James Ax
#6,108
Most Influential Person Now
American mathematician
James Ax's AcademicInfluence.com Rankings
James Axmathematics Degrees
Mathematics
#413
World Rank
#837
Historical Rank
#188
USA Rank
Measure Theory
#3890
World Rank
#4584
Historical Rank
#1113
USA Rank
Download Badge
Mathematics
James Ax's Degrees
- PhD Mathematics Princeton University
Why Is James Ax Influential?
(Suggest an Edit or Addition)According to Wikipedia, James Burton Ax 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 on Diophantine problems.
James Ax's Published Works
Published Works
- Diophantine Problems Over Local Fields I (1965) (314)
- On Schanuel's Conjectures (1971) (215)
- ZEROES OF POLYNOMIALS OVER FINITE FIELDS. (1964) (202)
- Diophantine Problems Over Local Fields: III. Decidable Fields (1966) (147)
- The Elementary Theory of Finite Fields (1968) (143)
- DIOPHANTINE PROBLEMS OVER LOCAL FIELDS II. A COMPLETE SET OF AXIOMS FOR p-ADIC NUMBER THEORY.* (1965) (112)
- Zeros of polynomials over local fields—The Galois action (1970) (98)
- Injective endomorphisms of varieties and schemes (1969) (88)
- Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups (1972) (76)
- Solving Diophantine Problems Modulo Every Prime (1967) (70)
- On the units of an algebraic number field (1965) (47)
- On the undecidability of power series fields (1965) (42)
- The elementary foundations of spacetime (1978) (40)
- Some Topics in Differential Algebraic Geometry II: On the Zeros of Theta Functions (1972) (27)
- A field of cohomological dimension 1 which is not $C_1$ (1965) (15)
- Proof of some conjectures on cohomological dimension (1965) (14)
- Extension of Quantum Mechanics to Individual Systems (1999) (13)
- Group-theoretic treatment of the axioms of quantum mechanics (1976) (9)
- Shorter Notes: On the Undecidability of Power Series Fields (1965) (5)
- Ju n 19 99 Extension of Quantum Mechanics to Individual Systems (2008) (0)
- The intersection of norm groups (1962) (0)
- Problems for Solution: E1281-E1285 (1957) (0)
This paper list is powered by the following services:
Other Resources About James Ax
What Schools Are Affiliated With James Ax?
James Ax is affiliated with the following schools: