Math @ Duke

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
 David E. V. Rose, A categorification of quantum $\mathfrak{sl}_3$ projectors and the $\mathfrak{sl}_3$ ReshetikhinTuraev 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. 178189, ISSN 1708296X
 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. 163177, Taylor and Francis
 Selected Talks
 Categorification and knot homology, April 11, 2010, The eighth annual graduate student topology and geometry conference, University of Michigan
 On BarNatanâ€™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


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

