- BA: Swarthmore College (Pennsylvania)
- MA: University of Wisconsin (Madison, WI)
- Ph.D.: University of Wisconsin (Madison, WI)
I have been on the faculty at UH since I arrived as an assistant professor in 1991. Prior to that I had appointments at a variety of departments, including the Universities of Iowa and Minnesota and a postdoc at Hull University in England...in a department that no longer exists! Since my time here I have also been a visiting scholar or visiting professor in several departments, most recently (2012) the University of Oslo.
My primary research interest is nonstandard analysis, as well as related areas of mathematical logic, especially model theory. Other interests include measure theory, probability, and statistics. I have also published in philosophy, computer science, and have been co-pi on an NSF grant in Biosystems Analysis and Control, working in ethology (a subfield of zoology).
I am the editor-in-chief of the Journal of Logic and Analysis
- Nonstandard Methods and Applications in Mathematics, Lecture Notes in Logic 25, ASL Press, 2006 (ed., with Nigel Cutland and Mauro di Nasso)
Selected Mathematics Papers:
- Extensions and applications of the S-measure construction, J. Symbolic Logic (4) 2013
- Pushing down infinite Loeb measures, Math. Scand. (104) 2009
- Loeb measure, finitely-additive measures, and a theorem of Banach, Monat. fur Math. (156) 2009
- More on S-measures, in The Strength of Nonstandard Analysis (Springer, 2007)
- A nonstandard proof of a lemma from constructive measure theory, Math. Log. Quart. (52) 2006
- Nonstandard measure constructions - solutions and problems, in Nonstandard Methods and Applications in Mathematics (2006)
- Infinite products of infinite measures (with Peter A. Loeb) Illinois Journal of Mathematics (49) 2005
- An elementary proof of Lyapunov's Theorem, American Mathematical Monthly}(112) 2005