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Project Information

AUTOMORPHIC FORMS ON HIGHER RANK AND KAC-MOODY GROUPS

Agency:
NSF

National Science Foundation

Project Number:
1500562
Contact PI / Project Leader:
MILLER, STEPHEN D
Awardee Organization:
RUTGERS THE ST UNIV OF NJ NEW BRUNSWICK

Description

Abstract Text:
Automorphic forms are a basic yet intricate structure in modern mathematics. Though historically they have been studied primarily by number theorists and representation theorists, they have connections to other branches of science. This research explores a number of questions connecting different areas of mathematics and physics. The project includes collaborative work with mathematical physicists that uses automorphic forms to describe corrections to general relativity that arise in string theory.

Other projects include a detailed investigation of the square-integrability of certain Eisenstein residues (which has applications to the unitary dual problem), as well as a study of Eisenstein series on infinite-dimensional Kac-Moody group (in particular, the meromorphic continuation of their constant terms). Another project concerns applications of Voronoi-style summation formulas to number theory, such as to subconvexity problems for automorphic L-functions. Finally, the Miatello-Wallach conjecture (that the moderate growth condition in the theory of automorphic forms is in fact redundant on higher rank groups) will also be a focus of the research.
Project Terms:
Area; Growth; Investigation; Mathematics; number theory; Physics; Research; Science; Series; string theory; Structure; theories; Work

Details

Contact PI / Project Leader Information:
Name:  MILLER, STEPHEN D
Other PI Information:
Not Applicable
Awardee Organization:
Name:  RUTGERS THE ST UNIV OF NJ NEW BRUNSWICK
City:  NEW BRUNSWICK    
Country:  UNITED STATES
Congressional District:
State Code:  NJ
District:  06
Other Information:
Fiscal Year: 2015
Award Notice Date: 25-Aug-2015
DUNS Number: 001912864
Project Start Date: 01-Sep-2015
Budget Start Date:
CFDA Code: 47.049
Project End Date: 31-Aug-2018
Budget End Date:
Agency: ?

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National Science Foundation
Project Funding Information for 2015:
Year Agency

Agency: The entity responsible for the administering of a research grant, project, or contract. This may represent a federal department, agency, or sub-agency (institute or center). Details on agencies in Federal RePORTER can be found in the FAQ page.

FY Total Cost
2015 NSF

National Science Foundation

$75,000

Results

i

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