Time and Place : TueTh 2:20-3:40; Physics P122

Instructor : Radu Laza

Office : Math Tower 4-121
Email :  rlaza@math.sunysb.edu

Office Hours: Tue 4-5

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• Schedule

Course Description

Textbook : We will not follow any particular book, but some recommendations are:

• [R] M. Reid, Undergraduate Algebraic Geometry (a gentle introduction)
• [S] K. Smith et al., An invitation to Algebraic Geometry (a complete first course)
• [F] W. Fulton, Algebraic Curves (an excellent free book)
• [H] J. Harris, Algebraic Geometry - A first course (more advanced, excellent examples)
• [CA] M. Atiyah and I.G. MacDonald, Introduction to Commutative Algebra (the standard reference for CA)
• [AG] R. Hartshorne, Algebraic Geometry (the standard reference for graduate AG)

Note: We will follow the first three books [R], [S], [F]. The books [CA], [AG], and [H] are standard fare for a year long graduate course in Algebraic Geometry.

This course is an introduction to algebraic geometry for undergraduate students. We will discuss the basic concepts of algebraic geometry (affine varieties, Zariski topology, morphisms, projective and quasi-projective varieties, smoothness, singularities, etc.) with a focus on examples. Some commutative algebra is essential, we will try to review the necessary material on the go. The aim of the class is to give you an overview of algebraic geometry and to prepare you for a graduate class in AG.

Announcements

• Welcome! The course is open to anyone interested in algebraic geometry.
• The format is seminar type. I will start presenting the essential material, and in the second part of the semester you will have to do some presentations (under my guidance). There will be no exams, but you will have to do some assignments.
• The OH (Tue 4-5) is intended as an informal discussion of the material presented in class. You are encouraged to attend.

Schedule

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