welcome to Dana's web page
My name is Dana Ernst and I am an assistant professor in the Mathematics Department at Plymouth State University in
Plymouth, NH.
My primary research interests are in the interplay between
combinatorics and algebraic structures. More specifically, I study the
combinatorics of Coxeter groups and their associated Hecke algebras, Kazhdan--Lusztig theory, generalized Temperley--Lieb algebras, diagram algebras, and heaps of pieces.
By employing combinatorial tools such as diagram algebras and heaps of
pieces, one can gain insight into algebraic structures associated to
Coxeter groups, and, conversely, the corresponding structure theory can
often lead to surprising combinatorial results. I am also very
passionate about mathematics education. I am an avid cyclist and
rock climber and also enjoy hikes with the family and drinking copious
amounts of coffee.