Includes bibliographical references.

Recent advances in unstable localization ; Hurwitz-Radon matrices revisited: From effective solution of the Hurwitz matrix equations to Bott periodicity ; The first order Euler characteristic ; On fibrewise homotopy theory ; The Mislin genus of a space ; Mapping class groups, characteristic classes, and Bernoulli numbers ; ^\ast (\mathrm RP^\infty \times \cdots \times \mathrm RP^\infty ) as a module over the Steenrod algebra ; Computing homotopy classes of phantom maps ; On groups generated by three involutions, two of which commute ; Types of projective resolutions for finite groups