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David E. Rose, Graduate Student

David E. Rose
Contact Info:
Office Location:  274F Physics
Email Address: send me a message

Education:

MADuke University2009
Certificate of advanced studies with meritUniversity of Cambridge, Christ's College2007
BS with highest honorsThe College of William and Mary2006
Specialties:

Algebra
Topology
Geometry
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

Curriculum Vitae
Recent Publications

  1. 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
  2. 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. 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 27708-0320