Modular Properties of the Four-Graviton Amplitude
1) The low energy expansion of string theory. Higher derivative gravity.
2) Interplay of duality and maximal supersymmetry. Poisson equations on moduli space. Exact non-perturbative coefficients.
3) Duality with eleven-dimensional supergravity compactified on two-torus. Multi-loop Feynman diagrams and modular invariance.
4) Connections with perturbative N=8 supergravity. UV divergence properties.