The National Science Foundation awarded Vanderbilt University a $133,214 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support collaborative research on trace methods and applications for cut-and-paste K-theory from July 1, 2021 to June 30, 2024. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields through support of basic research and related activities. Under this award,...
Vanderbilt University was awarded a $336,065 project grant from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research from June 2021 to May 2024 on geometric methods for singular solutions to nonlinear hyperbolic partial differential equations. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core areas of mathematics and physics. This project aligns with...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program grant in the amount of $291,569 awarded to Vanderbilt University will fund research exploring approximation properties in von Neumann algebras and C*-algebras, particularly relating to group von Neumann algebras and group measure space constructions. The project aims to develop new connections between these areas, allowing C*-algebraic tools to be applied to the study of von Neumann algebras and...
Vanderbilt University was awarded a $550,000 Project Grant from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research characterizing and controlling optical and vibrational dynamics of single-photon emitting defects in hexagonal boron nitride. The research aims to advance fundamental understanding of major problems in materials science by increasing knowledge of properties and behaviors of emerging quantum materials....
This Project Grant award, with a total funding amount of $270,578.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports fundamental research at Vanderbilt University focused on the geometric and spectral structure of group automorphisms and extensions. Specifically, the project investigates three key areas: 1) developing a new theory of geometric finiteness for subgroups of mapping class...
The National Science Foundation Division of Mathematical Sciences awarded Indiana University a $203,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to support research titled "COLLABORATIVE RESEARCH: ALGEBRAIC K-THEORY, ARITHMETIC, AND EQUIVARIANT STABLE HOMOTOPY THEORY" from August 1, 2021 through July 31, 2024. The grant funding will support collaborative research in algebraic K-theory, arithmetic, and equivariant stable homotopy theory being...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $303,150 to Vanderbilt University's Sponsored Programs Administration Division to conduct research on groups acting on hyperbolic spaces and operator algebras. The key objectives include studying the rigidity properties of acylindrically hyperbolic groups, analyzing groups acting on hyperbolic simplicial complexes, and continuing work on automorphisms of von...
This is a $100,000 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant will support research by Virginia Commonwealth University (VCU) to investigate conformal field theories and their applications to the geometry of higher-dimensional algebraic varieties, as well as advancements in the theory of homological blocks for knots and 3-manifolds. The project aims to...
The National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
Vanderbilt University was awarded a $384,575 Project Grant from the National Science Foundation (NSF) Division of Chemistry under the Mathematical and Physical Sciences program (CFDA 47.049) to operate a Research Experiences for Undergraduates (REU) Site in Chemical Biology from May 15, 2021 through April 30, 2024. The REU Site will provide research experiences for undergraduate students in chemical biology, with the goal of promoting progress in mathematical and physical sciences and...