Resume

• 2003

  Doctor of Philosophy (PhD)

  Mathematics

  University of Colorado at Boulder

• 1997

  Master of Science (MS)

  Mathematics

  Northern Arizona University

• 1993

  Bachelor of Science (BS)

  Mathematics

  George Mason University

• Applied Mathematics

  Combinatorial Optimization

  Mathematics Education

  Linear Algebra

  LaTeX

  Curriculum Development

  Classroom

  Teaching

  Mathematica

  Theory

  Mathematical Modeling

  Calculus

  University Teaching

  Higher Education

  On the number of commutation classes of the longest element in the symmetric group

  Using the standard Coxeter presentation for the symmetric group Sn

  two reduced expressions for the same group element are said to be commutation equivalent if we can obtain one expression from the other by applying a finite sequence of commutations. The resulting equivalence classes of reduced expressions are called commutation classes. How many commutation classes are there for the longest element in Sn?

  On the number of commutation classes of the longest element in the symmetric group

  Nathan Diefenderfer

  Alyssa Whittemore

  Michael Hastings

  Brihana Preston

  Hannah Prawzinsky

  Jeff Rushall

  Ernst

  Dana

  Plymouth State University

  Northern Arizona University

  Plymouth State University

  Assistant Professor

  Northern Arizona University

  Northern Arizona University

  Flagstaff

  Arizona Area

  Associate Professor