Sara Billey Math Homepage
Prof. SARA BILLEY
Department of Mathematics
Padelford C445
University of Washington
Box 354350
Seattle, WA 981954350
Phone: 2066163107
Fax: 2065430397
email: billey atsign math.washington.edu
Current Projects
I am a Professor of Mathematics at the University of Washington in the sometimes
sunny city of
Seattle. Here is my curriculum
vitae which "provides an overview of a person's life and
qualifications" according to wikipedia. See also my Google scholar page.
Below are some of my current projects:
 Teaching: This winter 2017 I will be teaching
Root Systems, Weyl Groups and Coxeter Groups .
 Seminar: I organize the Combinatorics Seminar at
UW with Isabella Novik and Hailung Zhang.
 Graphlopedia:
A fingerprint database of graphs.
 Community: I am the faculty mentor for the UW Student Chapter of
the
Association for Women in Mathematics (AWM). I am also
on the Policy and Advocacy committee this year for AWM.

Mathday: I speak (almost) every year at Mathday; one of the biggest
mathematical events for high school students in the country
where 1200 students come to campus for a smorgasbord of
mathematical experiences. In the past I have talked about
mathematical card tricks, sudoku, math of the web, the
GaleShapley algorithm and
computer proof techniques. This year, I gave the plenary
lecture. Video below.
 In the news: I often teach Math
381: Discrete Mathematical Modeling. In order to learn about the
modeling process, we study real world problems that affect
real people. We will seek out and solve problems related to the
community around us. The course culminates in a final modeling
project. Final projects can be inspired by some of the challenges
faced by nonprofit organizations, government agencies, small
businesses, or the university. If you have a problem that might be
suitable for this class to study, please let me know. We got some
good press from the poster sessions:
Research Overview
My research is in algebraic combinatorics. Combinatorics is the
study of counting and bijective proofs, so an algebraic
combinatorialists counts algebraic objects. In particular, I am
interested in Schubert polynomials, Schubert varieties, flag
manifolds, KazhdanLusztig polynomials, Stanley symmetric functions,
Bruhat order, Weyl group and root systems of all types etc. I am a
strong advocate of using computers to do math research, in particular
for obtaining data for conjectures and computer verified proofs.
Recently, I have been interested in problems which are not decidable by any
possible algorithm in finite time.
More Information
Recently, I lost my status as the most famous Sara in Mathematics as
measured by my pagerank in the google search on "sara math". So, I am
attempting to reverse this trend with the following text: sara math,
sara math, sara math, sara math, sara math, sara math, sara math, sara
math, sara math. Please note, I am still the most famous Billey in
Math by this measure. I hope to maintain that status for some time to
come.
UPDATE: Three weeks later, I am back to being the highest ranked
Sara in Math according to Google.