Dr. Joseph Flenner
Assistant Professor of Mathematics
- Ph.D, University of California, Berkeley - 2008
- BS, University of Michigan - 2000
- Model theory
- Number theory
- Association for Symbolic Logic
- Flenner, Joseph and Guingona, Vincent. Convexly orderable groups and valued fields. To appear in Journal of Symbolic Logic.
- Flenner, Joseph and Guingona, Vincent. Canonical forests in directed families. To appear in Proceedings of the American Mathematical Society.
- Flenner, Joseph. Relative decidability and definability in henselian valued fields. Journal of Symbolic Logic 76 (2011), no. 4, 1240-1260.
- Flenner, Joseph. Dissertation: The relative structure of henelian valued fields. University of California, Berkeley (2008).
- Keynote address, 13th Annual Graduate Student Conference in Logic - April 2012 (Model theory and minimality"
- Deophantine equations seminar, Hausdorff Research Institute - February 2009 "Relative decidability in henselian valued fields"
- UCLA Logic Colloquium - November 2008 "The relative structure of valued fields"
- Research focuses on the interactions between model theory, algebra, and number theory. Most recently, have been looking at which algebraic structures satisfy a combinatorial condition called VC-minimality. Have also studied issues surrounding decidabiity and definability in number theory, particularly in valued fields and in polynomial rings over finite fields.