Project Grant 2601275
- This $195,929 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research to investigate canonical metrics and stability in complex geometry. The principal investigator at Rutgers, The State University aims to bridge connections between differential geometry and algebraic geometry in the study of projective manifolds and scalar curvature. Key research activities include exploring the Yau-Tian-Donaldson...
- 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 $210,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research into the connections between geometry, analysis, and algebra that can be expressed through nonlinear partial differential equations. The research aims to develop new analytical techniques for studying canonical shapes, structures, and properties of geometric spaces and manifolds. This includes investigating special Lagrangian...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research on conformal invariants, Einstein manifolds, and their minimal submanifolds. The project aims to develop new tools and methods from conformal geometry to construct and classify geometric invariants that can control the behavior of Einstein manifolds and their minimal submanifolds, which are of fundamental interest in mathematics and...
- This $155,345 federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) will support research on complex manifolds, specifically Calabi-Yau manifolds and Kähler-Ricci solitons, which have broad applications across physics and mathematics. The award will fund efforts to (1) construct examples of non-compact singularity model geometries, (2) describe the moduli of these spaces, and (3) analyze the corresponding degenerations. This...
- 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 $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...
- This Project Grant award, valued at $279,965.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The purpose of the award is to use innovative non-Archimedean methods to investigate open questions in the areas of complex analysis and geometry, which are crucial for a host of scientific fields including engineering, biology, and physics. The key research activities under this award include: 1) Employing...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides funding of $285,100.00 to the University of California, San Diego (UCSD) to study geometric and analytic aspects of invariant metrics and related invariants in complex analytic spaces and CR structures. The research project aims to investigate questions motivated by the classical and generalized Cheng-Yau and Ramadanov conjectures concerning the Bergman metric...
- This $175,000 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research in algebraic geometry, a central branch of mathematics. The award will fund projects focused on the geometry and enumerative geometry of KSBA spaces, a generalization of Deligne-Mumford's moduli spaces of curves to higher dimensions. Key areas of research include studying the KSBA moduli spaces of anticanonical surfaces,...
This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $111,379.00 to fund research related to the existence of canonical metrics in complex geometry. The project, awarded to the Research Foundation of the City University of New York (RFCUNY), aims to further the understanding of canonical metrics by developing new techniques in nonlinear partial differential equations. The research will investigate geometric problems related to canonical metrics on complex manifolds and the classification of algebraic varieties. Key goals include proving the existence of constant scalar curvature Hermitian metrics and transforming the understanding of canonical metrics on a given manifold. The project will also support mentoring of undergraduate and graduate students and organizing seminars and conferences, with an emphasis on inclusion of women and underrepresented groups. The performance period for this award is from December 1, 2025 to June 30, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $111.4k | 12/8/25 |