Research Interests for David E. Rose
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
- Recent Publications
- 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
- 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
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