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[2] often using computer verified proofs. She is currently a professor of mathematics at the University of Washington.[3]
Education and career
Billey did her undergraduate studies at the Massachusetts Institute of Technology, graduating in 1990.[3] She earned her Ph.D. in mathematics in 1994 from the University of California, San Diego, under the joint supervision of Adriano Garsia and Mark Haiman.[4] She returned to MIT as a postdoctoral researcher with Richard P. Stanley, and continued there as an assistant and associate professor until 2003, when she moved to the University of Washington.[3]
Recognition
In 2012, she became a fellow of the American Mathematical Society.[5]
Selected publications
Books
- Sara, Billey; Lakshmibai, V. (2000). Singular loci of Schubert varieties. Boston: Birkhäuser. ISBN 9780817640927. OCLC 44750779.[6]
Articles
- Billey, Sara; Haiman, Mark (1995). "Schubert polynomials for the classical groups". Journal of the American Mathematical Society. 8 (2): 443–482. doi:10.1090/s0894-0347-1995-1290232-1. ISSN 0894-0347.
- Billey, Sara; Warrington, Gregory (2003). "Maximal singular loci of Schubert varieties in 𝑆𝐿(𝑛)/𝐵". Transactions of the American Mathematical Society. 355 (10): 3915–3945. doi:10.1090/s0002-9947-03-03019-8. ISSN 0002-9947.
- Billey, Sara (1999). "Kostant polynomials and the cohomology ring for G/B". Duke Mathematical Journal. 96 (1): 205–224. doi:10.1215/S0012-7094-99-09606-0. ISSN 0012-7094. S2CID 16184223.
References
- ^ "The Presidential Early Career Award for Scientists and Engineers: Recipient Details:Sara Billey". NSF.
- ^ "Billey, Sara C." MathSciNet. Retrieved 2017-04-10.
- ^ a b c "Curriculum vitae" (PDF). September 26, 2017. Retrieved 2018-04-30.
- ^ Sara Billey at the Mathematics Genealogy Project
- ^ "List of Fellows of the American Mathematical Society". American Mathematical Society. Archived from the original on June 26, 2015. Retrieved July 31, 2015.
- ^ Review of Singular loci of Schubert varieties by Michel Brion (2001), MR1782635
External links
- "Sara Billey's Home Page".
- "AWM 2013 Essay Contest Winner writes about Sara Billey".
- Sara Billey publications indexed by Google Scholar
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