Math @ Duke
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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 10-dimensional
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 Calabi-Yau 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)
- Ilia Zharkov (September 1, 2001 - June 30, 2003)
- Christian Hasse (September 1, 2001 - June 30, 2005)
- 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 [hep-th]]
- M. Buican, D. Malyshev, D. R. Morrison, H. Verlinde, and M. Wijnholt, D-branes at singularities, compactification, and hypercharge,
J. High Energy Phys. 01 (2007) 107
(2007) [hep-th/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) [hep-th/0412337]
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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