Model Theory of Fields

Suggested Reading

Text books in Model Theory

• G. Sacks, Saturated Model Theory , Benjamin 1972.
• W. Hodges, A Shorter Model Theory, Cambridge University Press, 1997.

Articles and Preprints

• Applications of Model Theory to Algebraic Geometry . A collection of articles leading up to Hrushovski's proof of the Mordell-Lang conjecture for function fields. It contains introductory articles on model theory, omega-stability, omega-stable groups and the model theory of algebraically closed fields.
• A. Pillay, Model theory and diophantine geometry, Bulletin AMS Oct. 1997.
• D. Marker, Model theory and real exponentiation. A survey on the model theory of the real numbers with exponentiation that appeared in the Notices of the AMS. (postscript file)
  
  The following two papers are surveys aimed at people with some background in logic.
• D. Marker, An introduction to the Model Theory of Fields. Introductory lectures on the model theory of algebraically closed and real closed fields. (postcript file)
• D. Marker, Strongly minimal sets and geometry. An introduction to geometric model theory and Hrushovski's proof of the Mordell-Lang conjecture. (postscript file)