Michio Kuga

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Michio Kuga ( Japanese 久 賀 道 郎 , Kuga Michio ; * 1928 ; † February 13, 1990 ) was a Japanese mathematician who studied algebraic geometry .

Kuga received his doctorate in 1960 with Shokichi Iyanaga at the University of Tokyo . He was a professor at the State University of New York at Stony Brook .

He dealt among other things with the Ramanunjan-Petersson conjecture, which follow from the proof of the Weil conjectures (finally proven in 1974 by Pierre Deligne ), as Kuga with Gorō Shimura , Mikio Satō , Yasutaka Ihara and Deligne previously showed.

In 1966 he introduced Kuga fiber rooms named after him.

In 1967 he published a book in Japan on Galois theory of differential equations (Fuchs' differential equations and their monodromic group), resulting from lectures at the University of Tokyo. It was unusual at the time because of Kuga's use of cartoons, but it had success with students and was published in English translation in 1993.

His PhD students include Allan Adler and Stephen Kudla .

Fonts

  • Galois' Dream: Group theory and differential equations . Birkhäuser, 1993

Individual evidence

  1. ↑ According to the information provided by the translator Susan Addington in Kuga's book on Galois theory of differential equations
  2. ^ Mathematics Genealogy Project
  3. ↑ Kuga Fiber varieties over a symmetric space whose fibers are abelian varieties , Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colorado, 1965), American Mathematical Society, 1966, pp. 338-346
  4. ^ Foreword by translator Susan Addington
personal data
SURNAME Kuga, Michio
ALTERNATIVE NAMES 久 賀 道 郎 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH 1928
DATE OF DEATH February 13, 1990