This will be different than courses I offered in recent years. It will not depend on Model theory II.

I will concentrate in classification theory for first-order theories. The theory was developed mostly by Saharon Shelah presented in his 1990 book and in several hundreds of papers.

The American Mathematical Society announced that in January 2013, it will award Shelah the "Steel prize for Seminal Contribution to Reseach" for his 1990 book.

Among the reasons given: "... made model theory into a mature field, completely transforming its aims, methods, and ability to connect to algebra and geometry."

Prerequisites: Elementary model theory (21-603) or permission of the instructor. The pace of presentation will be much faster than in 21-603.

Text: There is no official text.

Some of the material appears in the following books:

• J. Baldwin, Fundamentals of stability theory.
• S. Buechler, Essential Stability theory.
• A. Pillay, Stability.
• Bruno Poizat, A course in Model Theory, Springer-Verlag 2000.
• Saharon Shelah, Classification Theory North-Holland 1990. This is the most important and difficult book in model theory.