Steven Leth, Ph.D.
- Phone: (970)351-2457
- Email: email@example.com
- Office: Ross Hall 2250-B
- 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
- Regions in the nonstandard plane that contain no standard set, Journal of Logic & Analysis 4:16 (2012) 1–17
Slides for recent research talks: