David A. Cox
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David Archibald Cox (born September 23, 1948 in Washington, D.C.) is a retired American mathematician, working in
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
. Cox graduated from Rice University with a bachelor's degree in 1970 and his Ph.D. in 1975 at Princeton University, under the supervision of Eric Friedlander (''Tubular Neighborhoods in the Etale Topology''). From 1974 to 1975, he was assistant professor at
Haverford College Haverford College ( ) is a private liberal arts college in Haverford, Pennsylvania. It was founded as a men's college in 1833 by members of the Religious Society of Friends (Quakers), began accepting non-Quakers in 1849, and became coeducational ...
and at Rutgers University from 1975 to 1979. In 1979, he became assistant professor and in 1988 professor at
Amherst College Amherst College ( ) is a private liberal arts college in Amherst, Massachusetts. Founded in 1821 as an attempt to relocate Williams College by its then-president Zephaniah Swift Moore, Amherst is the third oldest institution of higher educatio ...
. He studies, among other things, Ă©tale homotopy theory,
elliptic surface In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper morphism with connected fibers to an algebraic curve such that almost all fibers are smooth curves of genus 1. (Over an algebraically closed ...
s, computer-based algebraic geometry (such as Gröbner basis), Torelli sets and toric varieties, and history of mathematics. He is also known for several textbooks. He is a fellow of the American Mathematical Society. From 1987 to 1988 he was a guest professor at Oklahoma State University. In 2012, he received the Lester Randolph Ford Award for ''Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First''.


Writings

* With John Little,
Donal O'Shea Donal O'Shea is a Canadian mathematician, who is also noted for his bestselling books. He served as the fifth president of New College of Florida in Sarasota, from July 1, 2012, until June 30, 2021. He was succeeded by Patricia Okker on July 1, 2 ...
: ''Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra'', 3rd. edition, Springer Verlag 2007 * David A. Cox, John Little, and
Donal O'Shea Donal O'Shea is a Canadian mathematician, who is also noted for his bestselling books. He served as the fifth president of New College of Florida in Sarasota, from July 1, 2012, until June 30, 2021. He was succeeded by Patricia Okker on July 1, 2 ...
: ''Using algebraic geometry'', 2nd. edition, Graduate Texts in Mathematics, vol. 185, Springer-Verlag, 2005. * With
Sheldon Katz Sheldon H. Katz (19 December 1956, Brooklyn) is an American mathematician, specializing in algebraic geometry and its applications to string theory. Background and Career In 1973 Katz won first prize in the United States of America Mathematical Ol ...
: ''Mirror Symmetry and Algebraic Geometry'', American Mathematical Society 1999 * ''Galois Theory'', Wiley/Interscience 2004 * With Bernd Sturmfels, Dinesh Manocha (eds.) ''Applications of computational algebraic geometry'', American Mathematical Society 1998 * Primes of the form x^2 + n \cdot y^2: Fermat, class field theory, and complex multiplication, Wiley 1989 * With John Little, Henry Schenck: ''Toric Varieties'', American Mathematical Society 2011 * Contributions to Ernst Kunz ''Residues and duality for projective algebraic varieties'', American Mathematical Society 2008 *


See also

*
Cox–Zucker machine In arithmetic geometry, the Cox–Zucker machine is an algorithm created by David A. Cox and Steven Zucker. This algorithm determines whether a given set of sections provides a basis (up to torsion) for the Mordell–Weil group of an elliptic surf ...
*
Cox ring In algebraic geometry, a Cox ring is a sort of universal homogeneous coordinate ring for a projective variety, and is (roughly speaking) a direct sum of the spaces of sections of all isomorphism classes of line bundles. Cox rings were introduced by ...


References


External links


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* {{DEFAULTSORT:Cox, David Archibald 20th-century American mathematicians 21st-century American mathematicians Fellows of the American Mathematical Society 1948 births Living people Mathematicians from Washington, D.C. Rice University alumni Princeton University alumni Amherst College faculty Algebraic geometers