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Articles in this volume: Toda versus Pfaff lattice and related polynomials M. Adler and P. van Moerbeke; 1-58 The Cramer-Rao inequality for star bodies Erwin Lutwak, Deane Yang and Gaoyong Zhang; 59-81 The highest lowest zero and other applications of positivity Stephen D. Miller; 83-116 On level-zero representation of quantized affine algebras Masaki Kashiwara; 117-175 Cuspidality of symmetric powers with applications Henry H. Kim and Freydoon Shahidi; 177-197 Global asymptotics for multiple integrals with boundaries E. Delabaere and C. J. Howls; 199-264 The topological IHX relation, pure braids, and the Torelli group Sylvain Gervais and Nathan Habegger; 265-280 Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular Stefanie Petermichl and Alexander Volberg; 281-305 Irreducibility criterion for tensor products of Yangian evaluation modules A. I. Molev; 307-341 On irreducibility of tensor products of Yangian modules associated with skew Young diagrams Maxim Nazarov and Vitaly Tarasov; 343-378 Exterior algebra methods for the minimal resolution conjecture David Eisenbud, Sorin Popescu, Frank-Olaf Schreyer and Charles Walter; 379-395 Oscillatory integral operators with low-order degeneracies Allan Greenleaf and Andreas Seeger; 397-420 A Kohno-Drinfeld theorem for quantum Weyl groups Valerio Toledano Laredo; 421-451 Symplectic leaves of complex reductive Poisson-Lie groups Milen Yakimov; 453-509 Koszul duality for modules over Lie algebras Tomasz Maszczyk and Andrzej Weber; 511-520 Galois representations with conjectural connections to arithmetic cohomology Avner Ash, Darrin Doud and David Pollack; 521-579 The transcendental part of the regulator map forK1 on a mirror family of K3-surfaces Stefan J. Müller-Stach and Pedro Luis del Angel; 581-598