Mathematical Sciences: Applications of Linkage
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The technique of linkage has been instrumental in attacking                a diverse group of problems in commutative algebra.  Professors                 Kustin and Miller will concentrate in this research mainly on the               aspects of the theory that involve the interplay of linkage with                the structure of finite free resolution of perfect ideals,                      putting particular emphasis on the multiplicative structures                    supported on these resolutions.  They will also extend this study               to the more flexible relation of residual intersection, so that                 previous techniques can be extended to a wider class of algebras.               They are particularly interested in Rees algebras, and algebras                 defined by sequences and matrices of indeterminates.                            Applications to determination of rationality of Poincare series                 and the computation of certain K-groups are expected.
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{'Name': 'University of South Carolina at Columbia', 'CityName': 'COLUMBIA', 'ZipCode': '292083403', 'PhoneNumber': '8037777093', 'StreetAddress': '1600 HAMPTON ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'South Carolina', 'StateCode': 'SC', 'CONGRESSDISTRICT': '06', 'CONGRESS_DISTRICT_ORG': 'SC06', 'ORG_UEI_NUM': 'J22LNTMEDP73', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF SOUTH CAROLINA', 'ORG_PRNT_UEI_NUM': 'J22LNTMEDP73'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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