The graduate student algebra seminar will not run in the Spring semester of 2025. Instead, there will be two seminars running concurrently. Please see below for more details.
Syzygies of Curves
In this reading seminar, we will take turns to present various papers on the syzygies of algebraic curves. The main themes are
1. the Gonality Conjecture
2. the (generic) Green’s Conjecture
3. geometry and syzygies of (higher) secant varieties of curves.
Positivity in Algebraic Geometry
In this reading seminar we will follow Lazarsfeld’s “Positivity in Algebraic Geometry, I”. We will focus primarily on ample and nef line bundles and linear series.