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Alfred W. Hales

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Alfred W. Hales
Born (1938-11-30) November 30, 1938 (age 85)
NationalityAmerican
Alma materCaltech
AwardsGeorge Pólya Prize (1963), Fellow of the American Mathematical Society (2013)
Scientific career
FieldsMathematics
InstitutionsUCLA, IDA Center for Communications Research-La Jolla
Thesis On the Nonexistence of Free Complete Boolean Algebras  (1962)
Doctoral advisorRobert P. Dilworth

Alfred Washington Hales (born November 30, 1938) is an American mathematician, a professor emeritus of mathematics at the University of California, Los Angeles, and one of the namesakes of the Hales–Jewett theorem. He was born in Pasadena, California, and is the older brother of R. Stanton Hales.[1]

Professional career

As an undergraduate, Hales was a two-time Putnam Fellow for the California Institute of Technology, in 1958 and 1959.[2] Hales stayed at Caltech for his graduate studies, earning his Ph.D. in 1962 under the supervision of Robert P. Dilworth.[3] He is the former chair of the mathematics department at UCLA, and in 2010 became chair of the board of trustees of the Institute for Pure and Applied Mathematics at UCLA.[4] From 1992 to 2003, he was director of the IDA Center for Communications Research in La Jolla, California.[5]

Contributions

In 1963, Hales and Jewett published the Hales–Jewett theorem, which is a standard part of Ramsey theory now. They motivated their theorem as a form of game theory: it shows that certain high-dimensional generalizations of tic tac toe cannot have any tied positions.

Hales also contributed to Solomon W. Golomb's highly cited work on shift registers,[6] and he has been noted for his work using Ulm invariants to characterize infinite abelian groups.[7]

Awards and honors

In 1971, Hales shared the George Pólya Prize with Ronald Graham, Klaus Leeb, Bruce Lee Rothschild, and Robert I. Jewett, for their work in Ramsey theory.[8] In 2009, Hales was elected a Fellow of the AAAS,[7] and in 2013 he became a fellow of the American Mathematical Society.[9]

Selected publications

  • Hales, A. W.; Jewett, R. I. (1963), "Regularity and positional games", Transactions of the American Mathematical Society, 106 (2): 222–229, doi:10.2307/1993764, JSTOR 1993764, MR 0143712

References

  1. ^ Who's who in Frontier Science and Technology. 1984. ISBN 9780837957012.
  2. ^ The Mathematical Association of America's William Lowell Putnam Competition, retrieved 2013-01-21.
  3. ^ Alfred Washington Hales at the Mathematics Genealogy Project
  4. ^ Al Hales Chairs IPAM Board of Trustees, IPAM News & Announcements Archived 2013-01-18 at the Wayback Machine, July 15, 2010, retrieved 2013-01-21.
  5. ^ Hales, Alfred (December 2017). "Sol Golomb--my friend and mentor" (PDF). Asia Pacific Mathematics Newsletter. 7 (1): 30–35. Retrieved June 14, 2023.
  6. ^ Shift Register Sequences, Solomon W. Golomb with portions co-authored by Lloyd R. Welch, Richard M. Goldstein, and Alfred W. Hales, Aegean Park Press, 1982.
  7. ^ a b 6 UCLA professors named fellows by American Association for the Advancement of Science Archived 2010-07-01 at the Wayback Machine, Stuart Wolpert, UCLA, December 17, 2009, retrieved 2013-01-21.
  8. ^ The George Pólya Prize, MacTutor History of Mathematics archive, retrieved 2013-01-21.
  9. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-21.
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