| Sara Billey | |
|---|---|
| Alma mater | Massachusetts Institute of Technology University of California, San Diego |
| Awards | Presidential Early Career Award for Scientists and Engineers |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Washington |
| Doctoral advisor | Adriano Garsia Mark Haiman |
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.
Education and career
Billey did her undergraduate studies at the Massachusetts Institute of Technology, graduating in 1990. 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. 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.
Recognition
In 2012, she became a fellow of the American Mathematical Society.
Selected publications
Books
- Sara, Billey; Lakshmibai, V. (2000). Singular loci of Schubert varieties. Boston: Birkhäuser. ISBN 9780817640927. OCLC 44750779.
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.
- ^ "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
- Massachusetts Institute of Technology School of Science alumni
- University of California, San Diego alumni
- Massachusetts Institute of Technology faculty
- University of Washington faculty
- Combinatorialists
- 20th-century American mathematicians
- 20th-century American women mathematicians
- 21st-century American mathematicians
- 21st-century American women mathematicians
- Living people
- Fellows of the American Mathematical Society
- People from Alva, Oklahoma
- Mathematicians from Oklahoma
- Recipients of the Presidential Early Career Award for Scientists and Engineers