The Student Working Seminar in Algebra and Geometry (aka SWAG) is a seminar organized and run by graduate students, for graduate students. The goal of the seminar is to provide graduate students with a space in which to share and discuss topics in Algebra and Geometry that they are interested and learning about. The emphasis of the seminar is in clarity and good understanding of the material, prioritizing them over speed or amount of material covered.

The structure of the seminar consists of weekly meetings on

• Wednesdays in Blocker Building, room 624, at 3:00 pm.

Additionally, biweekly problem solving sessions on

• Mondays and Wednesdays in Blocker Building, room 624, at 8:00 am

will deepen into the material covered during the previous session.

This semester we will be reading Hartshorne's "Algebraic Geometry". We have the ambitious task of covering Chapter II, Sections 1-5, and Chapter III, Sections 1-5.

C. J. Bott presented on Chapter II.

Byeongsu Yu typed up notes on the material being covered.

John Weeks typed up notes on the material being covered.

The material to be covered was chosen because it is essential knowledge any working mathematician in Algebraic Geometry should have. Additional motivation and material to read can be found in:

• Advice for potential graduate students in Arithmetic Geometry by Prof. David Zureick-Brown.
• Notes from Hartshorne's course by Prof. William Stein.

The goals achieved were the coverage of Chapter II, Sections 1-2, in extensive detail (including additional examples and exercises). The reading of Hartshorne's "Algebraic Geometry" was continued during the Spring 2019 Student Working Seminar in Algebra and Geometry.

Some of the past editions of the Student Working Seminar in Algebra and Geometry were:

• Fall 2017.
• Fall 2016.