Walter Baily

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Walter Lewis Baily Junior (born July 5, 1930 in Waynesburg , Pennsylvania , † January 15, 2013 in Northbrook , Illinois ) was an American mathematician .

Baily won the Putnam competition in 1952 . He studied at the Massachusetts Institute of Technology (MIT) with a bachelor's degree in 1952 and at Princeton University with a master's degree in 1953 and a doctorate in 1955 under Kunihiko Kodaira ( On the Quotient of a Complex Analytic Manifold by a Discontinuous Group of Complex Analytic Self-Homomorphisms ). He then was an instructor at Princeton and MIT. 1957/58 worked as a mathematician at Bell Laboratories . From 1957 he was assistant professor and from 1963 professor at the University of Chicago . In 2005 he retired.

He deals with algebraic groups, modular forms and number theoretic applications of automorphic forms. The Baily-Borel compactification of the quotient space of a Hermitian symmetric space with respect to an arithmetic group (i.e. a linear algebraic group over the rational numbers) is named after him and Armand Borel . In doing so, they built on the work of Ichirō Satake .

He is a member of the American Mathematical Society and the Mathematical Society of Japan . He visited Japan frequently (in the late 1950s and early 1960s as a guest of Shokichi Iyanaga ), spoke fluent Japanese and married Yaeko Iseki, a Japanese woman, in Tokyo in 1963, with whom he had a son. He also had an apartment in Tokyo for many years, where he spent the summer. He also visited Moscow and St. Petersburg frequently and spoke Russian fluently.

In 1958 he was a Sloan Fellow . In 1962 he was invited speaker at the International Congress of Mathematicians in Stockholm ( On the moduli of abelian varieties with multiplications from an order in a totally real number field ).

His PhD students include Paul Monsky and Daniel Bump .

Fonts

  • with Borel On the compactification of arithmetically defined quotients of bounded symmetric domains , Bull. Amer. Math. Soc., Vol. 70, 1964, pp. 588-593
  • with Borel Compactification of arithmetic quotients of bounded symmetric domains , Annals of Mathematics, Volume 84, 1966, pp. 442-528
  • Baily On Satake's compactification of , Amer. J. Math., 80 (1958) 348-364
  • On the Hilbert – Siegel modular space , Amer. J. Math., 81: 846-874 (1959)
  • On the orbit spaces of arithmetic groups , in: Arithmetical Algebraic Geometry (Proc. Conf. Purdue Univ., 1963), Harper and Row (1965), 4-10
  • On compactifications of orbit spaces of arithmetic discontinuous groups acting on bounded symmetric domains , in: Algebraic Groups and Discontinuous Subgroups, Proc. Symp. Pure Math., 9, Amer. Math. Soc. (1966): 281-295

Web links

Individual evidence

  1. ↑ Life data according to the American Men and Women of Science , Thomson Gale 2004
  2. ^ Obituary at the University of Chicago
  3. ^ Mathematics Genealogy Project
  4. ^ Baily-Borel Compactification, Encyclopedia of Mathematics
personal data
SURNAME Baily, Walter
ALTERNATIVE NAMES Baily, Walter Lewis Jr. (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 5th July 1930
PLACE OF BIRTH Waynesburg , Pennsylvania
DATE OF DEATH January 15, 2013
Place of death Northbrook , Illinois