Recent Progress in Homotopy Theory

Two papers on the history of topology: A marriage of manifolds and algebra: The mathematical work of Peter Landweber by H. Miller Some mathematical influences of Stewart Priddy by N. Minami Research papers: Some properties of the $K$-theory completion by M. Bendersky and R. D. Thompson Nonimmersions of real projective spaces implied by $tmf$ by R. R. Bruner, D. M. Davis, and M. Mahowald High Euler characteristics for almost extraspecial $p$-groups by M. Brunetti Unstable $p$-th order operation and $H$-spaces by Y. Hemmi The structure of 24 dimensional manifolds having normal bundles which lift to $BO[8]$ by M. Mahowald and M. Hopkins The homology of $BPO$ by P. Hu and I. Kriz $/mathcal{A}$-generators of the cohomology of the Steinberg summand $M(n)$ by M. Inoue Commutators in the homology of $H$-spaces by J. P. Lin A solution of Deligne's Hochschild cohomology conjecture by J. E. McClure and J. H. Smith Hopf algebra structure of Morava $K$-theory of the exceptional Lie groups by M. Mimura and T. Nishimoto Minami-Webb type decompositions for compact Lie groups by J. Martino and S. Priddy The method of infinite descent in stable homotopy theory I by D. C. Ravenel The homotopy groups $/pi_*(L_nT(m)/wedge V(n-2)$ by K. Shimomura The fiber of iterated Freudenthal suspension and Morava K-theory of $/Omega^kS^{2/ell+1}$ by D. Tamaki On $K$-flat and $K$-moonshine-like elements in elliptic cohomology by M. Tanabe The geometric fixed point spectrum of $({/mathbf Z}/p)^k$ Borel cohomology for $E_n$ and its completion by T. Torii A possible new approach to the motivic spectral sequence for algebraic K-theory by V. Voevodsky Rings of invariants and inseparable forms of algebras over the Steenrod algebra by C. W. Wilkerson, Jr. Chow rings of classifying spaces of extraspecial $p$ groups by N. Yagita.