NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	BROWN UNIVERSITY
Initial Amendment Date:	August 2, 1991
Latest Amendment Date:	August 2, 1991
Award Number:	9105220
Award Instrument:	Standard Grant
Program Manager:	Alvin I. Thaler DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	July 1, 1991
End Date:	December 31, 1994 (Estimated)
Total Intended Award Amount:	$33,839.00
Total Awarded Amount to Date:	$33,839.00
Funds Obligated to Date:	FY 1991 = $33,839.00
History of Investigator:	Joseph Silverman (Principal Investigator) jhs@math.brown.edu Walter Strauss (Co-Principal Investigator) Jonathan Lubin (Co-Principal Investigator) Walter Craig (Co-Principal Investigator) Jill Pipher (Co-Principal Investigator)
Recipient Sponsored Research Office:	Brown University 1 PROSPECT ST PROVIDENCE RI  US  02912-9100 (401)863-2777
Sponsor Congressional District:	01
Primary Place of Performance:	DATA NOT AVAILABLE
Primary Place of Performance Congressional District:
Unique Entity Identifier (UEI):	E3FDXZ6TBHW3
Parent UEI:	E3FDXZ6TBHW3
NSF Program(s):	INFRASTRUCTURE PROGRAM
Primary Program Source:
Program Reference Code(s):	9263
Program Element Code(s):	126000
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

The Department of Mathematics at Brown University will purchase computer equipment consisting of workstations, networking hardware, and programming and symbolic algebra software which will be dedicated to support research in the mathematical sciences. The equipment will be used for several research projects, including in particular: (1) the study of wave phenomena, the numerical computation of singular integrals related to free surface problems in non-linear fluid dynamics, the scattering frequency of linear waves, and the unstable solutions of nonlinear dispersive waves; (2) various problems in number theory and arithmetic geometry, such as arithmetic properties of Weierstrass points, p-adic dynamical systems and the fields generated by the fixed points of such systems, canonical heights on elliptic curves over number fields, and the Diophantine geometry of K3 surfaces; (3) boundary value problems and eigenvalue problems for elliptic differential operators.

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