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Plymouth State University
MSC 11
17 High Street
Plymouth, NH 03264-1595
Dana Ernst
Assistant Professor of MathematicsOffice phone number: (603) 535-2857
e-mail: dcernst@plymouth.edu
homepage: http://oz.plymouth.edu/~dcernst/
Administrative contact: Dawn Boynton
Administrative contact phone number: (603) 535-2233
Profile
Dr. Dana Ernst is an assistant professor of mathematics who joined the Mathematics Department in the Fall of 2008. He teaches a wide variety of courses, but mostly teaches upper-level courses for mathematics majors. Besides teaching mathematics, Dr. Ernst enjoys doing mathematics and is actively pursuing a research program that will include undergraduates in the near future. Dr. Ernst is an avid cyclist and rock climber and also enjoys family hikes and drinking copious amounts of coffee.
Degrees and Education
- PhD in Mathematics, University of Colorado at Boulder, 2008
- MS in Mathematics, Northern Arizona University, 2000
- BS in Mathematics, George Mason University, 1997
Research Interests
Dr. Ernst's primary research interests are in the interplay between combinatorics and algebraic structures. More specifically, he studies 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.
