was a

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who received his

Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is a ...

from University of Tokyo in 1960. His work helped lead to a proof of the Ramanujan conjecture which partly follows from the proof of the Weil conjectures by . In 1963–1964, he introduced Kuga fiber varieties in a book published by the

University of Chicago Press The University of Chicago Press is the largest and one of the oldest university presses in the United States. It is operated by the University of Chicago and publishes a wide variety of academic titles, including ''The Chicago Manual of Style'', ...

. In the summer of 1965 he gave a talk on Kuga fiber varieties at the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

's Symposium in Pure Mathematics held at the

University of Colorado Boulder The University of Colorado Boulder (CU Boulder, CU, or Colorado) is a public research university in Boulder, Colorado. Founded in 1876, five months before Colorado became a state, it is the flagship university of the University of Colorado syst ...

. In 2019 Beijing's

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published a reprint of Kuga's 1964 book. One of his books, ''Galois' Dream: Group Theory and Differential Equations'', is a series of lectures on

group theory In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ...

and

differential equations In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...

for undergraduate students, considering such topics as covering spaces and

Fuchsian differential equation In mathematics, in the theory of ordinary differential equations in the complex plane \Complex, the points of \Complex are classified into ''ordinary points'', at which the equation's coefficients are analytic functions, and ''singular points'', at ...

s from the point of view of Galois theory, though it does not treat classical Galois theory of polynomials and fields in depth.

References

Notes

Bibliography

Kuga, Michio
''Galois' Dream: Group Theory and Differential Equations.''
translated by Susan Addington and Motohico Mulase, 1993. Birkhäuser Boston, 20th-century Japanese mathematicians University of Tokyo alumni Stony Brook University faculty 1990 deaths 1928 births {{Asia-mathematician-stub