Mathematical Sciences: Differential Geometric Problems      Related To Mathematical Physics
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Tom Parker will continue his work in gauge theory. This is                 currently an extremely active and important part of mathematics.                It is important in mathematical physics because of its                          significance in quantum Yang-Mills theory and in topology because               of its implications for diffeomorphism types of four dimensional                manifolds.                                                                           The central objects of study are the moduli spaces of self                 dual connections on vector bundles over a four dimensional                      Riemannian manifold. Parker's intention is to investigate the                   geometry of these spaces as Riemannian manifolds. This will build               on the present topological descriptions and will help to provide                answers to some problems of physical interest.
{'FirstName': 'Thomas', 'LastName': 'Parker', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Thomas H Parker', 'EmailAddress': 'parker@math.msu.edu', 'NSF_ID': '000116396', 'StartDate': '06/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
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