click here
Summary of Service Work.
A few recent papers on Group Theory and on Groups acting on Riemann surfaces may
be found here: Minimal Extension Covers,
Subdirect Products of M* groups,
The Symmetric Genus of p-Groups,
The Symmetric Genus of Large Odd Order
Groups and The Strong Symmetric Genus
Spectrum of Abelian Groups.
I am also interested in the art that can come out of the action of a finite group
on a compact orientable surface. I have published many papers in the Proceedings of the
Bridges conferences on this topic. In the 2006 Proceedings of the Bridges
Conference in London, England (page 131) and I give some pictures of finite
groups acting on compact surfaces of genus 2 or 3. The paper is titled Portraits of Groups. A subsequent paper appeared in
the 2007 Proceedings of the Bridges Conference in San Sebastian, Spain (page
109) and describes how to draw finite groups with orientation reversing
elements acting on compact surfaces. The paper is titled Portraits of Groups II, Orientation Reversing
Actions. A PowerPoint presentation of this paper is also available, click
on PowerPoint . The PowerPoint version of a talk
that was presented to the
Fall 2021 Courses:
MATH 267.002 Introduction to Abstract Mathematics
MATH 369.001 Introduction to Abstract Algebra
This home page was last edited on August 19, 2021.