The Massachusetts Institute of Technology (MIT) was awarded a $120,678.00 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant will fund research focused on the intersection of microlocal analysis and hyperbolic dynamics, with specific goals of understanding the behavior of waves and quantum states in chaotic systems, proving spectral gaps for open systems with...
The National Science Foundation awarded a $432,714 project grant to the Massachusetts Institute of Technology under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund a three-year collaborative research project titled "New Challenges in the Derivation and Dynamics of Quantum Systems" from July 1, 2021 through June 30, 2024. The project aims to promote progress in mathematical and physical sciences by increasing scientific knowledge and enhancing...
This $129,353 federal Project Grant award was provided by the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to the Massachusetts Institute of Technology (MIT) to support research on evolution equations in geometry. The project will investigate topics such as mean curvature flow and new methods for the diffeomorphism group, with applications to Ricci flow. The research aims to advance the understanding of how natural phenomena change over time, with potential...
This $183,897 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the Massachusetts Institute of Technology (MIT) focused on curve counting beyond rational numbers. The project aims to develop new curve-counting invariants and methods to analyze symplectic manifolds, which are crucial mathematical objects for understanding physical phenomena like the movement of planets and particle behavior. The...
This $190,000 postdoctoral research fellowship, awarded by the National Science Foundation (NSF) under its Mathematical and Physical Sciences (CFDA 47.049) program, supports a 4-year research and training project at the Massachusetts Institute of Technology. The project, titled "From Short to Long Time Scales; Randomness and Structure Preservation in Computational Mathematics for Nonlinear Dispersive PDEs," will be conducted under the mentorship of Gigliola Staffilani. The award...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,998 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research on singularities and rigidity in geometric evolution equations. The research focuses on geometric flows, which model the evolution of geometric objects like functions, surfaces, or Riemannian metrics over time using nonlinear generalizations of the classical...
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
The University of Massachusetts Dartmouth (UMass Dartmouth) was awarded a $365,401 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research focusing on developing novel computational methods for efficiently solving problems with conserved physical properties or highly oscillatory wave solutions. Specific areas of research include investigating conservative...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $209,496 Project Grant to the University of Central Florida Board of Trustees Office of Research, doing business as UCF, to conduct research on nonlinear wave interactions and soliton gases in integrable dispersive partial differential equations. The three-year grant, awarded from September 1, 2023 to August 31, 2026, aims to advance the analytical and statistical modeling of soliton gas dynamics, analyze the...
This $231,575 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The overarching goal of the project is to establish stability results for solitons, further study their dynamics, and understand the soliton resolution conjecture for general solutions to dispersive equations. The research will utilize techniques from partial differential equations, harmonic analysis, asymptotic analysis, dynamical...