
Gregory M Lupton


Title: 
Chair & Professor

Dept: 
Mathematics and Statistics 
Office: 
RT 1520 
Phone: 
2166874681 
Fax: 
2165237340 
Email: 
G.LUPTON@csuohio.edu

Address: 
2121 Euclid Ave. RT 1520, Cleveland, OH 44115 



Research Keywords: 
 Rational Homotopy Theory, Algebraic Topology, Topological Complexity, Digital Topology. 


Education: 

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 twoyear stay. After a threeyear postdoctoral 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 socalled motionplanning 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. 

