Welcome to Dana's Web Page!

Dana Ernst

Department of Mathematics
University of Colorado, Boulder
Campus Box 395
Boulder, CO 80309-0395

Office: MATH 340
Office Hours: M 12-2 (MATH 175), W 10-11, F 10-11
Email: Dana[dot]Ernst[at]colorado[dot]edu
Web Page: http://math.colorado.edu/~ernstd

About the picture: That's me rapping off of the summit of Steeple Peak in the Wind River Range of Wyoming (circa 2003)

“Mathematics, rightly viewed, possesses not only truth, but supreme beauty.”  -  Bertrand Russell

I am currently completing my Ph.D. in mathematics at the University of Colorado at Boulder.  I have recently accepted a position as an Assistant Professor at Plymouth State University in Plymouth, NH and will begin working there in Fall 2008.

Current Courses

Math 1300: Calculus I, Spring 2008

Courses from Previous Semesters

Math 2300: Calculus II, Fall 2007

Math 3130: Linear Algebra, Spring 2007

Math 5905: Math Teacher Training, Spring 2007

Math 1300: Calculus I, Fall 2006

Math 2300: Calculus II, Fall 2005

Math 1150: Precalculus, Summer 2005

Math 1300: Calculus I, Spring 2005

CV, Teaching Statement, Research Statement, and M.S. Thesis

CV (.pdf file)

Brief CV (.pdf file)

Ph.D. Thesis (.pdf file)  Coming soon!!!

Teaching Statement (.pdf file)

Research Statement (.pdf file)

M.S. Thesis (.pdf file)

Abstracts and Slides for Talks

A diagrammatic representation of an affine C Temperley--Lieb algebra (.pdf file), Abstract (.pdf file)
May 29, 2008; Thesis Defense, University of Colorado at Boulder

Diagram calculus for the Temperley--Lieb algebra (.pdf file), Abstract (.pdf file)
February 22, 2008; Job Talk, Plymouth State University

Diagram algebras and Kazhdan--Lusztig polynomials (.pdf file), Abstract (.pdf file)
January 17, 2008; NAU Departmental Colloquium, Northern Arizona University

Weak star reducibility in Coxeter groups, Abstract (.pdf file)
November 15, 2007; Algebraic Lie Theory Seminar, University of Colorado at Boulder

The Temperley--Lieb Algebras of Types A and B and Their Corresponding Diagram Algebras (.pdf file), Abstract (.pdf file)
October 10, 2007; Slow Pitch Colloquium, University of Colorado at Boulder

Diagram Calculus for the Temperley--Lieb Algebra (.pdf file), Abstract (.pdf file)
April 21, 2007; Graduate Student Combinatorics Conference, University of Washington

10 Things I Wish I Would Have Known Before I Started Teaching (.pdf file)
November, 2006; Graduate Teacher Program Workshop, University of Colorado at Boulder

Mathematics Links

CU Boulder Department of Mathematics

My advisor Richard M. Green

Trig Unit Circle (.pdf file)

Paul's Online Math Notes (an excellent website by Paul Dawkins at Lamar University)

Visual Calculus (An excellent website with Flash tutorials covering a variety of topics in calculus)

QuickMath

Fun Stuff

My Web Gallery (Photos and video of family and adventures in the mountains)

A few climbing photos