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Julia Robinson

Julia Hall Bowman Robinson
Julia Robinson in 1975
Born December 8, 1919
St. Louis, Missouri, United States
Died July 30, 1985 (aged 65)
Oakland, California, United States
Citizenship American
Nationality United States
Fields Mathematician
Institutions University of California, Berkeley
Alma mater University of California, Berkeley
Doctoral advisor Alfred Tarski
Known for Diophantine equations
Decidability
Influenced Yuri Matiyasevich
Notable awards Noether Lecturer (1982)
MacArthur Fellow
Spouse Raphael M. Robinson

Julia Hall Bowman Robinson (December 8, 1919 – July 30, 1985) was an American mathematician best known for her work on decision problems and Hilbert's Tenth Problem.

Contents

  • Background and education 1
  • Mathematics career 2
    • Hilbert's tenth problem 2.1
    • Other decidability work 2.2
    • Other mathematical works 2.3
  • Political work 3
  • Personal life 4
  • Honors 5
  • Publications 6
  • Notes 7
  • References 8
  • External links 9

Background and education

Robinson was born in St. Louis, Missouri, the daughter of Ralph Bowers Bowman and Helen (Hall) Bowman.[1]:454 Her older sister was the mathematical popularizer and biographer Constance Reid. The family moved to Arizona and then to San Diego when the girls were a few years old. Julia attended San Diego High.[2]

She entered San Diego State University in 1936 and transferred as a senior to University of California, Berkeley, in 1939. She received her BA degree in 1940 and continued in graduate studies.[1]:454–455 She received the Ph.D. degree in 1948 under Alfred Tarski with a dissertation on "Definability and Decision Problems in Arithmetic".[2]:52

Mathematics career

In 1975 she became a full professor at Berkeley, teaching quarter-time because she still did not feel strong enough for a full-time job.[1]:472

Hilbert's tenth problem

Hilbert's tenth problem asks for an algorithm to determine whether a Diophantine equation has any solutions in integers. A series of results developed in the 1940s through 1970 by Robinson, Martin Davis, Hilary Putnam, and Yuri Matiyasevich resolved this problem in the negative; that is, they showed that no such algorithm can exist.

George Csicsery produced and directed a one-hour documentary about Robinson titled Julia Robinson and Hilbert's Tenth Problem, that premiered at the Joint Mathematics Meeting in San Diego on January 7, 2008. Notices of the American Mathematical Society printed a film review[3] and an interview with the director. [4] College Mathematics Journal also published a film review.[5]

Other decidability work

Her Ph.D. thesis was on "Definability and Decision Problems in Arithmetic". In it she showed that the theory of the rational numbers was undecidable by showing that elementary number theory could be defined in terms of the rationals, and elementary number theory was already known to be undecidable (this is Gödel's first Incompleteness Theorem).[2]:51

Other mathematical works

Robinson's work only strayed from decision problems twice.[1]:457 The first time was her first paper, published in 1948, on sequential analysis in statistics. The second was a 1951 paper in game theory where she proved that the fictitious play dynamics converges to the mixed strategy Nash equilibrium in two-player zero-sum games. This was posed as a prize problem at RAND with a $200 prize, but she did not receive the prize because she was a RAND employee at the time.[2]:59

Political work

Robinson was attracted to politics by the 1952 presidential campaign of Adlai Stevenson. (Stevenson was her husband's first cousin, but it was his ideas that attracted her and not the family connection.) In the 1950s Robinson was active in local Democratic party activities, and did less mathematics. She stuffed envelopes, rang doorbells, asked for votes, and so on. She was Alan Cranston's campaign manager in Contra Costa County when he ran for his first political office, state controller.[2]:64–65 [6] :1488

Personal life

Robinson's heart had been damaged by rheumatic fever as a child, and as an adult, she suffered poor health and shortness of breath.[2]:7,43 She was a self-reported late talker.[7] She married Berkeley professor Raphael Robinson in 1941.[1]:455 In 1961, she underwent an operation to remove the scar tissue from her mitral valve. The operation was a success and she became much more active physically and took up bicycling for exercise.[1]:470 In 1984, she was diagnosed with leukemia. She underwent treatment and went into remission for a few months, but then the disease recurred and she died in Oakland, California, on July 30, 1985.[1]:473[2]:120

Honors

Publications

  • Robinson, Julia (1996). The collected works of Julia Robinson. Collected Works 6. Providence, R.I.:  

Notes

  1. ^ a b c d e f g  
  2. ^ a b c d e f g h i Reid, Constance (1996). Julia: A life in mathematics. Washington, DC: Mathematical Association of America.  
  3. ^  
  4. ^ Casselman, Bill (May 2008). "Interview with George Csicsery" (PDF). Notices of the American Mathematical Society (Providence, RI: American Mathematical Society) 55 (5): 576–578.  
  5. ^ Murray, Margaret A. M. (September 2009). "A Film of One's Own". College Mathematics Journal (Washington, DC: Mathematical Association of America) 40 (4): 306–310.  
  6. ^ "Being Julia Robinson's Sister" (PDF). Notices of the American Mathematical Society (Providence, RI: American Mathematical Society) 43 (12): 1486–1492. December 1996.  
  7. ^ Thomas Sowell, The Einstein Syndrome: Bright Children who Talk Late, 2002
  8. ^ a b "Noether Brochure: Julia Robinson, Functional Equations in Arithmetic". Association for Women in Mathematics. Retrieved 2008-06-18. 
  9. ^ "Book of Members, 1780–2010: Chapter R" (PDF). American Academy of Arts and Sciences. Retrieved July 25, 2014. 

References

  • Davis, Martin (1970–80). "Robinson, Julia Bowman".  
  • Matijasevich, Yuri (1992). "My collaboration with Julia Robinson".  

External links

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