Mathematical Sciences: Stability Problems In The Theory Of  Convex Sets
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{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
Helmut Groemer will carry out research into stability                      problems associated with convex sets. Many theorems in the theory               of convex sets state that under certain conditions a body is of                 an important special type or that two bodies are related to one                 another in a particular way. Corresponding to such results it is                often easy to pose an associated stability problem. For example                 one might ask how close a body is to being a ball in terms of its               isoperimetric deficit.                                                               The investigator has already made some progress in this                    direction notably in the case of results connected with                         projections of convex bodies. His future research will focus on                 stability problems associated with the Brunn-Minkowski theorem,                 symmetrization procedures, inscribed and circumscribed bodies.                  The anticipated techniques will involve geometric adaptations of                spherical harmonics and Radon transforms.
{'FirstName': 'Helmut', 'LastName': 'Groemer', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Helmut Groemer', 'EmailAddress': None, 'NSF_ID': '000433877', 'StartDate': '06/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Arizona', 'CityName': 'TUCSON', 'ZipCode': '85721', 'PhoneNumber': '5206266000', 'StreetAddress': '845 N PARK AVE RM 538', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Arizona', 'StateCode': 'AZ', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'AZ07', 'ORG_UEI_NUM': 'ED44Y3W6P7B9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ARIZONA', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}
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