Education:
PhD., University of IL at Chicago, Mathematics, 2003
M.A., University of Texas at Austin, Mathematics, 1999
B.S./B.A., State University of New York - Buffalo, Mathematics & Statistics,1996
Teaching Interests:
Calclus, linear algebra, geometry, graph theory
Research Interests:
Knot theory, diagrammatic reasoning, and quantum computation
Publications:
Dye, H. A. Diagrammatic Reasoning: Route Planning on Maps with ACT-R, Proceedings of the 8th International Congress on Cognitive Modeling.
Presentations:
Poster: Diagrammatic Reasoning: Route Planning on Maps with ACT-R, The $8^{th} $ International Conference on Cognitive Modeling. Ann Arbor , MI. July 2007
Virtual Homotopy, AMS Special Session on Knots, 3-Manifolds, and Their Invariants. The Joint Mathematics Meeting. January, 2007. New Orleans, LA. January, 2007
Diagrammatic Reasoning, MAA Session on Research on the Teaching and Learning of Undergraduate Mathematics, The Joint Mathematics Meeting. New Orleans, LA. January, 2007
Diagrammatic Reasoning: Route Planning. Army Research Laboratory / United States Military Academy Technical Symposium, Aberdeen, MD and West Point, NY , October 2006
Are Diagrams Worth 1000 Words? MathFest, Knoxville, TN , August 2006
Modeling Diagrammatic Reasoning: Route Planning on a Grid Based Map. Army Research Laboratory / United States Military Academy Technical Symposium, Aberdeen, MD and West Point, NY , November 2005
The Witten-Reshetikhin-Turaev Invariant and Virtual Link Diagrams. Quantum Topology -- Contemporary Issues and Perspectives, Snowbird, UT, June 2005
Realizations of Virtual Link Diagrams. Knots in Washington 20, Washington , D. C., February 2005
Virtual Links and the Witten Reshetikhin-Turaev Invariant. Geometric Topology Seminar at Columbia University , September 2004
Poster: Using Surfaces to Detect Non-Trivial Virtual Knots. Reunion of the Mentoring Program for Women in Mathematics, Institute for Advanced Study, May 2003
Unitary Solutions to the Yang-Baxter Equation. Special Session on Quantum Computation and Information. The Joint Mathematics Meeting. Baltimore, MD , January 2003
Memberships:
Pi Mu Epsilon
American Mathematical Society
MAA
Awards:
Commanders Award for Public Service, May 2007
Davies Fellowship, Military Academy , January, 2005 – July 2007
VIGRE Fellowship, The University of Illinois at Chicago , Summer 2002
Departmental Fellowship, The University of Texas at Austin , Summer 1997
Outstanding Senior Finalist (Mathematics), State University of New York at Buffalo , 1996