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

- 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*

- Schmitt,
*The moduli space of curves* - Zvonkine,
*Introduction to the moduli space of curves* - Pandharipande,
*A calculus for the moduli space of curves* - Fulton-Pandharipande,
*Notes on stable maps* - Janda-P-Pixton-Zvonkine,
*Double ramification cycles on moduli spaces of curves* - Janda-P-Pixton-Zvonkine,
*Double ramification cycles for target varieties* - Bae-Holmes-P-Schmitt-Schwarz,
*Pixton's formula and Abel-Jacobi theory on the Picard stack*

- ICM lecture in Rio (2018) on the
*Moduli space of curves* - Seminar in Moscow (2020, Zoom) on
*Abel-Jacobi maps and double ramification cycles*

- Classical Abel-Jacobi Theory Part I
- Moduli of curves Part II
- Elliptic curves
- Witten's conjectures

- Degree of a line bundle (by A. Cela)
- Quartic curves (by A. Cela)
- Projective bundles over Jacobians (by A. Dauser and X. Hu)