Pi - History. He is professor at Kyoto University in Japan. Shishikura became internationally recognized for two of his earliest contributions, both of which solved long-standing open problems. More recent results of Shishikura include in joint work with Kisaka the existence of a transcendental entire function with a doubly connected wandering.
He started publishing in Many of his early papers are concerned with the study of Whitehead products and their behaviour under suspension and more generally with the unstable homotopy groups of spheres. In a paper he showed the first non-existence result for the Hopf invariant 1 problem.
Mabuchi, Toshiki 1950-
This period of his work culminated in his book Composition methods in homotopy groups of spheres Here he uses as important tools the Toda bracket which he calls the toric construction and the Toda fibration, among others, to compute the first 20 nontrivial homotopy groups for each sphere. Among his most important contributions to stable homotopy theory is his work on the existence and non-existence of so-called Toda—Smith complexes. These are finite complexes which can be characterized as having a particularly simple ordinary homology as modules over the Steenrod algebra o.
He worked on the arithmetic of classical groups. He has been on the Yale University faculty since , and became emeritus in He introduced the Tamagawa numbers, which are measures for algebraic groups over algebraic number fields. These measures play an essential role in conjectures on arithmetic algebraic geometry, such as those of Spencer Bloch and Kazuya Kato.
Tamagawa's doctoral students included Doris Schattschneider and Audrey Terras. Michinori Yamashita born in Japan is a professor Japanese mathematician at the Rissho University. External links Home page at Rissho Univ. Hida received from Kyoto University a B.
Since he has been a professor at the University of California, Los Angeles. From to he was a visiting scholar at the Institute for Advanced Study. Hida was an invited speaker at the International Congress of Mathematicians Berkeley in In he was awarded the Guggenheim Fellowship. Yujiro Kawamata born is a Japanese mathematician working in algebraic geometry. Career Kawamata completed the master's course at the University of Tokyo in Kawamata is now a professor at the University of Tokyo. He won the Mathematical Society of Japan Autumn award and the Japan Academy of Sciences award for his work in algebraic geometry.
Research Kawamata was involved in the development of the minimal model program in the s. The program aims to show that every algebraic variety is birational to one of an especially simple type: either a minimal model or a Fano fiber space. The Kawamata-Viehweg vanishing theorem, strengthening the Kodaira vanishing theorem, is a method.
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Building on that, Kawamata proved the basepoint-free theorem. The cone theorem and contraction theorem, central results in the theory, are the result of a joint. He received his Ph. Matsusaka was invited to address the International Congress of Mathematicians held in Edinburgh in and was elected to the American Academy of Arts and Sciences in This led to a correspondence and eventually Weil invited Matsusaka to the University of Chicago —57 where they became life-long friends.
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After three years at Northwestern University and a year at the Institute for Advanced Study, Princeton, he went to Brandeis University in where he stayed until , helping to build the department to its cur. Early life and education Takashi Ono was born in Nishinomiya, Japan. Robert Oppenheimer to work at the Institute for Advanced Study with a fellowship for the two academic years — and then went to the University of British Columbia to work as a mathematics professor from to From to Ono was a tenured professor at the University of Pennsylvania.
From to his retirement in , he was a professor at Johns Hopkins University. In he was an invited speaker at the International Congress of Mathematicians in Moscow. The alternative spellings Itoh and Ito are also sometimes seen in the West. He graduated with a B. D in Mathematics from the University of T. He is the author and editor of several books on algebraic geometry. American Mathematical Society. Selected publications with Noboyuki Ikeda: Stochastic differential equations and diffusion processes.
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Kyoto University. Education and career Kuranishi received in his Ph. He became a lecturer there in , an associate professor in , and a full professor in He became a professor at Columbia University in the summer of He was a Guggenheim Fellow for the academic yea. Hirachi received from Osaka University his B. He was an associate professor from to and a full professor from to the present at the University of Tokyo.
He was awarded the Japan Academy Prize in for his research on D-modules in algebraic analysis. He completed his Ph. Career A native of Japan, Yui obtained her B. Her research is based in arithmetic geometry with applications to mathematical physics and notably mirror symmetry. Notably, she and Fernando Q.
Education Terao started his studies at the University of Tokyo, where he earned in his bachelor's degree and in his master's degree. For his graduate studies he went to Kyoto University, where he earned in his Ph. He was dean of the school of science of Hokkaido University , after which he became vice president of Hokkaido University He has been a professor emeritus at Hokkaido University since Research In , Terao a. Educationa and career Saito received in his promotion Ph.
Saito's research deals with the interplay among Lie algebras, reflection groups Coxeter groups , braid groups, and singularities of hypersurfaces. From the s, he did research on underlying symmetries of period integrals in complex hypersurfaces. Saito introduced higher-dimensional generalizations of elliptic integrals. These generalizations are integrals of "primitive forms", first considered in the s. He is also very active in inventing, collecting, and studying toys that uniquely reveal and explore real-world surprises of mathematics and physics.
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