Mathematical Sciences: Cohomology and Modular               Representations of Algebraic Groups
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This research is concerned with a number of closely related                questions about the cohomology and representation theory of                     semisimple algebraic groups and finite groups of Lie type.  One                 major focus is the cohomology of line bundles on flag varieties,                where the study of module structure would illuminate the                        vanishing behavior.                                                                  This research is in the general area of algebraic groups.                  The proposed research falls under two broad headings: cohomology                of line bundles on flag varieties, and injective modules.                       Advances along these lines would both shed light on Lusztig's                   conjecture, as well as, point the way beyond it.
{'FirstName': 'James', 'LastName': 'Humphreys', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'James E Humphreys', 'EmailAddress': 'jeh@math.umass.edu', 'NSF_ID': '000211201', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Massachusetts Amherst', 'CityName': 'AMHERST', 'ZipCode': '010039252', 'PhoneNumber': '4135450698', 'StreetAddress': '101 COMMONWEALTH AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'MA02', 'ORG_UEI_NUM': 'VGJHK59NMPK9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF MASSACHUSETTS', 'ORG_PRNT_UEI_NUM': 'VGJHK59NMPK9'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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