|
|
Gregory M Lupton
|
|
| Title: |
Chair & Professor
|
| Dept: |
Mathematics and Statistics |
| Office: |
RT 1520 |
| Phone: |
216-687-4681 |
| Fax: |
216-523-7340 |
| 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 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. |
|
| |