Office Location: | 274F Physics |

Email Address: | |

Web Page: | ~derose |

Starting Year: |
2007 |

Advisor(s): |
Lenhard Lee Ng |

**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:***Categorification, Knot homology*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**- 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) - David E. V. Rose,
*A note on the Grothendieck group of an additive category*, arXiv:1109.2040v1 [math.CT] (2011) - 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

- David E. V. Rose,

**Selected Talks***Categorification and knot homology*, April 11, 2010, The eighth annual graduate student topology and geometry conference, University of Michigan*On Bar-Natanâ€™s "Khovanovâ€™s homology for tangles and cobordisms"*, March 09, 2010, VIGRE Topology Seminar, Rice University*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