John Irwin Hutchinson
John Irwin Hutchinson ( born April 12, 1867 in Bangor ( Maine), † December 1, 1935 ) was an American mathematician who dealt with Analysis.
Hutchinson studied at Bates College with a bachelor 's degree in 1889 from Clark University ( 1890 to 1892 ) with Oskar Bolza, whom he succeeded in 1892 to the University of Chicago, where he received his doctorate in 1896 at Bolza ( On the Reduction of Hyperelliptic Functions ( p = 2) to Elliptic Functions by a transformation of the Second Degree). He was the first graduate student in mathematics at the University of Chicago. In 1894 he was Instructor, Assistant Professor in 1903 and in 1910 professor of mathematics at Cornell University.
In the obituary at Cornell University in 1935, two results of Hutchinson were highlighted: the implementation of an isometric circle in the theory of automorphic functions ( and its use for the determination of the fundamental domain ) and the discovery of infinite discontinuous group of birational transformations of Kummer- surface (by applying the theory of theta functions on Kummer surfaces ). In 1911 he suffered a nervous breakdown, what his mathematical productivity interrupted for a while. Then he dealt with analytic number theory and the theory of the Riemann zeta function. His results in this field are presented in the monograph by Edward Charles Titchmarsh about the zeta function.
He was Assistant Editor of the Transactions of the American Mathematical Society from its foundation in 1900 until 1915. In 1904, he stopped at the Congress of Mathematicians at the World's Fair in St. Louis one of the main lectures.
He had wide-span interests besides mathematics, including plant breeding and piano. In 1896 he married Genevra Barrett.
Writings
- With Virgil Snyder: Differential and Integral Calculus, New York: American Book Company, 1902
- With Virgil Snyder: Elementary Textbook on the Calculus, New York: American Book Company, 1912
- On the roots of the Riemann zeta function, Trans Amer. Math Soc., Volume 27, 1925, pp. 49-60, online
- A method for constructing the fundamental region of a discontinuous group of linear transformations, Trans AMS, 8, 1907, 261-269, online
- On some birational transformations of the Kummer surface into Itself, Bulletin AMS, 7, 1901, pp. 211-217, online