William B. Johnson (mathematician)

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William Buhmann Johnson (born December 5, 1944) is an American mathematician, one of the namesakes of the Johnson–Lindenstrauss lemma. He is Distinguished Professor and A.G. & M.E. Owen Chair of Mathematics at Texas A&M University. His research specialties include the theory of Banach spaces, nonlinear functional analysis, and probability theory.[1] He was born in Palo Alto, California and raised from an early age in Dallas, Texas.

Johnson graduated from Southern Methodist University in 1966,[2] and earned a doctorate from Iowa State University in 1969 under the supervision of James A. Dyer.[3] After faculty positions at the University of Houston, and Ohio State University, he joined the Texas A&M faculty in 1984.

In 2007, Johnson was awarded the Stefan Banach Medal of the Polish Academy of Sciences.[4][5] In 2012 he became a fellow of the American Mathematical Society.[6] In 2018 he was an Invited Speaker at the International Congress of Mathematicians in Rio de Janeiro.[7] His doctoral students include Edward Odell.


  1. ^ Faculty directory listing, Texas A&M Mathematics, retrieved 2013-01-26.
  2. ^ Faculty web page, retrieved 2013-01-26.
  3. ^ William Buhmann Johnson at the Mathematics Genealogy Project
  4. ^ Stefan Banach Medal, Polish Academy of Sciences, retrieved 2013-01-26.
  5. ^ 2007 Personal News, Texas A&M Mathematics, retrieved 2013-01-26.
  6. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-26.
  7. ^ Johnson, William B. "Some 20+ year old problems about Banach spaces and operators on them" (PDF). Proceedings of the ICM – 2018 Rio de Janeiro. vol. 2. pp. 1669–1686.