Gregory M Lupton
 Title: Chair & Professor
 Dept: Mathematics and Statistics
 Office: RT 1520
 Phone: 216-687-4681
 Fax: 216-523-7340
 Address: 2121 Euclid Ave. RT 1520, Cleveland, OH 44115

Courses Taught


Faculty Only:
Update Profile

Research Keywords:
Rational Homotopy Theory, Algebraic Topology, Topological Complexity, Digital Topology.
Ph.D., Mathematics, University of Edinburgh (Scotland), 1987
Brief Bio:
Many years ago, I completed all my schooling in the United Kingdom.  I came to the United States for what, at the time, I thought would be a two-year stay.  After a three-year post-doctoral stint at Dartmouth College, I came to Cleveland State.  I am now in my 33rd year on the faculty here!
Research Interests:
My research background is in algebraic topology, with a focus on rational homotopy theory.  For the past decade or more, my interests have gravitated towards applied topology.  This is a burgeoning area of research in which ideas from (algebraic) topology are brought to bear on contemporary applications of mathematics.  For example I have been interested in applying techniques from algebraic topology to the study of something called Topological Complexity.  This is a notion motivated by considerations of the so-called motion-planning problem, from the field of robotics.  Similar ideas may be used to study social choice.  Most recently, I have been interested in Digital Topology. This is a field of research that attempts to develop ideas from algebraic topology in a way that may be applied to the study of digital images.