Mathematical Sciences: Polynomial Invariants in Knot Theory
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{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
This research investigates polynomial invariants of knots               and links in three-dimensional space.  The main invariant under                 investigation is a two-variable generalization of the Jones                     polynomial that is due to the principal investigator.  This                     invariant and related viewpoints are being used to prove                        conjectures about alternating knots, make new models for the                    Jones polynomial, examine embeddings of graphs (with possible                   applications in chemistry and molecular biology) and to draw                    connections between knot theory and statistical physics.
{'FirstName': 'Louis', 'LastName': 'Kauffman', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Louis H Kauffman', 'EmailAddress': 'kauffman@uic.edu', 'NSF_ID': '000475644', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Illinois at Chicago', 'CityName': 'CHICAGO', 'ZipCode': '606124305', 'PhoneNumber': '3129962862', 'StreetAddress': '809 S MARSHFIELD AVE M/C 551', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'IL07', 'ORG_UEI_NUM': 'W8XEAJDKMXH3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ILLINOIS', 'ORG_PRNT_UEI_NUM': None}
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