Research Interests
My research interests lie in the field of model theory, a branch of mathematical logic. More specifically, I am interested in:
- Pure and Applied Model Theory
- Nonstandard Analysis
- Model Theory for Metric Structures
Here is a link to my Curriculum Vitae.
I co-organized (with Sylvia Carlisle) the 10th annual Graduate Student Conference in Logic.
Publications
Bezout Domains and Elliptic Curves (joint with Marc Masdeu), Communications in Algebra, Volume 36 Issue 12, 4492-4499.
Hilbert's Fifth Problem for Local Groups, to appear in the Annals of Mathematics.
Nonstandard Hulls of Locally Exponential Lie Algebras, Journal of Logic and Analysis, Volume 1:5 (2009), 1-25.
Work in Progress
- Ends of Spaces and Groups from a Nonstandard Perspective (Preliminary Notes, updated 3/12/09.)
- Rosy Continuous Theories (joint with Clif Ealy)
- Contractible Local Groups (joint with Lou van den Dries)
- Manuscript on Hilbert's Fifth Problem (with Lou van den Dries)
Slides from Talks
Thorn-forking and Rosiness in Continuous Logic, given at ASL North American Annual Meeting in Notre Dame on 5/20/09.
Ends of Finitely Generated Groups from a Nonstandard Perspective, given at McMaster on 10/23/08.
Hilbert's Fifth Problem for Local Groups, given at OSU on 10/30/08.
Nonstandard Hulls of Locally Exponential Lie Groups and Algebras, given at Seminar Sophus Lie in Paderborn, Germany on 1/17/09.