Project Grant 2507047
- This $200,000 National Science Foundation project grant supports mathematical and physical sciences research at Michigan State University from September 2022 through August 2025. The award falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and address national problems through basic research and education in these fields. Specifically, the principal investigator and their team will investigate Floer and Khovanov theories...
- This National Science Foundation Project Grant award in the amount of $241,311 provides funding from June 1, 2022 through May 31, 2025 to support research into arithmetic questions in the theory of linear algebraic groups at Michigan State University. The principal investigator will investigate the arithmetic, geometric, and structural aspects of algebraic groups over higher-dimensional fields, with a focus on various finiteness properties. Specific objectives include establishing finiteness...
- Michigan State University was awarded a $436,377 project grant from the National Science Foundation Division of Mathematical Sciences on July 15, 2021 to complete work by June 30, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. Specifically, the funding will support Michigan State University's...
- 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 three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program ($160,000) will support research at Michigan State University exploring the connections between cluster algebras, quantum groups, and decorated character varieties. The principal investigator will investigate the quantum geometry of moduli spaces within the framework of cluster algebras, examining relationships between decorated character varieties, quantum groups, and Legendrian...
- Michigan State University was awarded a $377,544 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in topological quantum field theory and geometric structures in low dimensional topology from September 1, 2023 through August 31, 2026. Specifically, the university will study relations between quantum invariants and geometric structures in three-dimensional manifolds, investigate asymptotic aspects of...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) totaling $249,648 supports research on the relation between geometric and algebraic structures of groups. The award will fund the principal investigator's (PI) investigations into groups with geometric structures, focusing on situations where such groups have subgroups that exhibit undesirable geometric properties. Additionally, the PI will undertake efforts to broaden...
- 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...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $153,765 Project Grant to Wayne State University from August 1, 2023 to July 31, 2026. This award, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports research focused on applications of equivariant stable homotopy theory - a central part of algebraic topology involving the study of topological objects and generalized cohomology theories. The principal investigator will continue...
- This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award to Michigan State University totaling $160,279 supports research in the field of algebraic geometry. The project will explore the constraints placed on smooth nonlinear shapes from modular forms, and then examine which features persist when the shapes acquire singularities. This will require the use of more general tools called quasi-modular and mock modular forms. The project offers opportunities for...
This Project Grant award of $205,118 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support fundamental research in topology, group theory, and related areas at Michigan State University (MSU) from September 1, 2025 through August 31, 2028. The research aims to advance mathematical knowledge in three interconnected components: 1) investigating Simon's conjecture on knot groups and knot genera using division rings, 2) developing algebraic and topological characterizations of the Thurston norm on free-by-cyclic groups, and 3) studying how L2-Betti numbers behave under Dehn filling with applications to verifying Singer's conjecture. In addition to the core research, the award will fund outreach activities to promote STEM education and broaden participation, including a summer camp for high school students, a math night for elementary students, and a workshop for graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $205.1k | 8/19/25 |