Sara Billey | Academic Influence

Sara Billey's AcademicInfluence.com Rankings

Sara Billey

Mathematics

#4792

World Rank

#6784

Historical Rank

#1623

USA Rank

Measure Theory

#4037

World Rank

#4760

Historical Rank

#1145

USA Rank

mathematics Degrees

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Mathematics

Sara Billey's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Sara Billey Influential?

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According to Wikipedia, Sara Cosette Billey is an American mathematician working in algebraic combinatorics. She is known for her contributions on Schubert polynomials, singular loci of Schubert varieties, Kostant polynomials, and Kazhdan–Lusztig polynomials often using computer verified proofs. She is currently a professor of mathematics at the University of Washington.

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Sara Billey'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

Some Combinatorial Properties of Schubert Polynomials (1993) (401)
Singular Loci of Schubert Varieties (2000) (328)
RC-Graphs and Schubert Polynomials (1993) (188)
Schubert polynomials for the classical groups (1995) (179)
Kostant polynomials and the cohomology ring for G/B. (1997) (161)
Smoothness of Schubert varieties via patterns in root subsystems (2002) (99)
Kazhdan-Lusztig Polynomials for 321-Hexagon-Avoiding Permutations (2000) (91)
Pattern Avoidance and Rational Smoothness of Schubert Varieties (1998) (74)
On the Singular Locus of a Schubert Variety (1984) (66)
Maximal singular loci of Schubert varieties in $SL(n)/B$ (2001) (64)
Lower bounds for Kazhdan-Lusztig polynomials from patterns (2002) (54)
Singularities of Generalized Richardson Varieties (2010) (47)
Flag arrangements and triangulations of products of simplices (2006) (45)
Permutations with given peak set (2012) (44)
A vector partition function for the multiplicities of sl_k(C) (2003) (39)
Tanglegrams: A Reduction Tool for Mathematical Phylogenetics (2015) (26)
Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry (2014) (26)
Transition equations for isotropic flag manifolds (1998) (26)
Parabolic Double Cosets in Coxeter Groups (2016) (25)
Intersections of Schubert varieties and other permutation array schemes (2005) (25)
Affine dual equivalence and $k$-Schur functions (2012) (23)
Affine Partitions and Affine Grassmannians (2008) (23)
Pop-stack sorting and its image: Permutations with overlapping runs (2019) (22)
On the enumeration of tanglegrams and tangled chains (2015) (21)
Embedded Factor Patterns for Deodhar Elements in Kazhdan-Lusztig Theory (2006) (21)
On meteors, earthworms and WIMPs (2013) (19)
The Parabolic Map (1999) (19)
Permutation patterns, Stanley symmetric functions, and generalized Specht modules (2013) (17)
Smooth and palindromic Schubert varieties in affine Grassmannians (2007) (17)
A bijective proof of Macdonald’s reduced word formula (2017) (16)
Coxeter-Knuth Graphs and a Signed Little Map for Type B Reduced Words (2014) (16)
Fingerprint databases for theorems (2013) (16)
Boolean Product Polynomials, Schur Positivity, and Chern Plethysm (2019) (15)
Coefficients and Roots of Peak Polynomials (2014) (15)
Pattern characterization of rationally smooth affine Schubert varieties of type A (2010) (14)
Geometric approaches to computing kostka numbers and littlewood-richardson coefficients (2004) (13)
The contributions of Stanley to the fabric of symmetric and quasisymmetric functions (2015) (11)
Asymptotic normality of the major index on standard tableaux (2019) (11)
Tableau posets and the fake degrees of coinvariant algebras (2018) (6)
Boolean product polynomials and Schur-positivity (2018) (5)
Kostant polynomials and the cohomology ring for G/B (1997) (4)
A Pattern Avoidance Characterization for Smoothness of Positroid Varieties (2022) (4)
On weight multiplicities of complex simple Lie algebras (2008) (4)
On the distribution of the major index on standard Young tableaux (2020) (3)
Criteria for smoothness of Positroid varieties via pattern avoidance, Johnson graphs, and spirographs (2022) (2)
QUASISYMMETRIC FUNCTIONS (2011) (2)
BIJECTIVE COMBINATORICS OF REDUCED DECOMPOSITIONS (2014) (2)
Permutation patterns, Stanley symmetric functions, and the Edelman-Greene correspondence (2013) (2)
Rational smoothness and affine Schubert varieties of type A (2011) (1)
The metric space of limit laws for $q$-hook formulas (2022) (1)
Existence and hardness of conveyor belts (2019) (1)
Generalities on G / B and G / Q (2000) (0)
Affine colored partitions (abstract only) (2008) (0)
Factoring peak polynomials (2015) (0)
The Tangent Space and Smoothness (2000) (0)
The moduli space of limit laws for $q$-hook formulas (2020) (0)
Patterns, Smoothness and Rational Smoothness (2000) (0)
Properties of Peak Set Polynomials (2013) (0)
COMPUTER ASSISTED PROOFS: COMING SOON TO A THEOREM NEAR YOU (2015) (0)
Root System Description of T(w, τ) (2000) (0)
REU PROJECT ON BRANCH POLYMERS (2009) (0)
Rank Two Results (2000) (0)
Specifics for the Classical Groups (2000) (0)
Algebraic Combinatorics Lecture Notes (2014) (0)
The 150 Year Journey of the Four Color Theorem (2009) (0)
Related Combinatorial Results (2000) (0)
Minuscule and cominuscule G/P (2000) (0)
On trees, tanglegrams, and tangled chains (2020) (0)
Rational Smoothness and Kazhdan—Lusztig Theory (2000) (0)
Recent Advances in Algebraic and Enumerative Combinatorics (2003) (0)
Nil-Hecke Ring and the Singular Locus of X(w) (2000) (0)

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