Project Grant 2603759
- The National Science Foundation Division of Mathematical Sciences awarded Brown University $303,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support collaborative research on minimal surfaces and hypersurfaces in round spheres. The principal investigators will determine the index and nullity of minimal surface doublings in the round three-sphere and free boundary minimal surface doublings in the unit three-ball, with the goal of characterizing...
- The National Science Foundation Division of Mathematical Sciences awarded Brown University $270,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on minimal surfaces and harmonic maps into singular targets. The project investigates regularity and rigidity questions for harmonic maps and minimal surfaces—geometric objects that minimize energy or area under prescribed constraints. Research focuses on harmonic maps from...
- This National Science Foundation award provides $114,897 to the University of Texas at Dallas under the Mathematical and Physical Sciences program (CFDA 47.049) from August 1, 2022 through July 31, 2025. The principal investigator will conduct research on the existence and properties of minimal surfaces in hyperbolic 3-manifolds. Minimal surfaces are locally area-minimizing geometric objects with applications across various fields including materials science, biology, and low-dimensional...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $104,700 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on differential geometry and minimal surfaces. The project addresses problems in geometric reconstruction: determining the ambient metric on a 4-manifold from its area spectrum, finding infinitely many unstable minimal surfaces in 4-manifolds, and investigating the existence of...
- This $234,951 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into nonlinear partial differential equations and minimal submanifolds in Lagrangian geometry. The project, conducted by the University of North Carolina at Chapel Hill, will generate research opportunities for graduate students and facilitate the mentoring of graduate students and postdocs. The research will focus on two key areas:...
- The National Science Foundation Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill $350,000 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mimetic immersed boundary methods for fluid-structure interaction simulation. The project will create improved computational and mathematical tools to simulate systems where fluids and structures influence each other—applications spanning cardiovascular modeling, medical...
- The National Science Foundation (NSF) awarded a $421,998 Project Grant to the University of Chicago to support research on minimal surfaces, which are important mathematical objects with applications in physics, material science, and other fields. The funding, provided under NSF's Mathematical and Physical Sciences program (CFDA 47.049), will allow the university to study the flexibility and rigidity of minimal surfaces in various geometric spaces. The project aims to deepen the understanding of...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct foundational research on small-scale creation and singularities in fluids and chemotaxis modeling. The project investigates fundamental questions in fluid mechanics, including singularity formation in solutions of two-dimensional incompressible Euler equations, small-scale structure emergence in...
- Federal Project Grant Award Summary North Carolina State University received a $200,000 project grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program, effective September 1, 2025, through August 31, 2028. This award supports fundamental research in optimal control of multiscale interface couplings that integrate partial differential equations (PDEs) with ordinary differential equations (ODEs) to model...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Texas at Austin $149,999 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance the mathematical theory of complex and multiphase media including films, foams, and liquid crystals with applications in foods, pharmaceuticals, water treatment, and soft and bio-inspired materials design. The project characterizes interfacial structures in films and foams that govern...
The National Science Foundation Division of Mathematical Sciences awarded North Carolina State University $160,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study extremal eigenvalue problems and minimal surfaces. The research investigates global existence and uniqueness properties for critical points of functionals governing membrane and interface structures, with applications to mathematical models of soap films, phospholipid vesicles, and black hole event horizons. The investigator and collaborators will employ shape-optimization methods to study non-orientable minimal surfaces embedded in the four-dimensional sphere, constructing examples across topological types and examining the space of such surfaces. The project will continue development of partial differential equation gluing methods for minimal surface construction and will engage graduate and undergraduate students in studying homogeneous solutions to the one-phase Bernoulli problem, with the aim of establishing bounds for solution instability indices based on geometric and topological properties. The period of performance extends from August 1, 2026, through July 31, 2029. Work is performed in Raleigh, North Carolina. No sub-awards are planned for this award.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $160.0k | 7/27/26 |