Project Grant 2200541
- This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $145,260 to Tufts University to investigate questions in arithmetic statistics through September 2025. Specifically, the grantee will study how arithmetic statistical objects decompose into simpler components and apply uniform bounds to number fields, class groups, and Artin L-functions. This work aims to further...
- This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award of $327,441 to the University of Illinois will fund research focused on challenges at the intersection of harmonic analysis, number theory, and dispersive equations. The principal investigator (PI) plans to explore connections between diverse mathematical fields, including additive combinatorics, classical Fourier analysis, dispersive equations on tori, and ergodic theory. The funded...
- The National Science Foundation (NSF) awarded a $246,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Princeton University. The grant, with a period of performance from July 1, 2025 to June 30, 2027, supports fundamental research in number theory. The principal investigator will develop new probabilistic models and multiple Dirichlet series to advance the understanding of Galois groups and L-functions, which have applications to prime number...
- The National Science Foundation Division of Mathematical Sciences awarded a $240,670 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into elliptic cohomology, geometry, and physics from August 1, 2022 to July 31, 2025. Specifically, the University of Illinois researchers will leverage 2-equivariant elliptic cohomology to reduce key questions in the relationship between certain quantum...
- The National Science Foundation Division of Mathematical Sciences awarded a three-year $260,000 Project Grant to the University of Illinois from September 2023 through August 2026 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant funds research into predictable behavior in large random structures using tools from probability theory, combinatorics, analysis, and theoretical computer science. Specific models studied include those used to model noisy...
- The National Science Foundation awarded a $400,000 Project Grant to the University of Illinois under the Mathematical and Physical Sciences program (CFDA 47.049) from June 15, 2022 to May 31, 2025. The grant supports research into singularities in positive and mixed characteristic commutative algebra, advancing theoretical understanding and shedding light on problems in related fields. The Principal Investigator will investigate properties of the dual F-signature limit in characteristic P >...
- This National Science Foundation project grant of $102,612 supports research at the University of Illinois from October 1, 2022 through May 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The award aims to advance understanding of dynamical systems and number theory through four objectives: developing methods in homogeneous dynamics to study rational points near manifolds and self-similar sets; techniques in random walk theory and representations of algebraic...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $320,000 Project Grant to the University of Illinois, Urbana-Champaign under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant, effective September 1, 2023 through August 31, 2026, supports fundamental research on symplectic groupoids and the quantization of Poisson manifolds. Key objectives include developing a novel non-formal deformation quantization approach, advancing the...
- The National Science Foundation awarded a $201,000 Project Grant to the University of California, Berkeley under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in Diophantine geometry and arithmetic geometry, which study solutions to families of polynomial equations. Specifically, the principal investigator and collaborators will develop new frameworks to prove the irrationality of certain conjectured numbers through analysis of rational...
- The National Science Foundation Division of Mathematical Sciences awarded a $1,017,190 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research on extremal combinatorics and flag algebras from August 1, 2022 to July 31, 2025. Specifically, the grant aims to resolve three prominent open questions in extremal combinatorics posed by Erdős, Turán, and Zarankiewicz using flag algebra...
The National Science Foundation Division of Mathematical Sciences awarded a $141,400 Project Grant to the University of Illinois under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into Galois structures and arithmetic statistics in number theory from August 15, 2022 to July 31, 2025. Specifically, the principal investigator and collaborators will modify non-abelian Cohen-Lenstra heuristics when the base field contains roots of unity; study how the signature of the base field affects distributions; and generalize Gerth's conjecture. The research advances understanding of algebraic number fields and their random invariants by exploring constructions of random models to simulate class group distributions. Findings are expected to provide new insights into Galois structures of unramified extensions and properties implied by arithmetical statistical heuristics. The award also includes support for an undergraduate research experience.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $141.4k | 5/3/22 |