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...
Michigan State University was awarded a $314,000 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) for work on "Noncommutative Algebras and Their Interactions with Algebraic and Arithmetic Geometry" over a three-year period from July 1, 2021 to June 30, 2024. The grant aims to advance understanding of major problems in mathematics through research exploring noncommutative algebras and their relationships to algebraic and...
Michigan State University was awarded a $138,947 Project Grant from the National Science Foundation Division of Mathematical Sciences under the federal Mathematical and Physical Sciences grant program (CFDA 47.049). The grant will fund a collaborative research project from July 2021 through June 2024 to develop trace methods and applications for cut-and-paste K-theory. The Mathematical and Physical Sciences program aims to promote progress in mathematics and the physical sciences to strengthen...
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...
The National Science Foundation awarded Michigan State University a $438,999 project grant under the Mathematical and Physical Sciences program (CFDA 47.049) for research titled "COLLABORATIVE RESEARCH: NON-PERTURBATIVE ANALYSIS FOR MULTI-DIMENSIONAL QUASIPERIODIC SYSTEMS" from July 1, 2021 to June 30, 2024. The grant aims to advance understanding of major problems in the mathematical and physical sciences through supporting progress in mathematics and statistics. Specifically, the...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $300,000 Project Grant to the Regents of the University of Michigan under the Mathematical and Physical Sciences program (CFDA 47.049) to pursue two lines of investigation related to cluster algebras and cluster varieties. The first line of investigation involves constructing cluster structures on braid varieties, Richardson varieties, and related geometric spaces that have applications in representation theory and...
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...
The National Science Foundation awarded a $250,000 project grant to Michigan State University under the Mathematical and Physical Sciences program (CFDA 47.049) for work titled "SHIMURA VARIETIES, P-ADIC SHTUKAS, AND LOCAL SYSTEMS" from May 1, 2021 to April 30, 2024. The grant will support research exploring major problems in the mathematical and physical sciences, such as investigating Shimura varieties, p-adic shtukas, and local systems to strengthen the nation's scientific...
Michigan State University was awarded a $150,866 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) for the period of September 1, 2021 through August 31, 2024. The grant funds collaborative research to develop fast, low-memory embeddings for tensor data with applications. The NSF's Mathematical and Physical Sciences program aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing...
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...