Michio Kuga (久賀 道郎, Kuga Michio, 1928 – 13 February 1990) was a mathematician who received his Ph.D. from University of Tokyo in 1960.[1] His work helped lead to a proof of the Ramanujan conjecture which partly follows from the proof of the Weil conjectures by Deligne (1974).
Michio Kuga | |
|---|---|
| Born | 1928 |
| Died | February 13, 1990 (aged 61–62) |
| Nationality |  Japan |
| Alma mater | University of Tokyo |
| Scientific career | |
| Fields | Mathematics |
| Institutions | State University of New York at Stony Brook |
| Doctoral advisor | Shokichi Iyanaga |
| Doctoral students | Stephen S. Kudla |
In 1963–1964, he introduced Kuga fiber varieties in a book published by the University of Chicago Press. In the summer of 1965 he gave a talk on Kuga fiber varieties at the American Mathematical Society's Symposium in Pure Mathematics held at the University of Colorado Boulder.[2] In 2019 Beijing's Higher Education Press published a reprint of Kuga's 1964 book.[3]
One of his books, Galois' Dream: Group Theory and Differential Equations, is a series of lectures on group theory and differential equations for undergraduate students,[4] considering such topics as covering spaces and Fuchsian differential equations from the point of view of Galois theory, though it does not treat classical Galois theory of polynomials and fields in depth.
References
edit- Deligne, Pierre (1974), "La conjecture de Weil. I.", Publications Mathématiques de l'IHÉS, 43: 273–307, doi:10.1007/BF02684373, ISSN 1618-1913, MR 0340258, S2CID 123139343
Notes
edit- ^ Michio Kuga on the Mathematics Genealogy Project
- ^ 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
- ^ Attwell-Duval, Dylan (18 August 2019). "Review of Kuga Varieties: Fiber Varieties over a Symmetric Space Whose Fibers Are Abelian Varieties by Michio Kuga". MAA Reviews, Mathematical Association of America.
- ^ Lord, Nick (1994). "Review of Galois' Dream: Group Theory and Differential Equations by Michio Kuga". The Mathematical Gazette. 78 (482): 232–234. doi:10.2307/3618607. ISSN 0025-5572. JSTOR 3618607.
Bibliography
editKuga, Michio. Galois' Dream: Group Theory and Differential Equations. translated by Susan Addington and Motohico Mulase, 1993. Birkhäuser Boston, ISBN 978-0-8176-3688-3
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