This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) will support collaborative computational research to address extremal eigenvalue problems with geometric constraints. The $147,731 award to Claremont McKenna College will develop and analyze new methods for solving challenging eigenvalue optimization problems, which have applications in areas like light propagation, mechanical vibrations, and liquid...
The National Science Foundation (NSF) has awarded a $100,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to Michigan Technological University. The grant will fund the development of novel finite element methods for solving nonlinear eigenvalue problems, which have important applications in science and engineering. The project focuses on recasting these problems as eigenvalue problems of holomorphic Fredholm operator functions, and developing effective...
The National Science Foundation (NSF) awarded a $230,111 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Utah's Office of Sponsored Projects Division. This 3-year grant, effective from July 1, 2024 to June 30, 2027, supports two scientific research threads: (1) fundamental research on liquid crystals, their suspensions, and related applications; and (2) investigations of extreme wave phenomena in photonic devices, with a focus on epsilon near...
This $299,996 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical research by a team at Utah State University. The project aims to develop new algebraic and geometric tools to formalize and advance the mathematical theory underlying quantum physics, particularly in low-dimensional topology and the theory of quantum invariants. The key products and...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program, with CFDA number 47.049, will support research at Utah State University (USU) in the field of algebra and representation theory with connections to theoretical physics. The total award amount is $281,548.00 and the performance period runs from September 1, 2025 to August 31, 2030. The research will focus on three related projects that aim to advance the mathematical understanding...
This National Science Foundation (NSF) Project Grant award for $155,000 supports research and education activities at Utah State University in the field of representation theory and its applications to theoretical physics. The project, which runs from September 1, 2023 to August 31, 2026, involves three related research initiatives: Developing a theory of real equivariant matrix factorizations and applying it to study Landau-Ginzburg orientifolds. Extending prior work on the representation...
The National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences awarded a $250,000 Project Grant to the California State University Long Beach Research Foundation. The grant, under CFDA Program 47.049 - Mathematical and Physical Sciences, will support a research project investigating the spectral geometry of Steklov eigenvalues. Specifically, the project will study generic properties of Steklov eigenvalues and eigenfunctions, investigate domain perturbations and...
This $207,485 federal Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research into the classification and analysis of dynamical systems and group actions at the University of Utah. The project aims to study the concept of "conjugacy" in dynamical systems, exploring generalizations and extensions to better understand the mathematical properties that define equivalence between such systems. This work will...
The National Science Foundation (NSF) awarded a $285,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Utah to conduct research on hyperbolic geometry in two- and three-dimensional spaces. The project, running from August 1, 2024 to July 31, 2027, will focus on studying the geometry of hyperbolic 3-manifolds, including investigating the renormalized volume of such manifolds and the connection to the Weil-Petersson gradient flow. The...
This three-year, $245,379 National Science Foundation Project Grant in the Mathematical and Physical Sciences program (CFDA 47.049) will support research in the area of algebraic geometry being conducted by the University of Utah. Specifically, the principal investigator will apply techniques from differential geometry to construct moduli spaces parametrizing classes of algebraic varieties beyond the current state of knowledge in Fano varieties. This will include building moduli of both...