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词条 Alan Baker (mathematician)
释义

  1. Life

  2. Accomplishments

  3. Selected publications

  4. Honours and awards

  5. References

  6. External links

{{other people||Alan Baker (disambiguation){{!}}Alan Baker}}{{Use dmy dates|date=May 2012}}{{Use British English|date=May 2012}}{{Infobox scientist
| name = Alan Baker
| honorific_suffix = {{postnom|country=GBR|size=100|FRS}}
|image=Alan-Baker.jpg
| image_size = 250px
| caption =
| birth_date = {{birth date|1939|08|19|df=y}}
| birth_place = London, England
| death_date = {{death date and age|2018|02|04|1939|08|19|df=y}}
| death_place = Cambridge, England
| nationality = British
| field = Mathematics
| work_institutions = University of Cambridge
| alma_mater = University College London
University of Cambridge
| doctoral_advisor = Harold Davenport
| doctoral_students = John Coates
Yuval Flicker
Roger Heath-Brown
David Masser
Cameron Stewart
| thesis_title = Some Aspects of Diophantine Approximation
| thesis_year = 1964
| known_for = Number theory
Diophantine equations
Baker's theorem
| prizes = Fields Medal (1970)
Adams Prize (1972)
| footnotes =
}}

Alan Baker {{postnom|country=GBR|FRS}} (19 August 1939 – 4 February 2018[1]) was an English mathematician, known for his work on effective methods in number theory, in particular those arising from transcendental number theory.

Life

Alan Baker was born in London on 19 August 1939. He was awarded the Fields Medal in 1970, at age 31. His academic career started as a student of Harold Davenport, at University College London and later at Cambridge, where he received his PhD. He was a visiting scholar at the Institute for Advanced Study in the fall of 1970.[2]

He was a fellow of Trinity College, Cambridge.

His interests were in number theory, transcendence, logarithmic forms, effective methods, Diophantine geometry and Diophantine analysis.

In 2012 he became a fellow of the American Mathematical Society.[3] He has also been made a foreign fellow of the National Academy of Sciences, India.[4]

Accomplishments

Baker generalized the Gelfond–Schneider theorem, itself a solution to Hilbert's seventh problem.[5] Specifically, Baker showed that if are algebraic numbers (besides 0 or 1), and if are irrational algebraic numbers such that the set are linearly independent over the rational numbers, then the number is transcendental.

Selected publications

  • {{Citation | last1=Baker | first1=Alan | title=Linear forms in the logarithms of algebraic numbers. I | doi=10.1112/S0025579300003971 | mr=0220680 | year=1966 | journal=Mathematika | issn=0025-5793 | volume=13 | pages=204–216}}
  • {{Citation | last1=Baker | first1=Alan | title=Linear forms in the logarithms of algebraic numbers. II | doi=10.1112/S0025579300008068 | mr=0220680 | year=1967a | journal=Mathematika | issn=0025-5793 | volume=14 | pages=102–107}}
  • {{Citation | last1=Baker | first1=Alan | title=Linear forms in the logarithms of algebraic numbers. III | doi=10.1112/S0025579300003843 | mr=0220680 | year=1967b | journal=Mathematika | issn=0025-5793 | volume=14 | pages=220–228}}
  • {{Citation | last1=Baker | first1=Alan | title=Transcendental number theory | url=https://books.google.com/books?isbn=052139791X | publisher=Cambridge University Press | edition=2nd | series=Cambridge Mathematical Library | isbn=978-0-521-39791-9 | mr=0422171 | year=1990}}; {{cite book|title=1st edition|year=1975}}[6]
  • {{Citation | last1=Baker | first1=Alan | last2=Wüstholz | first2=G. | title=Logarithmic forms and Diophantine geometry | url=https://books.google.com/books?isbn=978-0-521-88268-2 | publisher=Cambridge University Press | series=New Mathematical Monographs | isbn=978-0-521-88268-2 | mr=2382891 | year=2007 | volume=9}}

Honours and awards

  • 1970: Fields Medal
  • 1972: Adams Prize

References

1. ^[https://www.trin.cam.ac.uk/news/tributes-paid-to-professor-alan-baker/ Trinity College website, accessed 5 February 2018]
2. ^Institute for Advanced Study: A Community of Scholars {{webarchive|url=https://web.archive.org/web/20130106144411/http://www.ias.edu/people/cos/frontpage?page=7 |date=6 January 2013 }}
3. ^List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
4. ^{{cite web|url=http://www.nasi.org.in/foreign.asp |title=National Academy of Sciences, India: Foreign Fellows|accessdate=2 June 2018}}
5. ^Biography in Encyclopædia Britannica.http://www.britannica.com/eb/article-9084909/Alan-Baker
6. ^{{cite journal|author=Stolarsky, Kenneth B.|title=Review: Transcendental number theory by Alan Baker; Lectures on transcendental numbers by Kurt Mahler; Nombres transcendants by Michel Waldschmidt|journal=Bull. Amer. Math. Soc.|year=1978|volume=84|issue=8|pages=1370–1378|url=http://www.ams.org/journals/bull/1978-84-06/S0002-9904-1978-14584-4/S0002-9904-1978-14584-4.pdf|doi=10.1090/S0002-9904-1978-14584-4}}

External links

  • {{MacTutor Biography|id=Baker_Alan|title=Alan Baker}}
  • {{MathGenealogy |id=22765 |name=Alan Baker}}
  • {{cite journal | last = Masser | first =David |date=January 2019 | title = Alan Baker 1939–2018 | journal = Notices of the American Mathematical Society | volume = 66 | issue = 1 | pages = 32–35 | url = https://www.ams.org/journals/notices/201901/rnoti-p32.pdf | format = PDF}}
{{Fields medalists}}{{Authority control}}{{DEFAULTSORT:Baker, Alan}}

14 : 1939 births|2018 deaths|20th-century English mathematicians|21st-century English mathematicians|Fields Medalists|Number theorists|Alumni of University College London|Fellows of Trinity College, Cambridge|Fellows of the American Mathematical Society|Fellows of the Royal Society|Foreign Fellows of the Indian National Science Academy|Institute for Advanced Study visiting scholars|Cambridge mathematicians|Mathematicians from London
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