NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	RUTGERS, THE STATE UNIVERSITY
Initial Amendment Date:	July 8, 1996
Latest Amendment Date:	July 8, 1996
Award Number:	9622961
Award Instrument:	Standard Grant
Program Manager:	Gary Cornell DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	August 15, 1996
End Date:	July 31, 1999 (Estimated)
Total Intended Award Amount:	$62,100.00
Total Awarded Amount to Date:	$62,100.00
Funds Obligated to Date:	FY 1996 = $62,100.00
History of Investigator:	Yi-Zhi Huang (Principal Investigator) yzhuang@math.rutgers.edu
Recipient Sponsored Research Office:	Rutgers University New Brunswick 3 RUTGERS PLZ NEW BRUNSWICK NJ  US  08901-8559 (848)932-0150
Sponsor Congressional District:	12
Primary Place of Performance:	Rutgers University Busch Campus Administrative Services Building Piscataway NJ  US  08854-1089
Primary Place of Performance Congressional District:
Unique Entity Identifier (UEI):	M1LVPE5GLSD9
Parent UEI:
NSF Program(s):	ALGEBRA,NUMBER THEORY,AND COM
Primary Program Source:	app-0196
Program Reference Code(s):	0000, OTHR
Program Element Code(s):	126400
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

9622961 Huang This grant supports the research of Professor Y. Huang to work on various problems in the theory of vertex operators and conformal field theory. He wishes to study higher-genus conformal field theories, especially their applications to geometry and topology. He also hopes to study geometric constructions related to Virasoro algebras, sigma models, and the geometry of the monster sporadic group. This is research that starts out in the field of algebra but moves beyond that to touch both number theory and theoretical physics. The reasons for these connections are that algebra can be though of as the study of symmetry in the abstract. As such algebra has direct applications to areas of physics and chemistry. In particular the modern theory of gauge fields in physics uses this area of algebra extensively and this project will study some of these connections at length. There are also connections to coding theory and the transmission of data across communication lines.

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