Research Interests for David E. Rose

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

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