Mathematical Sciences:  Algorithmic Algebraic Geometry
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This research is concerned with the theoretical aspects of                 algorithmic algebraic geometry and its applications to                          geometric modeling, modular computations with combinatorics                     with a special emphasis on the following topics; boundary                       representation, singularity analysis and resolution,                            implicitization and parametrization, Chinese remaindering and                   polynomial interpolation, polynomial GCD and polynomial                         factorization, multivariate resultants, enumerative                             combinatorics of Young Tableau, positive Diophantine solutions,                 and commutative algebra, and central trajectories in                            representations  of matroids.
{'FirstName': 'Shreeram', 'LastName': 'Abhyankar', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Shreeram Abhyankar', 'EmailAddress': 'ram@math.purdue.edu', 'NSF_ID': '000108145', 'StartDate': '05/15/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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