Project Grant 2532818
- The National Science Foundation Division of Physics awarded $172,119 to San Jose State University Research Foundation under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) for the project "LEAPS-MPS: INVESTIGATING EMERGENT GRAVITY IN COMBINATORIAL QUANTUM SYSTEMS" from January 1, 2022 to December 31, 2023. The funding supports research investigating emergent gravity in combinatorial quantum systems to promote progress in mathematical and physical sciences and...
- This federal Project Grant award of $117,892 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the geometry of mapping class groups and surface bundles, which are fundamental concepts in mathematics. The research project, conducted by the Regents of the University of California at Riverside, aims to develop combinatorial techniques for studying the geometry of these mathematical objects. Additionally, the educational...
- 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...
- The National Science Foundation (NSF) awarded a $376,177 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to Sam Houston State University (SHSU) for the project "PRIMES: Geometry, Topology, and Dynamics of Higher Rank Character Varieties". The funding will support fundamental research by the Principal Investigator (PI) on the topological complexity and symmetries of surfaces using tools from geometry, algebra, and dynamical systems. Key project...
- This $299,999 Project Grant award from the National Science Foundation's (CFDA 47.049) Mathematical and Physical Sciences program supports research on the rigidity and bounded cohomology of groups acting on nonpositively curved spaces. The principal investigator (PI) will focus on understanding the fundamental dynamical, topological, and geometric properties of infinite transformation groups that act in a distance-preserving manner on spaces like Euclidean and hyperbolic spaces. Key components...
- 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...
- 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 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $275,396 to the University of Oklahoma from August 1, 2023 through July 31, 2026. The funding supports research into the geometries and topologies of surfaces and graphs. Specifically, the award will advance understanding of how abstract algebraic groups manifest as symmetries of geometric spaces in one and two dimensions. Graduate students will gain research experience applying...
- This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $172,247 to support collaborative research on small quantum groups, their categorifications, and topological applications. The research aims to bridge the gap between 3D topological quantum field theories and our 4D universe, with a focus on developing homological invariants of 3D and 4D manifolds. The project will involve students and postdocs,...
- This $300,000 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) supports research and education activities in the area of automorphic forms and exceptional algebraic structures at the University of California, San Diego from July 1, 2022 to June 30, 2027. The principal investigator will conduct three related research projects investigating half-integral weight modular forms on exceptional groups, modular forms on the exceptional group G2 with...
The National Science Foundation (NSF) awarded a $249,988 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the San Jose State University Research Foundation. The award, titled "LEAPS-MPS: COMMENSURATIONS AND AUTOMORPHISMS OF FREE GROUPS VIA TOPOLOGICAL MODELS", will fund research focused on investigating the partial symmetries of particular groups using new topological models developed by the principal investigator (PI). Additionally, the project will address an open question regarding the symmetry group of free groups, which are fundamental building blocks of groups. The award period is from August 1, 2025 to July 31, 2027 and will incorporate undergraduate and graduate student training, as well as support a regional seminar to connect students and researchers from nearby institutions.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 7/21/25 |