Author Description

ContentsThe geometry of classical particles (by M. Atiyah)Singularities in the work of Friedrich Hirzebruch (by E. Brieskorn)The moduli space of abelian varieties and the singularities of the theta divisor (by C. Gilberto & G. Van der Geer)Holomorphic spheres in loop groups and Bott periodicity (by R.L. Cohen, E. Lupercio & G.B. Segal)Moment map and diffeomorphisms (by S.K. Donaldson)Dirac charge quantization and generalized differential cohomology (by D.S. Freed)The holomorphic kernel of the Rankin-Selberg convolution (by D. Goldfeld & S. Zhang)Equivariant de Rham theory and graphs (by V. Guillemin & C. Zara)Morse theory and Stokes' theorem (by F.R. Harvey & H.B. Lawson, Jr)The Atiyah-Bott-Singer fixed point theorem and number theory (by F. Hirzebruch)The moduli space of complex Lagrangian submanifolds (by N.J. Hitchin)Which Singer is that? (by R.V. Kadison)Curvature and function theory on Riemannian manifolds (by P. Li)Mirror Principle. III (by B.H. Lian, K. Liu & S.-T. Yau)Mirror Principle. IV (by B.H. Lian, K. Liu & S.-T. Yau)Three constructions of Frobenius manifolds: A comparative study (by Yu.I. Manin)On Ricci-flat twistor theory (by R. Penrose)On the geometry of nilpotent orbits (by W. Schmid & K. Vilonen)Seiberg-Witten invariants, self-dual harmonic 2-forms and Hofer-Wysocki-Zehnder formalism (by C.H. Taubes)Unifying themes in topological field theories (by C. Vafa)Noncommutative Yang-Mills theory and string theory (by E. Witten)