Steven Leth, Ph.D., Professor

• 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
  • (preprint) Towards Chainability for regions obtained from simple dense canals
• Slides for talk at the University of York "Logic and Mathematics" conference, York, England, August 2009