Lecture Schedule (at Evans 736, Fridays 4:00 – 6:00pm)

1. 9/13: Connor Halleck-Dubé, Overview and Goals Notes (with exercises)
2. 9/20: Kabir Kapoor, Algebraic Curves I: Riemann Surfaces
3. 9/27: Seewoo Lee, Algebraic Curves II: Singular Curves Notes
4. 9/27: Connor Halleck-Dubé, Algebraic Curves II: Residues and Duality (Notes forthcoming...)
5. 10/4: Sanjeev Balakrishnan, Maps from a Curve to a Commutative Group
6. 10/11: Sam Mayo, The Jacobian Variety
7. 10/18: Brian Yang, Representability of the Picard Functor Notes
8. 10/25: Alex Feiner, Structure of Generalized Jacobians
9. 11/1: Kabir Kapoor, The Frobenius and Descent
10. 11/8: Connor Halleck-Dubé, Loose Ends and a Word on Torsors
11. 11/15: Smita Rajan, Coverings and Isogenies
12. 11/22: Jerry Yang, The Projective System Attached to a Variety
13. 12/06: Working out Examples Together
14. 12/13: CJ Dowd, Drinfeld Modules

References (to be updated...)

1. Bosch, Lütkebohmert, Raynaud: Néron Models
2. Cox: Primes of the Form x^2 + n y^2
3. Donaldson: Riemann Surfaces
4. Drinfeld: Elliptic modules
5. Griffiths and Harris: Principles of Algebraic Geometry
6. Kleiman: The Picard Scheme
7. Milne: Arithmetic Duality Theorems
8. Morishita: Knots and Primes
9. Mumford: Curves and Their Jacobians
10. Papikian: Drinfeld Modules
11. Serre: Algebraic Groups and Class Fields
12. Szamuely: Galois Groups and Fundamental Groups