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James Ax

Index James Ax

James Burton Ax (10 January 1937 – 11 June 2006) was a mathematician who proved several results in algebra and number theory by using model theory. [1]

34 relations: Algebra, Annals of Mathematics, Ax–Grothendieck theorem, Ax–Kochen theorem, Bulletin of the American Mathematical Society, California, Cole Prize, Cornell University, Diophantine equation, Doctor of Philosophy, Gerhard Hochschild, Harvard University, International Congress of Mathematicians, James Harris Simons, Journal of Algebra, Leopoldt's conjecture, Model theory, New York City, New York University Tandon School of Engineering, Number theory, Oswald Veblen Prize in Geometry, Proceedings of the American Mathematical Society, Quantum mechanics, Renaissance Technologies, San Diego, Schanuel's conjecture, Simon B. Kochen, Spacetime, Stanford University, Stony Brook University, Stuyvesant High School, Transactions of the American Mathematical Society, University of California, Berkeley, University of California, San Diego.

Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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Ax–Grothendieck theorem

In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck.

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Ax–Kochen theorem

The Ax–Kochen theorem, named for James Ax and Simon B. Kochen, states that for each positive integer d there is a finite set Yd of prime numbers, such that if p is any prime not in Yd then every homogeneous polynomial of degree d over the p-adic numbers in at least d2+1 variables has a nontrivial zero.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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California

California is a state in the Pacific Region of the United States.

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Cole Prize

The Frank Nelson Cole Prize, or Cole Prize for short, is one of two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to number theory.

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Cornell University

Cornell University is a private and statutory Ivy League research university located in Ithaca, New York.

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Diophantine equation

In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).

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Doctor of Philosophy

A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.

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Gerhard Hochschild

Gerhard Paul Hochschild (April 29, 1915 in Berlin – July 8, 2010 in El Cerrito, California) was a German-born American mathematician who worked on Lie groups, algebraic groups, homological algebra and algebraic number theory.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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James Harris Simons

James Harris "Jim" Simons (born April 25, 1938) is an American mathematician, billionaire hedge fund manager, and philanthropist.

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Journal of Algebra

Journal of Algebra (ISSN 0021-8693) is an international mathematical research journal in algebra.

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Leopoldt's conjecture

In algebraic number theory, Leopoldt's conjecture, introduced by, states that the p-adic regulator of a number field does not vanish.

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Model theory

In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.

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New York City

The City of New York, often called New York City (NYC) or simply New York, is the most populous city in the United States.

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New York University Tandon School of Engineering

The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Oswald Veblen Prize in Geometry

The Oswald Veblen Prize in Geometry is an award granted by the American Mathematical Society for notable research in geometry or topology.

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Proceedings of the American Mathematical Society

Proceedings of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society.

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Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

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Renaissance Technologies

Renaissance Technologies LLC is an East Setauket, New York-based American hedge fund firm founded in 1982 by James Simons, an award-winning mathematician and former Cold War code breaker, which specializes in systematic trading using quantitative models derived from mathematical and statistical analyses.

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San Diego

San Diego (Spanish for 'Saint Didacus') is a major city in California, United States.

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Schanuel's conjecture

In mathematics, specifically transcendental number theory, Schanuel's conjecture is a conjecture made by Stephen Schanuel in the 1960s concerning the transcendence degree of certain field extensions of the rational numbers.

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Simon B. Kochen

Simon Bernhard Kochen (born 14 August 1934, Antwerpen) is a Canadian mathematician, working in the fields of model theory, number theory and quantum mechanics.

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Spacetime

In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.

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Stanford University

Stanford University (officially Leland Stanford Junior University, colloquially the Farm) is a private research university in Stanford, California.

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Stony Brook University

The State University of New York at Stony Brook (also known as Stony Brook University or SUNY Stony Brook) is a public sea-grant and space-grant research university in the eastern United States.

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Stuyvesant High School

Stuyvesant High School (pronounced) commonly referred to as Stuy (pronounced) is a specialized high school in New York City, United States.

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Transactions of the American Mathematical Society

The Transactions of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society.

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University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

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University of California, San Diego

The University of California, San Diego is a public research university located in the La Jolla neighborhood of San Diego, California, in the United States.

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Redirects here:

J. Ax, J. B. Ax, James Burton Ax.

References

[1] https://en.wikipedia.org/wiki/James_Ax

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