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Complex Geometry and Applications — NSF Award to Washington University (MO, $299,998)

Mathematics advances when seemingly different phenomena turn out to share a common underlying structure. This project investigates how mathematical constraints shape the behavior of mathematical objects across several interconnected areas of pure and applied mathematics. A central theme is rigidity: when does satisfyin

Award titleComplex Geometry and Applications
Award ID2554487
AwardeeWashington University
CitySAINT LOUIS
StateMO
Amount obligated$299,998
Principal investigatorJohn McCarthy
ProgramANALYSIS PROGRAM
Start date07/01/2026
AbstractMathematics advances when seemingly different phenomena turn out to share a common underlying structure. This project investigates how mathematical constraints shape the behavior of mathematical objects across several interconnected areas of pure and applied mathematics. A central theme is rigidity: when does satisfying a natural condition force an object to have a very special form? Discovering such principles deepens basic scientific understanding and creates tools that can be used in other fi
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