**Email:**clein@math.uiuc.edu,**Phone:**265-6763.

**Office:**265 Altgeld Hall.**Office hours:**By appointment

- Bowditch, B., Intersection numbers and the hyperbolicity of the curve complex, J. Reine Angew. Math. 598 (2006), 105--129.
- Masur, H. and Minsky, Y., Geometry of the complex of curves. I. Hyperbolicity, Invent. Math. 138 (1999), no. 1, 103--149.
- Masur, H. and Minsky, Y., Geometry of the complex of curves. II. Hierarchical structure, Geom. Funct. Anal. 10 (2000), no. 4, 902--974.

There are notes by Saul Schleimer on the curve complex which might be helpful that you can find here.

A nice survey-type discussion of Masur and Minsky's approach is in Minsky's paper: "A geometric approach to the complex of curves on a surface", available on his website . This also has a discussion of the fact that when ξ(S) =1, that C(S) is 3/2--hyperbolic.