James Ax

James Ax
Born
James Burton Ax

(1937-01-10)January 10, 1937
DiedJune 11, 2006(2006-06-11) (aged 69)
EducationPolytechnic Institute of New York University
University of California, Berkeley
Known forAx–Grothendieck theorem
Ax–Kochen theorem
Ax–Katz theorem
Hyper-finite field
p-adically closed field
Pseudo-finite field
Pseudo algebraically closed field
ChildrenBrian Keating
AwardsICM Speaker (1970)
Cole Prize (1967)
Guggenheim Fellowship (1965)
Scientific career
FieldsMathematics
InstitutionsStanford University
Cornell University
Stony Brook University
Doctoral advisorGerhard Hochschild

James Burton Ax (10 January 1937 – 11 June 2006)[1] was an American mathematician who made groundbreaking contributions in algebra and number theory using model theory. He shared, with Simon B. Kochen, the seventh Frank Nelson Cole Prize in Number Theory, which was awarded for a series of three joint papers[2][3][4] on Diophantine problems.

  1. ^ James Ax, Deaths of AMS Members, Notices of the AMS, January 2008, p. 67
  2. ^ Ax, James B.; Kochen, Simon B. (1965). "Diophantine problems over local fields. I". American Journal of Mathematics. 87 (3): 605–630. doi:10.2307/2373065. JSTOR 2373065.
  3. ^ Ax, James B.; Kochen, Simon B. (1965). "Diophantine problems over local fields. II". American Journal of Mathematics. 87 (3): 631–648. doi:10.2307/2373066. JSTOR 2373066.
  4. ^ Ax, James B.; Kochen, Simon B. (1966). "Diophantine problems over local fields. III". Annals of Mathematics. Second Series. 83 (3): 437–456. doi:10.2307/1970476. JSTOR 1970476.