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American mathematician
David A. Cox
Born David Archibald Cox
(1948-09-23 ) September 23, 1948 (age 75) Washington, D.C., US
Alma mater
Rice University
Princeton University Occupation(s) 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
⋅
y
2
{\displaystyle 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,
Bibcode :
1979InMat..53....1C ,
doi :
10.1007/BF01403189 ,
MR
0538682 ,
S2CID
15130840
See also
References
External links
International National Academics Other