Project Grant 2152235
- This three-year Project Grant from the National Science Foundation Division of Mathematical Sciences, totaling $540,974, will fund collaborative research applying recent developments in higher category theory and condensed mathematics to longstanding questions in algebraic geometry and the introduction of new questions in analytic algebraic geometry. Specifically, the principal investigators and their collaborators at the University of California, Berkeley will pursue four main research...
- This Project Grant award from the National Science Foundation Division of Mathematical Sciences provides $497,614 in funding to the University of Chicago from September 1, 2022 to August 31, 2025. The award supports research into higher categorical structures in algebraic geometry under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). Specifically, the funding will allow the University of Chicago researchers to pursue four main challenges applying recent developments in higher...
- This National Science Foundation (NSF) Division of Mathematical Sciences grant award, titled "Categorical Centers, Cactus Actions, and Diagram Algebras," provides $170,000 in funding to Northeastern University over 3 years, from September 1, 2023 to August 31, 2026. The project will develop a deeper understanding of representation theory, which studies the symmetries of mathematical objects, by combining algebraic, combinatorial, and categorical techniques to investigate quantum groups...
- 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...
- The University of Wisconsin-Madison received a $150,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on categorical invariants in non-commutative geometry from August 1, 2022 to July 31, 2025. Specifically, the Principal Investigator will expand the understanding of the role played by splittings of the non-commutative Hodge filtration in defining categorical...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $194,999 to support collaborative research at Princeton University from June 2022 to June 2024. The funding falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will bring together researchers to address open problems at the intersection of matroids, graphs, and algebraic...
- The National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
- This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in commutative algebra and algebraic geometry. The $207,142 award to Oberlin College will fund investigations into several classical algebraic structures, including differential operators, almost complete intersections, and Gorenstein ideals. The project aims to develop new homological techniques to understand the geometric...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $290,813 to The Washington University in St. Louis to support a research project in noncommutative geometry and its applications. The primary objectives are to: Introduce new numerical invariants to distinguish noncommutative spaces and refine known invariants such as the Connes-Chern character. Apply cyclic theory to study an analytic version of the Milnor...
- Regents of the University of Minnesota was awarded a $280,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award beginning September 1, 2023 will support collaborative research into derived categories in birational geometry, enumerative geometry, and non-commutative algebra. Specifically, the university will investigate connections between derived categories...
This three-year, $611,884 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on higher categorical structures in algebraic geometry at Northwestern University from September 2022 through August 2025. The project aims to apply recent developments in higher category theory and condensed mathematics to longstanding questions in algebra and algebraic geometry relating to complete noncommutative categorical invariants, the role of commutative objects inside noncommutative objects, p-adic cohomology of algebraic varieties, and extending these approaches to the analytic context. In addition to conducting the research, the award will provide training for graduate students and postdoctoral researchers through direct involvement in the work. It will also support several workshops to engage early-career mathematicians in the program's objectives of advancing fundamental understanding in these core mathematical fields.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $305.9k | 6/28/22 |