Wyatt Reeves

About

The UT Undergraduate Algebraic Geometry Seminar is intended to be an introduction to algebraic geometry for an undergraduate audience. The seminar will start from the basics and focus on concrete examples and geometric intuition.

We will meet on Mondays and Fridays from 5 to 6 pm in PMA 9.166, starting on Friday, September 6th. Contact me for more information!

Schedule

Time Immemorial

Preliminary Material on Topologies and Rings.

Notes (Incomplete)

Friday, September 6th

Wyatt Reeves

Organizational Meeting. The Zariski Topology.

Lecture Notes

Monday, September 9th

Recitation 1.

Problem set 1

Friday, September 13th

Wyatt Reeves

More on the Zariski Topology.

Lecture Notes

Monday, September 16th

Recitation 2.

Problem set 2

Friday, September 20th

Wyatt Reeves

Affine Varieties, Regular Functions.

Monday, September 23rd

Recitation 3.

Problem set 3

Friday, September 27th

Wyatt Reeves

Regular Maps, Pulling Back Functions.

Monday, September 30th

Recitation 4.

Problem set 4

Friday, October 4th

Wyatt Reeves

Characterizing Affine Varieties.

Monday, October 7th

Recitation 5.

Problem set 5

Friday, October 11th

Wyatt Reeves

Projective Space.

Monday, October 14th

Recitation 6.

Problem set 6

Friday, October 18th

Wyatt Reeves

The Topology on Projective Space.

Monday, October 21st

Recitation 7.

Friday, October 25th

Cancelled.

Monday, October 28th

Recitation 8.

Friday, November 1st

Wyatt Reeves

Regular Maps. Veronese Embedding.

Monday, November 4th

Recitation 9.

Friday, November 8th

Wyatt Reeves

Fundamental Theorem of Elimination Theory

Monday, November 11th

Recitation 10.

Friday, November 15th

Wyatt Reeves

Images of Projective Varieties. Segre Embedding. Abelian Varieties.

Monday, November 18th

Recitation 11.

Friday, November 22nd

Wyatt Reeves

Introduction to Dimension.

Monday, November 25th

Thanksgiving.

Friday, November 29th

Thanksgiving.

Monday, December 2nd

Recitation 12.

Friday, December 6th

Wyatt Reeves

Introduction to Smoothness.

Monday, December 9th

Recitation 13.