Mathematical Sciences: Moduli of Abelian Varieties
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This research will study the moduli stacks of abelian                      schemes over the integers with level structures.  It will also                  investigate the intersections of the different components of the                moduli space of polarized abelian varieties over a field of                     characteristic p &gt; 0.                                                                This research studies the number theoretic-algebraic                       geometric object called an abelian variety.  This is the                        geometric interpretation of the object one studies in number                    theory in attempting to solve diophantine equations, i.e.                       solutions of polynomial equations in integers.  Dr. Norman is a                 very deep worker in this area who has already embarked on this                  project with very promising results so far.  This work should                   lead to very exciting further results.
{'FirstName': 'Peter', 'LastName': 'Norman', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Peter Norman', 'EmailAddress': 'norman@math.umass.edu', 'NSF_ID': '000324710', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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