Mathematical Sciences: Riemann Surfaces and Analytic Torsion
{'Code': '03040108', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Trudy T. Sensibaugh', 'PO_EMAI': None, 'PO_PHON': None}
John Fay will carry out research into recent developments                  relating theta functions and Riemann surfaces. This is an area                  which has flourished because of its connections with the                        Kadomtsev-Petviashvili hierarchy of differential equations and                  with string theory. It also has great intrinsic interest for                    mathematics since it will contribute towards a theory of higher                 rank vector bundles on Riemann surfaces.                                             The research will center on Ray-Singer analytic torsion as                 defined on the moduli spaces of vector bundles on Riemann                       surfaces. This will include study of three aspects. The first                   concerns the holomorphic factorization  and vanishing properties                of torsion on the Jacobi variety. The second involves                           investigation of the explicit dependence of torsion on the moduli               of the Riemann surface. The final aspect will be concerned with                 the properties of the generalized Szego kernel and theta-                       functions defined by torsion for rank-two bundles.
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{'Name': 'Haverford College', 'CityName': 'HAVERFORD', 'ZipCode': '190411336', 'PhoneNumber': '6108961000', 'StreetAddress': '370 W LANCASTER AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '05', 'CONGRESS_DISTRICT_ORG': 'PA05', 'ORG_UEI_NUM': 'QAP9NNDEWGZ8', 'ORG_LGL_BUS_NAME': 'THE CORPORATION OF HAVERFORD COLLEGE', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
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