David A. Cox | Academic Influence

David A. Cox's AcademicInfluence.com Rankings

David A. Cox

Mathematics

#276

World Rank

#597

Historical Rank

#129

USA Rank

Measure Theory

#1290

World Rank

#1632

Historical Rank

#464

USA Rank

mathematics Degrees

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Mathematics

David A. Cox's Degrees

PhD Mathematics Princeton University

Why Is David A. Cox Influential?

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According to Wikipedia, David Archibald Cox is a retired 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 . 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.

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David A. Cox's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Ideals, Varieties, and Algorithms (1997) (3417)
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics) (2007) (2297)
Mirror symmetry and algebraic geometry (1999) (1011)
The homogeneous coordinate ring of a toric variety (2013) (957)
Using Algebraic Geometry (1998) (946)
Ideals, varieties, and algorithms - an introduction to computational algebraic geometry and commutative algebra (2. ed.) (1997) (908)
Primes of the Form x2 + ny2: Fermat, Class Field Theory, and Complex Multiplication (1989) (634)
On the Hodge structure of projective hypersurfaces in toric varieties (1993) (223)
The moving line ideal basis of planar rational curves (1998) (155)
The Arithmetic-Geometric Mean of Gauss (2004) (126)
Intersection numbers of sections of elliptic surfaces (1979) (123)
Recent developments in toric geometry (1996) (112)
On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points (2000) (102)
IMPLICITIZATION OF SURFACES IN ℙ3 IN THE PRESENCE OF BASE POINTS (2002) (89)
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts (2012) (74)
THE FUNCTOR OF A SMOOTH TORIC VARIETY (1993) (72)
The mu-basis and implicitization of a rational parametric surface (2005) (68)
Toric residues (1994) (58)
Primes of the form x² + ny² : Fermat, class field theory, andcomplex multiplication (1989) (56)
The topology of toric varieties (2011) (56)
Syzygies and the Rees algebra (2008) (53)
Equations of Parametric Curves and Surfaces via Syzygies (2008) (50)
The moving curve ideal and the Rees algebra (2008) (48)
Erratum to "The Homogeneous Coordinate Ring of a Toric Variety", along with the original paper (1992) (44)
Introduction to Fermat's Last Theorem (1994) (40)
Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics) (2005) (38)
Toric Varieties and Toric Resolutions (2000) (36)
The étale homotopy type of varieties over (1979) (36)
A Study of Singularities on Rational Curves Via Syzygies (2011) (35)
Integer Decomposition Property of Dilated Polytopes (2012) (34)
Applications of Computational Algebraic Geometry (1997) (34)
Galois Theory: Cox/Galois (2004) (34)
Torsion in elliptic curves over $k(t)$ (1980) (33)
Affine toric varieties (2011) (24)
Solving equations via algebras (2005) (23)
Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First (2011) (22)
Variational Torelli implies generic Torelli (1987) (20)
Virtual fundamental classes of zero loci (2000) (19)
On Closed Graphs I (2013) (19)
The Noether-Lefschetz Locus of Regular Elliptic Surfaces with Section and p g ≥2 (1990) (18)
Calculus in Context (1993) (16)
Multi-Rees algebras and toric dynamical systems (2018) (16)
Mordell-Weil groups of elliptic curves over $\mathbf{C}(t)$ with $p_g=0$ or $1$ (1982) (16)
Genera of congruence subgroups in Q-quaternion algebras. (1984) (16)
Primitive collections and toric varieties (2008) (15)
Principal Moduli and Class Fields (2003) (15)
On the failure of variational Torelli for regular elliptic surfaces with a section (1986) (13)
UPDATE ON TORIC GEOMETRY (2002) (12)
Geometry and Number Theory on Clovers (2005) (11)
What Is the Role of Algebra in Applied (2005) (10)
Moment maps, strict linear precision, and maximum likelihood degree one (2018) (9)
Stickelberger and the Eigenvalue Theorem (2020) (9)
Mirror Symmetry and Polar Duality of Polytopes (2015) (9)
On closed graphs, II (2014) (9)
TATE RESOLUTIONS FOR SEGRE EMBEDDINGS (2007) (9)
Homotopy theory of simplicial schemes (1979) (8)
Picard numbers of surfaces in 3-dimensional weighted projective spaces (1989) (7)
Transfinite diameter on complex algebraic varieties (2014) (7)
Strata of rational space curves (2014) (7)
Projective Algebraic Geometry (1997) (7)
The Galois theory of the lemniscate (2012) (6)
Bezoutians and Tate resolutions (2006) (6)
Quadratic reciprocity: its conjecture and application (1988) (6)
Gröbner bases: a sampler of recent developments (2007) (6)
Applications of computational algebraic geometry : American Mathematical Society short course, January 6-7, 1997, San Diego, California (1998) (6)
Algebraic tubular neighbourhoods I. (1978) (5)
Equations of Parametric Surfaces via Syzygies (2000) (5)
Representations associated with elliptic surfaces. (1984) (5)
On the Base Point Locus of Surface Parametrizations: Formulas and Consequences (2020) (4)
Computer Algebra Systems (2007) (4)
Subresultants and the Shape Lemma (2021) (4)
Polynomial structures and generic Torelli for projective hypersurfaces (1990) (4)
Problems: 10585-10591 (1997) (4)
Solving Polynomial Equations (1998) (3)
From Fermat to Gauss (2011) (3)
Robotics and Automatic Geometric Theorem Proving (1997) (3)
Mirror symmetry constructions (1999) (2)
Integer Programming, Combinatorics, and Splines (1998) (1)
Normal toric varieties (2011) (1)
Tubular neighborhoods in the etale topology (1974) (1)
The mirror theorem (1999) (1)
n-Tuples Whose Elements Divide Their Sum: 10597 (1999) (1)
Pure and Applied Mathematics (2011) (1)
The Galois Group (2011) (1)
Class Field Theory (2011) (1)
Solutions of weierstrass equations (1979) (1)
Galois Theory via Eigenvalue Methods (2007) (1)
Toric resolutions and toric singularities (2011) (1)
The Galois Correspondence (2011) (1)
The arithmetic-geometric mean of Gauss (1984) (2016) (1)
Roots of Polynomials (2011) (1)
Quantum differential equations (1999) (1)
Invariant Theory of Finite Groups (1997) (1)
Algebraic Coding Theory (1998) (1)
The Story of Ideals, Varieties and Algorithms (2016) (1)
Solvable Permutation Groups (2011) (1)
Homotopy limits and the homotopy type of functor categories (1976) (1)
Computation in Local Rings (1998) (1)
Book Review: Computational algebraic geometry (2004) (0)
Sheaf cohomology of toric varieties (2011) (0)
Additional Gröbner Basis Algorithms (2015) (0)
Polynomial and Rational Functions on a Variety (1997) (0)
Reflections on elimination theory (2020) (0)
The Dimension of a Variety (1997) (0)
The quintic threefold (1999) (0)
Appendix C: Student Projects (2012) (0)
The Rees algebra of parametric curves via liftings (2018) (0)
Spherical fibrations in algebraic geometry (1980) (0)
Algebraic Geometry (2008) (0)
Toric GIT and the secondary fan (2011) (0)
Projective toric varieties (2011) (0)
Normal and Separable Extensions (2011) (0)
Solvability by Radicals (2012) (0)
Line bundles on toric varieties (2011) (0)
13. Computing Galois Groups (2012) (0)
Appendix B: Hints to Selected Exercises (2011) (0)
Ju n 20 00 Virtual Fundamental Classes of Zero Loci (2008) (0)
Lagrange, Galois, and Kronecker (2011) (0)
Correction to: Ideals, Varieties, and Algorithms (2018) (0)
Geometry, Algebra, and Algorithms (1997) (0)
7. The Galois Correspondence (2012) (0)
15. The Lemniscate (2011) (0)
Some Concepts from Algebra (2007) (0)
Hodge theory and Yukawa couplings (1999) (0)
Divisors on toric varieties (2011) (0)
Gröbner bases: quick updates and extended snapshots (2012) (0)
10. Geometric Constructions (2012) (0)
Projective toric morphisms (2011) (0)
Quick Updates and Extended Snapshots (2012) (0)
Minicourse on Toric Varieties University of Buenos Aires July , 2001 (2001) (0)
Toric Hirzebruch-Riemann-Roch (2011) (0)
Appendix A: Abstract Algebra (2011) (0)
Book Review (2012) (0)
Homogeneous coordinates on toric varieties (2011) (0)
Geometry of the secondary fan (2011) (0)
A G ] 1 3 A ug 2 00 8 PRIMITIVE COLLECTIONS AND TORIC VARIETIES (2008) (0)
BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (2001) (0)
Polytopes, Resultants, and Equations (1998) (0)
Singularities and Strata of Parametrized Curves (2015) (0)
Elementary Problems: E3031-E3034 (1984) (0)
Computing Galois Groups (2011) (0)
The Algebra–Geometry Dictionary (1997) (0)
The history of toric varieties (2011) (0)
Gromov-Witten invariants (1999) (0)
Mini-Workshop: Surface Modeling and Syzygies (2007) (0)
The canonical divisor of a toric variety (2011) (0)

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