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Microlocal analysis and Monge-Ampere type equations in Geometry — NSF Award to University of Maryland, College Park (MD, $210,000)

This research project concerns questions in geometry, analysis, and algebra that can be formulated in terms of nonlinear partial differential equations. One of the research themes is the existence of canonical shapes and structures on manifolds or geometric spaces, related to the original work of Riemann on curvature a

Award titleMicrolocal analysis and Monge-Ampere type equations in Geometry
Award ID2506872
AwardeeUniversity of Maryland, College Park
CityCOLLEGE PARK
StateMD
Amount obligated$210,000
Principal investigatorYanir Rubinstein
ProgramGEOMETRIC ANALYSIS
Start date07/01/2025
AbstractThis research project concerns questions in geometry, analysis, and algebra that can be formulated in terms of nonlinear partial differential equations. One of the research themes is the existence of canonical shapes and structures on manifolds or geometric spaces, related to the original work of Riemann on curvature and Einstein's equations of general relativity. The analytic techniques to be developed in this project are expected to be useful to researchers working in geometry, physics, and re
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