Paul S. Aspinwall String Theory and Duality Doc.Math.J.DMV Extra Volume ICM II (1998) 229-238 Abstract 2 k, dvi.gz 18 k, dvi 42 k, ps.gz 61 k. Victor V. Batyrev Mirror Symmetry and Toric Geometry Doc.Math.J.DMV Extra Volume ICM II (1998) 239-248 Abstract 2 k, dvi.gz 18 k, dvi 40 k, ps.gz 66 k. Maurizio Cornalba Cohomology of Moduli Spaces of Stable Curves Doc.Math.J.DMV Extra Volume ICM II (1998) 249-257 Abstract 1 k, dvi.gz 21 k, dvi 48 k, ps.gz 71 k. A. J. de Jong Barsotti-Tate Groups and Crystals Doc.Math.J.DMV Extra Volume ICM II (1998) 259-265 Abstract 1 k, dvi.gz 14 k, dvi 29 k, ps.gz 55 k. Mark L. Green Higher Abel-Jacobi Maps Doc.Math.J.DMV Extra Volume ICM II (1998) 267-276 Abstract 1 k, dvi.gz 18 k, dvi 42 k, ps.gz 66 k. M. Kapranov Operads and Algebraic Geometry Doc.Math.J.DMV Extra Volume ICM II (1998) 277-286 Abstract 2 k, dvi.gz 22 k, dvi 47 k, ps.gz 77 k.