Project Grant 2550445
- The University of California, San Diego will research classical, motivic and equivariant stable homotopy groups of spheres under a $264,138 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences. The grant falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. For three years ending July 2024, UCSD researchers will investigate fundamental structures in...
- The University of California, San Diego was awarded a $218,577 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research in the field of combinatorial representation theory from July 2023 through June 2026. Specifically, the principal investigator and collaborators will study objects that remain invariant under certain linear symmetries, seeking to extend...
- 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 federal Project Grant award of $285,100.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by the University of California, San Diego (UCSD) on geometric and analytic aspects of invariant metrics and their potentials in complex analytic spaces, as well as related invariants in CR structures. The research aims to investigate questions motivated by the Cheng-Yau and Ramadanov conjectures concerning the Bergman metric...
- The University of California, San Diego will receive $294,440 from the National Science Foundation over three years under a Project Grant award titled "Finitary Analysis in Homogeneous Dynamics and Applications." The funding will support research into mathematical and physical sciences under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the award will advance understanding of major problems confronting the nation through increasing the store of...
- This $333,837 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on von Neumann algebras at the University of California, San Diego (UCSD). The three-year project aims to investigate rigidity aspects of groups in the context of von Neumann algebras, explore the classification and rigidity of large von Neumann algebras, and study trace spaces of groups and C*-algebras. The research seeks to advance the...
- The University of California, San Diego (UCSD) has been awarded a $189,999 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Program (CFDA 47.049). This 3-year grant will enable UCSD researchers to study random walks and super-approximation techniques, with applications across various mathematical disciplines and beyond. The Principal Investigator will investigate properties of random walks on spaces with...
- The University of California, San Diego was awarded a $167,377 project grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Sobolev spaces of differential forms on smooth and Lipschitz manifolds with applications to finite element exterior calculus. Key activities include developing a more complete mathematical understanding of properties of certain...
- The University of California, Santa Barbara will use a $100,000 Project Grant award from the National Science Foundation to support research titled "HYPERK?HLER GEOMETRY, STABILITY CONDITIONS, AND MODULI SPACES" from July 1, 2021 to June 30, 2024. The award falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing...
- The University of California, San Diego (UCSD) received a $300,000 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports the development of advanced computational and statistical methods for analyzing complex, dependent data from diverse scientific domains such as climate, economics, and neuroimaging. Key research thrusts include subsampling and resampling techniques for large datasets, robust...
The University of California, San Diego (UCSD) was awarded a $134,046.00 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program on September 1, 2025. The grant supports UCSD's research on moduli spaces of higher dimensional algebraic varieties, specifically studying degenerations of hypersurfaces (varieties defined by a single polynomial equation) from a moduli-theoretic perspective. The main objectives are to investigate when smooth limits of hypersurfaces are again hypersurfaces, and to classify singular varieties appearing in these moduli spaces, focusing on degenerations of projective space, Fano varieties, and log Calabi-Yau pairs. The project leverages tools such as wall crossing in K-stability and KSBA moduli, the minimal model program, geometric invariant theory, and interpolation between different perspectives on moduli spaces. The research has connections to various fields including algebraic geometry, symplectic geometry, differential geometry, enumerative geometry, combinatorics, mirror symmetry, number theory, and physics.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $134.0k | 9/5/25 |