David A. Cox

David A. Cox
David A. Cox
	David A. Cox, Oberwolfach 2007
Born	David Archibald Cox; September 23, 1948; Washington, D.C., US
Alma mater	Rice University; Princeton University
Occupation	Mathematician, professor

David Archibald Cox (born September 23, 1948 in Washington, D.C.[1]) is a retired[2] American mathematician, working in algebraic geometry.

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).[3] From 1974 to 1975, he was assistant professor at Haverford College and at Rutgers University from 1975 to 1979. In 1979, he became assistant professor and in 1988 professor at Amherst College.

He studies, among other things, étale homotopy theory, elliptic surfaces, 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.[4]

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.[5]

Writings

With John Little, Donal O'Shea: 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: Using algebraic geometry, 2nd. edition, Graduate Texts in Mathematics, vol. 185, Springer-Verlag, 2005.
With Sheldon Katz: 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
Cox, David A.; Zucker, Steven (1979), "Intersection numbers of sections of elliptic surfaces", Inventiones Mathematicae, 53 (1): 1–44, doi:10.1007/BF01403189, MR 0538682, S2CID 15130840

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