S
Sara Billey
Researcher at University of Washington
Publications - 82
Citations - 2867
Sara Billey is an academic researcher from University of Washington. The author has contributed to research in topics: Schubert calculus & Schubert variety. The author has an hindex of 21, co-authored 79 publications receiving 2607 citations. Previous affiliations of Sara Billey include Massachusetts Institute of Technology.
Papers
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Journal ArticleDOI
Some Combinatorial Properties of Schubert Polynomials
TL;DR: In this article, the authors give an explicit combinatorial interpretation of the Schubert polynomial w in terms of reduced decompositions of the permutation w, which leads to many problems and conjectures, whose interrelation is investigated.
Book
Singular Loci of Schubert Varieties
Sara Billey,V. Lakshmibai +1 more
TL;DR: The authors presents topics in a systematic fashion to engage a wide readership, including generalities on G/B and G/Q; the Grassmannian and the flag variety SL_n/B' the tangent space and smoothness; rational smoothness and Kazhdan-Lusztig theory; and root system description of T (w,/tau).
Journal ArticleDOI
RC-Graphs and Schubert Polynomials
Nantel Bergeron,Sara Billey +1 more
TL;DR: A new set of diagrams that encode the Schubert polynomials are introduced using a formula of Billey, Jockusch and Stanley, Fomin and Kirillov and a new proof of Monk’s rule is given using an insertion algorithm on rc-graphs.
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Schubert polynomials for the classical groups
Sara Billey,Mark Haiman +1 more
TL;DR: Schubert polynomials for Grassmannians have been studied in the context of the Schubert calculus for graphs as mentioned in this paper, where the goal is to find the number of lines meeting four given lines in general position in 3-space.
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Kostant polynomials and the cohomology ring for $G/B$
TL;DR: The Schubert calculus for G/B can be completely determined by a certain matrix related to the Kostant polynomials introduced in section 5 of Bernstein, Gelfand, and Gelfands.