Hiroshi Umemura was a Japanese mathematician and honored professor at

Nagoya University , abbreviated to or NU, is a Japanese national research university located in Chikusa-ku, Nagoya. It was the seventh Imperial University in Japan, one of the first five Designated National University and selected as a Top Type university of T ...

. He was a prominent figure in the field of

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

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 ...

Biography

Umemura was born in Nagoya in 1944. He graduated from

in 1967. At the beginning of his career, Umemura primarily studied the subgroups of the

Cremona group In algebraic geometry, the Cremona group, introduced by , is the group of birational automorphisms of the n-dimensional projective space over a field It is denoted by Cr(\mathbb^n(k)) or Bir(\mathbb^n(k)) or Cr_n(k). The Cremona group is natura ...

. In the 1980s, while visiting the University of Strasbourg, he began studying

Painlevé equations Painlevé, a surname, may refer to: __NOTOC__ People * Jean Painlevé (1902–1989), French film director, actor, translator, animator, son Paul * Paul Painlevé (1863–1933), French mathematician and politician, twice Prime Minister of France Mat ...

, particularly Galois theory. In 1996, Umemura wrote his first of multiple papers on Galois theory, which was influential in the community surrounding Painlevé equations in Japan. Umemura died on March 8, 2019. At the time, he had been working on an article titled ''Toward Quantization of Galois Theory'' with fellow mathematicians Akira Masuoka and Katsunori Saito. The article was published posthumously in 2020.

References

1944 births 2019 deaths People from Nagoya Japanese mathematicians Nagoya University alumni {{Japan-mathematician-stub