William Fulton | Academic Influence

William Fulton 's AcademicInfluence.com Rankings

William Fulton

Mathematics

#320

World Rank

#681

Historical Rank

#153

USA Rank

Measure Theory

#530

World Rank

#745

Historical Rank

#217

USA Rank

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Mathematics

William Fulton 's Degrees

PhD Mathematics Princeton University

Why Is William Fulton Influential?

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According to Wikipedia, William Edgar Fulton is an American mathematician, specializing in algebraic geometry. Education and career He received his undergraduate degree from Brown University in 1961 and his doctorate from Princeton University in 1966. His Ph.D. thesis, written under the supervision of Gerard Washnitzer, was on The fundamental group of an algebraic curve.

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William Fulton '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

Representation Theory: A First Course (1991) (3260)
Young Tableaux: With Applications to Representation Theory and Geometry (1996) (1096)
Introduction to Toric Varieties. (1993) (1093)
Introduction to Toric Varieties. (AM-131) (1993) (928)
Notes on stable maps and quantum cohomology (1996) (763)
A compactification of configuration spaces (1994) (537)
Algebraic Curves: An Introduction to Algebraic Geometry (1969) (495)
Lie Algebras and Lie Groups (2004) (484)
Eigenvalues, invariant factors, highest weights, and Schubert calculus (1999) (472)
Flags, Schubert polynomials, degeneracy loci, and determinantal formulas (1992) (294)
Riemann-roch for singular varieties (1975) (285)
Hurwitz Schemes and Irreducibility of Moduli of Algebraic Curves (1969) (273)
Riemann-Roch Algebra (1985) (267)
Algebraic curves (1969) (244)
Intersection theory, Second Edition (1998) (242)
Schubert varieties and degeneracy loci (1998) (237)
Connectivity and its applications in algebraic geometry (1981) (236)
Intersection theory on toric varieties (1994) (234)
Categorical Framework for the Study of Singular Spaces (1981) (234)
On the connectedness of degeneracy loci and special divisors (1981) (195)
Introduction to Intersection Theory in Algebraic Geometry (1984) (173)
Algebraic Topology: A First Course (1995) (157)
On the quantum product of Schubert classes (2001) (144)
A connectedness theorem for projective varieties, with applications to intersections and singularities of mappings (1979) (143)
Positive polynomials for ample vector bundles (1983) (125)
Quantum Multiplication of Schur Polynomials (1997) (120)
Intersection Theory on Spherical Varieties (1994) (115)
Riemann-Roch and topologicalK-theory for singular varieties (1979) (108)
Rational equivalence on singular varieties (1975) (93)
On the Fundamental Group of the Complement of a Node Curve (1980) (91)
Eigenvalues of sums of hermitian matrices (1998) (89)
A Pieri formula in the Grothendieck ring of a flag bundle (1994) (80)
Eigenvalues of sums of Hermitian matrices [After A. Klyachko] (1998) (75)
Lefschetz-riemann-roch for singular varieties (1979) (73)
Eigenvalues, singular values, and Littlewood-Richardson coefficients (2003) (71)
Chern class formulas for quiver varieties (1998) (67)
The Van Kampen Theorem (1995) (65)
Determinantal formulas for orthogonal and symplectic degeneracy loci (1996) (62)
Canonical classes on singular varieties (1980) (51)
Eigenvalues of majorized Hermitian matrices and Littlewood–Richardson coefficients (2000) (48)
Excess linear series on an algebraic curve (1984) (39)
Intersecting Cycles on an Algebraic Variety (1977) (37)
A note on weakly complete algebras (1969) (36)
Young Tableaux: On the topology of algebraic varieties (1996) (30)
Characteristic classes of direct image bundles for covering maps (1987) (29)
Positivity and Excess Intersection (1982) (28)
Degeneracy Loci, Pfaffians, and Vexillary Signed Permutations in Types B, C, and D (2012) (27)
Chern class formulas for classical-type degeneracy loci (2015) (27)
Rankings of derivatives for elimination algorithms and formal solvability of analytic partial differential equations (1998) (27)
Riemann Surfaces and Algebraic Curves (1995) (25)
Defining algebraic intersections (1978) (24)
Ample vector bundles, Chern classes, and numerical criteria (1976) (24)
On nodal curves (1983) (23)
Intersection rings of spaces of triangles (1989) (22)
About the enumeration of contacts (1983) (21)
On the Quantum Cohomology of Homogeneous Varieties (2003) (19)
Riemann-Roch for general algebraic varieties (1983) (19)
Some intrinsic and extrinsic characterizations of the projective space (1985) (18)
On the irreducibility of the moduli space of curves (1982) (18)
Universal Schubert polynomials (1997) (17)
Residual Intersections and the Double Point Formula (1977) (14)
Adjoints and Max Noether’s Fundamentalsatz (2002) (13)
A fixed point formula for varieties over finite fields. (1978) (10)
A note on residual intersections and the double point formula (1978) (10)
The Picard group of ℳ1,1 (2010) (9)
Bivariant Intersection Theory (1984) (9)
Vexillary signed permutations revisited (2018) (9)
The Winding Number (1995) (8)
TOOLS AND PATTERNS OF GROWTH MANAGEMENT BALLOT MEASURES IN CALIFORNIA (2002) (8)
A Hirzebruch-Riemann-Roch formula for analytic spaces and non-projective algebraic varieties (1977) (7)
On Comparing Values of Vanderplank'sr (1979) (7)
The Picard group of $M_{1,1}$ (2007) (6)
Fundamental group of an algebraic curve (1966) (5)
A NOTE ON THE ARITHMETIC GENUS (1979) (5)
Algebraic curves - an introduction to algebraic geometry (reprint vrom 1969) (1989) (4)
Young Tableaux: Representation theory (1996) (3)
Local Complete Intersections (1985) (2)
Introduction to degeneracy loci and schubert polynomials (1998) (2)
POSITIVE POLYNOMIALS FOR FILTERED AMPLE VECTOR BUNDLES (1995) (2)
The classes of Brill-Noether loci in Prym varieties (1998) (2)
Young Tableaux: The Robinson–Schensted–Knuth correspondence (1996) (2)
Schubert Polynomials in Types A and C (2021) (2)
Identities for Schur-type determinants and pfaffians (2021) (1)
Young Tableaux: Representations of the symmetric group (1996) (1)
The K-Functor in Algebraic Geometry (1985) (1)
De Rham Cohomology and the Jordan Curve Theorem (1995) (1)
Orthogonal Lie Algebras (2004) (1)
Indices of Vector Fields (1995) (1)
The Fundamental Group and Covering Spaces (1995) (1)
EIGENVALUES, SINGULAR VALUES, AND (2016) (1)
Recent Progress in Intersection Theory (2000) (1)
Representations of Finite Groups (2004) (1)
Representations of sl 2 ℂ (2004) (1)
Chern Classes and Segre Classes (1984) (0)
Index of Notation (1993) (0)
λ-Rings and Chern Classes (1985) (0)
Multiplicity and Normal Cones (1984) (0)
Symmetric polynomials useful in geometry (1998) (0)
Young Tableaux: Combinatorial variations (1996) (0)
Applications and open problems (1998) (0)
The Fundamental Group (1995) (0)
Representations of$${\mathfrak{U}_d}$$and$$G{L_2}\left( {{\mathbb{F}_q}} \right)$$ (2004) (0)
Young Tableaux: Answers and references (1996) (0)
Spin Representations of $$\mathfrak{s}{\mathfrak{d}_m}\mathbb{C}$$ (2004) (0)
The Euler characteristic of degeneracy loci (1998) (0)
The General Setup: Analyzing the Structure and Representations of an Arbitrary Semisimple Lie Algebra (2004) (0)
TEN : MORE ON FLAG VARIETIES (2007) (0)
Lie Algebras in Dimensions One, Two, and Three (2004) (0)
Young Tableaux: Increasing sequences; proofs of the claims (1996) (0)
Young Tableaux: Representations of the general linear group (1996) (0)
Chapter 5. Intersection theory (1993) (0)
sl 4 ℂ and sl n ℂ (2004) (0)
Vector Bundles and Chern Classes (1998) (0)
Young Tableaux: Symmetric polynomials (1996) (0)
GENERALIZATIONS (2021) (0)
Chapter 2. Singularities and compactness (1993) (0)
Representations of sl 3 ℂ, Part I (2004) (0)
The Riemann—Roch Theorem (1995) (0)
Examples; Induced Representations; Group Algebras; Real Representations (2004) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE SIX: GRASSMANNIANS (2007) (0)
Chapter 1. Definitions and examples (1993) (0)
Weyl Character Formula (2004) (0)
Gysin Maps and Intersection Rings (1984) (0)
Riemann-Roch for Non-singular Varieties (1984) (0)
Degeneracy Loci and Grassmannians (1998) (0)
Toward Higher Dimensions (1995) (0)
Calculus of tableaux (1996) (0)
The Topology of Surfaces (1995) (0)
Modern formulation; Grassmannians, flag varieties, schubert varieties (1998) (0)
Excess and Residual Intersections (1998) (0)
Young Tableaux: Words; the plactic monoid (1996) (0)
Intersections of Hypersurfaces (1984) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE EIGHT: EQUIVARIANT COHOMOLOGY OF GRASSMANNIANS II (2007) (0)
g2 and Other Exceptional Lie Algebras (2004) (0)
Young Tableaux: Geometry (1996) (0)
Algebraic, Homological, and Numerical Equivalence (1984) (0)
Young Tableaux: Schubert varieties and polynomials (1996) (0)
978-0-521-51918-2-Random Walk : A Modern Introduction (2010) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE FIFTEEN: CHEVALLEY’S FORMULA, LINE BUNDLES, DUALITY (2008) (0)
Cones and Segre Classes (1998) (0)
Algebraic geometry : proceedings of the US-USSR symposium held in Chicago, June 20-July 14, 1989 (1991) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE NINE : FLAG VARIETIES (2007) (0)
Riemann-Roch Formalism (1985) (0)
Real Lie Algebras and Lie Groups (2004) (0)
Additive Combinatorics (2006) (0)
An Intersection Formula. Variations and Generalizations (1985) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE ONE: PREVIEW (2007) (0)
Young Tableaux: Preface (1996) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE SEVEN : EQUIVARIANT COHOMOLOGY OF GRASSMANNIANS (2007) (0)
Representations ofsl 3 ℂ, Part II: Mainly Lots of Examples (2004) (0)
EIGENVALUES, SINGULAR VALUES, AND LITTLEWOOD-RICHARDSON COEFFICIENTS By SERGEY FOMIN, WILLIAM FULTON, CHI-KWONG LI, and YIU-TUNG POON (2004) (0)
Chapter 3. Orbits, topology, and line bundles (1993) (0)
Grothendieck Filtration and Graded K (1985) (0)
Enumerative geometry (with notes by Alastair Craw) (2006) (0)
Weyl’s Construction (2004) (0)
Intersections on Non-singular Varieties (1984) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE ELEVEN : POSITIVITY (2007) (0)
Symplectic Lie Algebras (2004) (0)
Representations of$${\mathfrak{S}_{_d}}$$: Young Diagrams and Frobenius’s Character Formula (2004) (0)
Deformation to the Normal Cone (1998) (0)
Chapter 4. Moment maps and the tangent bundle (1993) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE FIVE: PROJECTIVE SPACE; LOCALIZATION II (2007) (0)
Initial Classification of Lie Algebras (2004) (0)
Cohomology on Surfaces (1995) (0)
Holes and Integrals (1995) (0)
Applications of Winding Numbers (1995) (0)
Polynomials supported on degeneracy loci (1998) (0)
Divisors and Rational Equivalence (1984) (0)
Flag bundles and determinantal formulas for the other classical groups (1998) (0)
sp 6 ℂ and sp 2n ℂ (2004) (0)
Young Tableaux: Bumping and sliding (1996) (0)
Families of Algebraic Cycles (1984) (0)
Math 629 : Topics in Algebraic Geometry – Algebraic Stacks – Spring 1999 (2003) (0)
so 6 ℂ, so 7 ℂ and so m ℂ (2004) (0)
and polynomial formulas for other classical groups (1998) (0)
Young Tableaux: Bibliography (1996) (0)
Complex Lie Groups; Characters (2004) (0)
EQUIVARIANT COHOMOLOGY IN ALGEBRAIC GEOMETRY LECTURE FOUR: LOCALIZATION 1 (2007) (0)
Vector Fields on Surfaces (1995) (0)
More Character Formulas (2004) (0)
Young Tableaux: The Littlewood–Richardson rule (1996) (0)
The Classification of Complex Simple Lie Algebras (2004) (0)
Angles and Deformations (1995) (0)

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