Research Interests for David Rose

I am currently interested in homological algebra, algebraic topology, algebraic geometry, and category theory. My research as an undergraduate was in the areas of matrix analysis and operator theory. More specifically, I studied properties of the Aluthge transform and the numerical range.

Areas of Interest:

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