Course Description	Introduces topics used in number theory and algebraic geometry, including radicals of ideals, exact sequences of modules, tensor products, Ext, Tor, localization, primary decomposition of ideals, and Noetherian rings. Prereq., MATH 6140. Undergraduates must have approval of the instructor.
Schedule	MWF 2 - 3 PM,  DUAN G1B39 (University of Colorado Academic Calendar)
Professor	Sebastian Casalaina-Martin Mathematics 221 casa@math.colorado.edu
Office Hours	MWF 3 PM - 4 PM or by appointment.
Textbooks	We will work primarily from: 1.  Atiyah, M. F. and MacDonald, I. G. Introduction to commutative algebra. Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont. 1969 ix+128 pp. Some other introductory books on the subject: 2.  Matsumura, H. Commutative ring theory. Translated from the Japanese by M. Reid. Second edition. Cambridge Studies in Advanced Mathematics, 8. Cambridge University Press, Cambridge, 1989. xiv+320 pp 3.  Eisenbud, D. Commutative algebra. With a view toward algebraic geometry. Graduate Texts in Mathematics, 150. Springer-Verlag, New York, 1995. xvi+785 pp. 4. Bourbaki, N. Commutative algebra. Chapters 1–7. Translated from the French. Reprint of the 1989 English translation. Elements of Mathematics (Berlin). Springer-Verlag, Berlin, 1998. xxiv+625 pp.
Homework	There will be homework assignments posted online.
Syllabus	This syllabus is a rough guide to the topics we will cover.
Policies	Please read the following class policies.