Project Grant 2603448
- The National Science Foundation (NSF), through its Integrative Activities program (CFDA 47.083), has awarded a $153,804 project grant to New Mexico State University (NMSU) for the period of July 1, 2023 to June 30, 2026. The grant will fund research by NMSU to advance equivariant homotopy theory, a field that studies the symmetries of geometric shapes. Key objectives include developing generalized Steenrod operations and equivariant analogs of Stiefel-Whitney classes, which have applications...
- The National Science Foundation Division of Mathematical Sciences awarded Montana State University $195,993 on September 1, 2026, for collaborative research developing factorization homology, a mathematical construction that integrates complicated objects over three-dimensional space with applications to knot theory, topological quantum field theory, and representation theory. The project, funded under the Mathematical and Physical Sciences program (CFDA 47.049), advances the theory of...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Alabama $179,974 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new algebraic and geometric tools for studying singular points in symmetric objects across three interconnected research components. The first component will develop algebraic complexes to compute the cohomology of toric vector bundles and prove sharp vanishing theorems, with applications to...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Texas at Austin $200,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support fundamental research in symmetries and equivariance in Floer homology and homotopy topology. The investigator will develop tools from topological quantum field theories to study knots, surfaces, and higher-dimensional manifolds. Specific research activities include employing...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $153,765 Project Grant to Wayne State University from August 1, 2023 to July 31, 2026. This award, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports research focused on applications of equivariant stable homotopy theory - a central part of algebraic topology involving the study of topological objects and generalized cohomology theories. The principal investigator will continue...
- The National Science Foundation Division of Mathematical Sciences awarded $350,000 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Regents of the University of Minnesota for a project grant titled "Modern Homotopical Obstruction Theory." The grant supports research into developing a modern, reusable library of obstruction theory techniques that can be applied across algebraic topology, algebraic geometry, and geometric topology. The Principal...
- The National Science Foundation Division of Mathematical Sciences awarded $245,971 to the University of Washington on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on periodicities and symmetries in stable homotopy theory. The award funds development of new computational and algebraic methods to study higher-dimensional patterns in spheres and their algebraic structures, with emphasis on higher real K-theories, real bordism theories,...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded The University Corporation $126,819 on December 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research into the topology and dynamics of four-dimensional symplectic manifolds. The project, performed in Northridge, California, investigates how properties of four-dimensional manifolds and their symmetries can be understood through two-dimensional information,...
- This federal Project Grant award, funded by the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), seeks to advance the understanding of semigroups within the framework of operator algebras, an important area of mathematical analysis. The $254,546 award, effective from September 1, 2024 to August 31, 2027, will support research to develop new theories and methods for studying semigroups and their...
- The University of New Mexico was awarded a $119,972 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to support research in numerical methods in noncommutative matrix analysis through June 30, 2024. The grant supports research to advance the mathematical and physical sciences through increasing understanding of major problems in numerical methods for noncommutative matrix analysis. Specifically, the funding will allow researchers at the...
The National Science Foundation Division of Mathematical Sciences awarded New Mexico State University $192,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new equivariant homotopy theoretic tools for studying symmetries in geometric shapes through algebraic topology. The project expands the framework of Eulerian sequences—introduced under prior NSF support (DMS-2305016)—to construct equivariant Araki-Kudo-Dyer-Lashof operations on the homology of genuine equivariant infinite loop spaces. Research activities include rigorous study of the algebraic structure of Eulerian sequences, their multiplication and comultiplication properties, abstract Adem relations, and computational methods to identify Eulerian sequences in both equivariant and non-equivariant settings. The project also establishes an equivariant analog of orthogonal calculus to bridge stable approximations and unstable geometric realities. Beyond research, the award advances STEM workforce development through extensive high school outreach and regional mathematics competitions in the Southwest. Performance occurs in Las Cruces, New Mexico, with a period of performance from September 1, 2026, through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $192.0k | 7/22/26 |