Project Grant 2301520
- This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research by a principal investigator (PI) at Northwestern University to investigate the field of algebraic topology. The research focuses on the ubiquitous phenomenon of "evenness" at the intersection of algebraic topology, arithmetic geometry, and representation theory. Key objectives include studying the prismatization of commutative ring...
- This $217,000 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences supports research on computational structures in equivariant chromatic homotopy theory, with a focus on developing new techniques to advance computations related to Lubin-Tate theories and the study of homotopy groups of spheres. The award funds a range of projects that leverage recent discoveries in equivariant homotopy theory to drive progress in chromatic homotopy theory and...
- This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) project grant award of $106,619 to Case Western Reserve University supports fundamental research in classical and motivic stable homotopy theory, a field of algebraic topology. The key projects involve computing homotopy groups of spheres, including leveraging computer calculations to overcome technical challenges, as well as exploring analogues of these groups in algebraic geometry through motivic homotopy...
- The National Science Foundation (NSF) awarded a $200,000 Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to Purdue University. The award, running from September 1, 2025 to August 31, 2028, supports fundamental research in algebraic topology and number theory. Key objectives include establishing homological stability and studying its applications across diverse mathematical domains such as moduli spaces, classifying spaces of arithmetic groups, and graph theory....
- 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 (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...
- 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 (NSF) Division of Mathematical Sciences awarded a 3-year, $252,262 Project Grant to the University of Illinois to advance research in motivic homotopy theory. The project aims to develop tools for studying normed motivic spectra and computations of equivariant motivic invariants, with a focus on geometric applications. Broader impacts include work with incarcerated individuals and training of undergraduate and graduate students. This award supports NSF's mission...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $150,000.00 to the University of Chicago to support research on two aspects of topology - the qualitative nature of topology and the difficulty of reducing topological problems to algebra. The project aims to use analytic methods, particularly square integrable cohomology and representation theory of semisimple Lie groups, to study problems related to the number...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
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 ongoing work on equivariant complex cobordism spectra, equivariant formal group laws, and applications of the recently calculated equivariant Steenrod algebra. This includes efforts to construct odd-primary versions of the real Brown-Peterson spectrum and investigate equivariant elliptic and Barsotti-Tate cohomologies. The project also involves calculations of self-conjugate and double-real cobordism spectra. The broader impacts include mentoring of graduate and undergraduate students, as well as outreach to make the research area accessible to the public.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $153.8k | 7/17/23 |