Project Grant 2452797
- This $405,998 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to Regents of the University of Michigan, Office of Research and Sponsored Projects, doing business as the University of Michigan. The grant supports the principal investigator's research into the deformation spaces of geometric structures on n-dimensional manifolds. This includes studying the Hitchin component of...
- This $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- This National Science Foundation Project Grant award of $302,854 provides funding from July 1, 2022 through June 30, 2025 to support research in algebraic geometry at Michigan State University. The PI will investigate relationships between hyperkähler manifolds, Fano varieties, Calabi-Yau varieties, and varieties of general type through moduli theory. Specifically, the PI aims to 1) formalize geometric constructions relating Fano varieties to hyperkähler manifolds of K3 type, 2) study which...
- This $307,873 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will fund research into geometric, analytic, and algebraic aspects of real submanifolds in complex varieties and their symmetries from June 1, 2022 to May 31, 2025. The University of California, San Diego will study properties of various metrics and kernels related to Kähler-Einstein metrics on higher-dimensional spaces, with goals of characterizing domains and...
- The National Science Foundation (NSF) awarded a $339,999 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to New York University (NYU) for research on geometric analysis and complex geometry. The award supports the principal investigator's work on studying geometric structures of complex manifolds, including Calabi-Yau manifolds, and investigating the nature of singularities that arise in Ricci flow - a geometric evolution equation. The research aims to enhance...
- This $172,000 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research by Michigan State University on the birational classification of algebraic varieties. The key goals are to investigate the moduli theory and boundedness of Fano varieties over the integers, explore connections between birational geometry and commutative algebra/arithmetic geometry, and apply new techniques from derived algebraic geometry to study...
- This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $155,345 to support research on Calabi-Yau manifolds and Kähler-Ricci solitons, which are special types of complex manifolds with wide-ranging applications in physics and mathematics. The project aims to (1) construct examples of non-compact singularity model geometries, (2) describe the moduli of these spaces, and (3) analyze the corresponding degenerations. This...
- This $155,678 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental research on mirror symmetry and the moduli of Calabi-Yau manifolds, which are important geometric structures in string theory. The award funds a project that will study the mirror symmetry phenomenon and its relation to the classification of Calabi-Yau manifolds, as well as provide research training opportunities for graduate students. The project aims to...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
This $279,965.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Michigan to investigate open questions in the areas of complex analysis and geometry using innovative non-Archimedean methods. The key focus areas include studying the Yau--Tian--Donaldson conjecture on an algebro-geometric criterion for the existence of constant scalar curvature metrics, examining the existence of complete Calabi--Yau metrics on affine complex manifolds, and investigating the asymptotic geometry of degenerating families of compact complex Calabi--Yau manifolds in the context of mirror symmetry. This research leverages Berkovich spaces, which are non-Archimedean analogues of real and complex manifolds, and is expected to generate research opportunities for graduate and undergraduate students over the project period from Aug 2025 to Jul 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $280.0k | 7/31/25 |