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James Ax | |
|---|---|
| Born | James Burton Ax January 10, 1937 New York City, US |
| Died | June 11, 2006 (aged 69) Los Angeles, US |
| Education | Polytechnic Institute of New York University University of California, Berkeley |
| Known for | Ax–Grothendieck theorem Ax–Kochen theorem Ax–Katz theorem Hyper-finite field p-adically closed field Pseudo-finite field Pseudo algebraically closed field |
| Children | Brian Keating |
| Awards | ICM Speaker (1970) Cole Prize (1967) Guggenheim Fellowship (1965) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Stanford University Cornell University Stony Brook University |
| Doctoral advisor | Gerhard 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.
- ^ James Ax, Deaths of AMS Members, Notices of the AMS, January 2008, p. 67
- ^ 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.
- ^ 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.
- ^ 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.