Steven A. Buechler

Professor

B.A., B.S., Eastern Illinois University, 1975
M.A., University of Maryland, 1977
Ph.D., University of Maryland, 1981

Research Interests

In general, my interests are in a subarea of model theory that could be called stability-theoretic classification theory. This field
attempts to generalize the methods of stability theories to classes of models on which a dependence relation is defined. Currently, I am working on coordinatization theorems in simple theories. A second active project is the development of a framework for dependence relations which generalize forking.

Selected Publications

• S. Buechler, Essential Stability Theory, Perspectives in Mathematical Logic, Springer-Verlag, Berlin/Heidelberg/New York, 1996
• S. Buechler, Lascar strong types in some simple theoeries, J. of Symbolic Logic, Vol. 64, No. 2 (1999) 817-824.
• S. Buechler and C. Hoover, Classification of small types of rank ω, part I, J. of Symbolic Logic, Vol. 66, No. 4 (2001)
• S. Buechler , A. Pillay and F. Wagner, Supersimple theories, Journal of the AMS, Vol. 14, No. 1 (2000) 109-124.
• S. Buechler and O. Lessmann, Simple homogeneous model, to appear in Journal of the AMS, 2002.
• S. Buechler, Vaught's conjecture for superstable theories of finite rank, Ann. Pure and Applied Logic, to appear.

Please direct questions and comments to: Steven.A.Buechler.1@nd.edu