Curves, Jacobians, and Modern Abel-Jacobi Theory
       
                Fall 2020
                Tu: R. Pandharipande
                Th: Y. Bae
       
   
Curves, divisors, Jacobians, classical Abel-Jacobi theory, moduli of curves, tautological classes,
universal Abel-Jacobi maps,
stable maps, double ramification cycles, Pixton's formula and proof, universal Abel-Jacobi theory on the
Picard stack
Books
- Griffiths-Harris, Principles of Algebraic Geometry
- Mumford, Curves and their Jacobians
- Forster, Lectures on Riemann Surfaces
- Harris-Morrison, Moduli of curves
- Gieseker, Moduli of curves
- Koch-Vainsencher, Invitation to Quantum Cohomology
Papers
Lectures
Software
Course Notes
I truthfully do not regret the little detour
(Abel, July 1826) *