David E. Rose, Graduate Student

Contact Info:

Office Location:	274F Physics
Email Address:

Education:

MA	Duke University	2009
Certificate of advanced studies with merit	University of Cambridge, Christ's College	2007
BS with highest honors	The College of William and Mary	2006

Specialties:

Algebra
Topology
Geometry

Research Interests:

I am currently interested in Khovanov homology and categorification. More generally, I am interested in knot theory, algebraic topology, homological algebra, category theory, and algebraic geometry. As an undergraduate I worked in the areas of matrix analysis and operator theory. Specifically, I studied properties of the Aluthge transform and the numerical range.

Areas of Interest:

Knot Theory
Algebra
Topology
Geometry
Category Theory

Curriculum Vitae

Recent Publications

1. David E. V. Rose and Ilya M. Spitkovsky, On the stabilization of the Aluthge sequence, International Journal of Information and Systems Sciences, vol. 4 no. 1 (Spring, 2008), pp. 178-189, ISSN 1708-296X
2. David E. V. Rose and Ilya M. Spitkovsky, On the numerical range behavior under the generalized Aluthge transform, Linear and Multilinear Algebra, vol. 56 no. 1&2 (January, 2008), pp. 163-177, Taylor and Francis

Selected Talks

1. On the numerical range behavior under the generalized Aluthge transform, July 15, 2006, The eighth workshop on numerical ranges and numerical radii at the Universitat Bremen