Sara Cosette Billey (born February 6, 1968 in
Alva,
Oklahoma
Oklahoma (; Choctaw language, Choctaw: ; chr, ᎣᎧᎳᎰᎹ, ''Okalahoma'' ) is a U.S. state, state in the South Central United States, South Central region of the United States, bordered by Texas on the south and west, Kansas on the nor ...
, United States) is an American mathematician working in
algebraic combinatorics
Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...
. She is known for her contributions on
Schubert polynomials, singular loci of
Schubert varieties In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, usually with singular points. Like a Grassmannian, it is a kind of moduli space, whose points correspond to certain kinds of subspaces ''V'', specified using linea ...
,
Kostant polynomials, and
Kazhdan–Lusztig polynomials often using computer verified proofs. She is currently a professor of mathematics at the
University of Washington.
[
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.[
In 2012, she became a fellow of the American Mathematical Society. She also was an ]AMS AMS or Ams may refer to:
Organizations Companies
* Alenia Marconi Systems
* American Management Systems
* AMS (Advanced Music Systems)
* ams AG, semiconductor manufacturer
* AMS Pictures
* Auxiliary Medical Services
Educational institutions
* A ...
Council member at large from 2005 to 2007.
Publications
Selected books
* [Review of ''Singular loci of Schubert varieties'' by Michel Brion (2001), ]
Selected articles
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References
External links
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{{DEFAULTSORT:Billey, Sara
1968 births
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
21st-century American mathematicians
Living people
American women mathematicians
Fellows of the American Mathematical Society
People from Alva, Oklahoma
Mathematicians from Oklahoma
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women
Recipients of the Presidential Early Career Award for Scientists and Engineers