David E. Rose, Graduate Student

Please note: David has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info:

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

Curriculum Vitae

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

Selected Talks

1. Categorification and knot homology, April 11, 2010, The eighth annual graduate student topology and geometry conference, University of Michigan    
2. On Bar-Natan’s "Khovanov’s homology for tangles and cobordisms", March 09, 2010, VIGRE Topology Seminar, Rice University    
3. 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