Project Grant 2502131
- This $174,000 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences supports research on the Langlands program, a foundational area of mathematics with connections to physics and computer science. The principal investigator (PI) will explore the representation theory of reductive groups and the theory of automorphic forms, with the primary objectives of studying the multiplicity problem for spherical varieties and using the relative trace...
- 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...
- The National Science Foundation (NSF) awarded Purdue University a $185,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program. The grant supports research to investigate the hypothetical mod p and p-adic Langlands correspondences that relate Galois representations and modular and integral representations of p-adic reductive groups. The research aims to construct local models for stacks of Galois representations in order to analyze these conjectural sheaves and...
- This Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $200,000 to support research at Boston University from September 1, 2024 to August 31, 2027. The research aims to explore new theoretical frameworks for the quadratic Chabauty method, compute invariants measuring curve complexity, and introduce new tools to study the Ceresa cycle, a fundamental...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to The Trustees of Smith College to support research on combinatorial models in representation theory, geometry, and analysis. The key focus areas of the research project include optimizing and analyzing two types of edge-labeled graphs: webs from knot theory and representation theory, and algebraic splines from applied mathematics. The...
- This Project Grant award of $225,000 from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research by the Trustees of Boston University to study methods for determining the finite set of rational points on curves of genus 2 or higher, regardless of Jacobian rank. The research will focus on computing Selmer sets in depth 2 and 3 for new classes of curves, building on the work of Kim's nonabelian Chabauty program. The project will also...
- This Project Grant award of $193,010.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program supports research to develop connections between number theory and physics. The project aims to explore the representation theory of quantum groups and their applications in explaining the bridge between special functions in number theory and statistical mechanics. The research will provide training opportunities...
- This $270,000 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research in geometric representation theory and symplectic geometry at the University of California, Berkeley. The research aims to develop new tools and solve open problems in these mathematical fields, which draw inspiration from theoretical physics. Key research themes include investigating the cocenter of the affine Hecke category,...
- This Project Grant award for $175,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research in algebraic geometry, a central branch of mathematics. The PI will focus on studying the geometry and enumerative geometry of KSBA spaces, which are a generalization of Deligne-Mumford's moduli spaces of curves to higher dimensions. This includes investigating the KSBA moduli spaces of anticanonical surfaces, Calabi-Yau hyperplane...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) is focused on three distinct problems in number theory, combinatorics, and ergodic theory. The $184,738 award will support research on generalizations of Szemerédi's Theorem, which concerns the existence of long arithmetic progressions in sufficiently large sets of integers. The investigator will also study the size and structure of integer distance sets. Additionally, the...
This Project Grant award, provided by the National Science Foundation's Mathematical and Physical Sciences Program (CFDA 47.049), will support research by the Trustees of Boston University to investigate the arithmetic geometry and representation theory of the local Langlands correspondence. The total award amount is $146,000, with a project period from August 15, 2025 to July 31, 2027. The key objectives of this research project are to: In addition to advancing mathematical knowledge, the project will support training opportunities for graduate and undergraduate students, and contribute to the mathematical community through workshops and conferences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $146.0k | 8/14/25 |