Project Grant 2154408
- 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...
- 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...
- 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...
- 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...
- 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 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 of $121,754 awarded on September 1, 2022 will support research into number theory through August 31, 2024 under the Mathematical and Physical Sciences CFDA 47.049 program. Specifically, the University of Michigan-Dearborn will extend prior work on Bianchi modular forms, elliptic Dedekind sums, and L-functions over imaginary quadratic fields. The Principal Investigator will study generalizations of Szeché's Eisenstein cocycles with applications to...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program will support research by the principal investigator on p-adic L-functions and Selmer groups in number theory. The $125,986 award, with a performance period from August 15, 2025 to July 31, 2027, will fund investigations into connections between the arithmetic properties of polynomial equations and the behavior of their associated L-functions. The research will...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- This $201,798 Project Grant was awarded by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support the Principal Investigator's research on applying new techniques in algebraic geometry to study the geometry of solution sets to systems of polynomial equations. The research will focus on three main directions: cohomology of moduli spaces of stable and smooth curves, and conjectures related to hypersurface...
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 of unramified cohomology in degree three for surfaces and certain higher-dimensional varieties over global fields. Mentoring graduate students and developing undergraduate and graduate courses is also part of the work. The award falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in mathematics and the physical sciences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $241.3k | 4/5/22 |