Steven Leth, Ph.D.
Professor
Contact Information
- Phone: (970)351-2457
- Email: steven.leth@unco.edu
- Office: Ross Hall 2250-B
Education
- Ph.D., Mathematics, University of Colorado (1985)
- M.S., Mathematics, Stanford University (1978)
- B.S., Mathematics and Physics, University of Colorado (1976)
Current Research and Publications
My research is in the area of nonstandard analysis, which could be described as a method for applying concepts from logic to other branches of mathematics. I have published several papers in which this method is used to obtain results in such areas as combinatorial number theory and geometric topology. I am also interested in methods of teaching mathematics, and have given a number of talks about calculus reform, writing in mathematics classes and ways to enrich the mathematical curriculum at the elementary and middle school levels. I would be happy to share reprints of papers or discuss any of these issues, mathematical or educational with anyone who is interested.
Three most recent research papers:
- Nonstandard methods and the Erdos-Turan conjecture, in The Strength of Nonstandard Analysis, van den Berg and Neves (eds.), Springer
- Near Arithmetic Progressions in Sparse Sets, Proceedings of the American Mathematical Society (134) no. 6, June 2006, pp. 1579-1589
- Towards Chainability for regions obtained from simple dense canals (preprint)
Slides for talk at the University of York "Logic and Mathematics" conference, York, England, August 2009
Slides from talks in Sacramento, June 2010: Slides1 and Slides2
