Research Interests for David E. Rose

I am currently interested in categorification and knot homology, specifically Khovanov homology and its generalizations. More broadly, I am interested in quantum and low dimensional topology, knot theory, category theory, homological algebra, algebraic geometry, and representation theory.

Areas of Interest:

Quantum topology
Knot theory
Representation Theory
Category theory

Recent Publications

1. David E. V. Rose, A categorification of quantum $\mathfrak{sl}_3$ projectors and the $\mathfrak{sl}_3$ Reshetikhin-Turaev invariant of tangles, arXiv:1109.1745v1 [math.GT] (2011)
2. David E. V. Rose, A note on the Grothendieck group of an additive category, arXiv:1109.2040v1 [math.CT] (2011)
3. 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
4. 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