W. Dale Brownawell

Woodrow Dale Brownawell (born April 21, 1942) is an American mathematician who has performed research in number theory and algebraic geometry. He is a Distinguished Professor emeritus at Pennsylvania State University,[1] and is particularly known for his proof of explicit degree bounds that can be used to turn Hilbert's Nullstellensatz into an effective algorithm.[2][3]

Brownawell was born in Grundy County, Missouri;[1] his father was a farmer and train inspector.[2] He earned a double baccalaureate in German and mathematics (with highest distinction) in 1964 from the University of Kansas,[1] and after studying for a year at the University of Hamburg[1] (at which he met Eva, the woman he later married)[2] he returned to the US for graduate study at Cornell University.[1] His graduate advisor, Stephen Schanuel, moved to Stony Brook University in 1969, and Brownawell followed him there for a year,[1] but earned his Ph.D. from Cornell in 1970.[1][4] That year, he joined the Penn State faculty, and he remained there until his retirement in 2013.[1]

Brownawell and Michel Waldschmidt shared the 1986 Hardy–Ramanujan Prize for their independent proofs that at least one of the two numbers e^e and e^{e^2} is a transcendental number; here e denotes Euler's number, approximately 2.718.[5] In 2004, a conference at the University of Waterloo was held in honor of Brownawell's 60th birthday.[6] In 2012, he became one of the inaugural fellows of the American Mathematical Society.[7]

References

  1. ↑ 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 Curriculum vitae, retrieved 2015-01-25.
  2. ↑ 2.0 2.1 2.2 Erem, Suzan (2005), Faces of Penn State, 2005: W. Dale Brownawell, Distinguished Professor of Mathematics, Penn State Eberly College of Science, retrieved 2015-01-25.
  3. ↑ Smale, Stephen (2005), "On problems of computational complexity", Surveys in modern mathematics, London Math. Soc. Lecture Note Ser. 321, Cambridge Univ. Press, Cambridge, pp. 255–259, doi:10.1017/CBO9780511614156.012, MR 2166931.
  4. ↑ W. Dale Brownawell at the Mathematics Genealogy Project
  5. ↑ Waldschmidt, Michel (1998), e^e, Hardy-Ramanujan Journal 21, MR 1680117.
  6. ↑ The Brownawell Conference, In celebration of the 60th birthday of W.Dale Brownawell, June 17-19, 2004, Fields Institute, retrieved 2015-01-25.
  7. ↑ List of Fellows of the American Mathematical Society, retrieved 2015-01-25.

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