Goro Nishida


Goro Nishida was a Japanese mathematician. He was a leading member of the Japanese school of homotopy theory, following in the tradition of Hiroshi Toda.
Nishida received his Ph.D. from Kyoto University in 1973, after spending the 1971-72 academic year at the University of Manchester in England. He then became a professor at Kyoto University. His proof in 1973 of Michael Barratt's conjecture was a major breakthrough: following Frank Adams' solution of the Hopf invariant one problem, it marked the beginning of a new global understanding of algebraic topology.
His contributions to the field were celebrated in 2003 at the NishidaFest in Kinosaki,followed by a satellite conference at the Nagoya Institute of Technology; the proceedings were published in Geometry and Topology's monograph series. In 2000 he was the leading organizer for a concentration year at the Japan–US Mathematics Institute at Johns Hopkins University.
Nishida's earliest work grew out of the study of infinite loop spaces; his first paper accounts for interactions between Steenrod operations and Kudo–Araki operations. Some of his later work concerns a circle of ideas surrounding the Segal conjecture, transfer homomorphisms, and stable splittings of classifying spaces of groups. The ideas in this series of papers have by now grown into a rich subfield of homotopy theory; it continues today in the theory of p-compact groups.