| 1 |
Introduction to Moduli Spaces |
| 2 |
Introduction to Grassmannians |
| 3 |
Enumerative Geometry using Grassmannians, Pieri and Giambelli |
| 4 |
Littlewood - Richardson Rules and Mondrian Tableaux |
| 5 |
Introduction to Hilbert Schemes |
| 6 |
The Construction of Hilbert Schemes and First Examples |
| 7 |
Enumerative Geometry using Hilbert Schemes: Conics in Projective Space |
| 8 |
Local Properties of Hilbert Schemes: Mumford's Example |
| 9 |
An Introduction to G.I.T. |
| 10 |
The Hilbert-Mumford Criterion and Examples of G.I.T. Quotients |
| 11 |
The Construction of the Moduli Space of Curves I |
| 12 |
The Construction of the Moduli Space of Curves II |
| 13 |
The Cohomology of the Moduli Space of Curves: Harer's Theorems |
| 14 |
The Euler Characteristic of the Moduli Space |
| 15 |
Keel's Thesis |
| 16 |
The Second Cohomology of the Moduli Space |
| 17 |
The Picard Group of the Moduli Functor |
| 18 |
Divisors on the Moduli Space |
| 19 |
Brill-Noether Theory and Divisors of Small Slope |
| 20 |
The Moduli Space of Curves is of General Type when g > 23 |
| 21 |
An Introduction to the Kontsevich Moduli Space |
| 22 |
Enumerative Geometry and Gromov-Witten Invariants |
| 23 |
The Picard Group of the Kontsevich Moduli Space |
| 24 |
Vakil's Algorithm for Counting Rational Curves in Projective Space |
| 25 |
The Ample and Effective Cones of the Kontsevich Moduli Space |
