In this course we will discuss the progression of ideas in the history of algebraic geometry, with a focus on the period from Riemann through Grothendieck (roughly 1850 - 1970). Please see the syllabus for a more detailed description.
| Date | Speaker | Topic | Notes |
| September 13 | Caleb | Introduction, pre-Riemann algebraic geometry | |
| September 20 | Caleb | Riemann surfaces, abelian integrals, birational geometry, moduli of curves | Notes |
| September 27 | Caleb | Rings and ideals, algebraic number theory, Dedekind-Weber approach to Riemann surfaces | Notes |
| October 4 | Ronil | The fundamental group | Notes |
| October 4 | Tony | Cohomology in algebraic geometry | Notes |
| October 11 | Alex | The group law on elliptic curves | Notes |
| October 11 | Tony | Cohomology in algebraic geometry (cont.) | Notes |
| October 18 | Jeffrey | Riemann-Hilbert I | Notes |
| October 18 | Shawn | Riemann-Hilbert II | Notes |
| October 25 | Emily | Hilbert's basis theorem and invariant theory | |
| October 25 | Nicholas | Hilbert's Nullstellensatz and syzygy theorem | Notes Slides |
| November 1 | Zen | Intersection numbers | Notes |
| November 1 | Blair | Bezout's theorem | Notes |
| November 8 | Victoria | Derived functors | |
| November 8 | Seojin | Schemes | |
| November 15 | Ronil | Zeta functions | Notes |
| November 15 | Nicholas | Differential forms, Kähler manifolds, and Hodge theory | Notes |
| November 22 | Sophia | Elliptic curve cryptography | |
| November 22 | Caleb | Review and group discussion | |
| November 29 | No class | Thanksgiving | |
| December 6 | Caleb | Grothendieck |