Math @ Duke

David R Morrison, James B. Duke Professor of Mathematics and Physics
Please note: David has left the Mathematics department at Duke University; some info here might not be up to date.  Contact Info:
 Education:
Ph.D.  Harvard University  1980 
A.M.  Harvard University  1977 
A.B.  Princeton University  1976 
 Research Interests: Algebraic Geometry and Mathematical Physics
Dr. Morrison studies complex algebraic geometry and
related topics. His current primary research interests
center around issues in
algebraic geometry which have recently arisen in
mathematical physics.
Physicists studying superstring theory (a promising
approach to the construction of grand unified field
theories) find that the ``strings'' of
the theory must propagate in a 10dimensional
spacetime. Yet since we only observe four spacetime
dimensions in the real world, the
other six dimensions must be playing a different rĂ´le. It
turns out that the ``extra'' six dimensions form a type of
complex algebraic variety
called a CalabiYau threefold. These varieties had
been studied by algebraic geometers (including Dr.
Morrison) long before the
connection with physics was discovered. Dr. Morrison
has spent the last dozen years working in
collaboration with physicists to further
develop the physical theories based on these algebraic
varieties. He has also devoted a substantial effort to
finding mathematical
explanations for some of the discoveries about these
varieties made by physicists, particularly the one known
as ``mirror symmetry.''
 Current Ph.D. Students
(Former Students)
 Postdocs Mentored
 Adam McInroy (September 1, 2004  August 31, 2005)
 Robert Duivenvoorden (August 1, 2004  July 31, 2006)
 K. Narayan (August 1, 2002  July 31, 2004)
 Christian Hasse (September 1, 2001  June 30, 2005)
 Ilia Zharkov (September 1, 2001  June 30, 2003)
 Eric Sharpe (August 1, 1998  July 31, 2001)
 Recent Publications
(More Publications)
 D. Green, A. Lawrence, J. McGreevy, D. R. Morrison, and E. Silverstein, Dimensional duality
(Submitted, 2007) [arXiv:0705.0550 [hepth]]
 M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde, and M. Wijnholt, Dbranes at singularities, compactification, and hypercharge,
J. High Energy Phys. 01 (2007) 107
(2007) [hepth/0610007]
 C. Curto and D. R. Morrison, Threefold flops via matrix factorization
(Preprint, November, 2006) [math.AG/0611014]
 D. S. Freed, D. R. Morrison, and I. Singer, eds., Quantum Field Theory, Supersymmetry, and Enumerative Geometry, IAS/Park City Mathematics Series, vol. 11
(2006), American Mathematical Society, Providence
 D.R. Morrison and K. Narayan, On tachyons, gauged linear sigma models, and flip transitions,
J. High Energy Phys. 02 (2005) 062
(2005) [hepth/0412337]


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

