Mathematical Sciences: Constant Term Identities and         Combinatorial Enumeration
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{'SignBlockName': 'Gary Cornell', 'PO_EMAI': None, 'PO_PHON': None}
This project is about constant term identities,                            combinatorial enumeration, and their interaction.  Four areas of                research will be pursued: constant term identities; multi-variate               integrals and their q-analogs; enumeration of certain arrays of                 integers; and uses of constant term identities in proving the                   Mills-Robbins-Rumsey conjectures.                                                    This project involves the use of computers in attempts to                  resolve some of the problems.  The problems are also of interest                in several areas outside of combinatorics, such as hypergeometric               series, Lie theory, and cyclic homology.
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[{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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