Project Grant 2601214
- The National Science Foundation Division of Mathematical Sciences awarded Michigan State University $270,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study quantum topology and geometric structures in three-dimensional spaces. The research focuses on mathematical classification of three-dimensional manifolds and knotted structures within them, with particular emphasis on connections between quantum field theory and geometric properties. The...
- 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 $300,000 Project Grant was awarded on July 15, 2023 by the National Science Foundation (NSF) Division of Physics under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Southern California (USC). The grant will fund research on quantum walks and quantum cellular automata for quantum information processing. Key aspects that will be explored include: Relationships between quantum walks, relativistic quantum equations (e.g. Dirac equation), and quantum field...
- The National Science Foundation Division of Physics awarded the University of California, Los Angeles $480,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in quantum field theory, quantum gravity, and string theory. The award funds research activities of Professors Eric D'Hoker, Michael Gutperle, and Per Kraus focused on scattering amplitudes—the mathematical structures and methods underlying particle and string collisions. The...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Southern California $250,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop machine learning methods for geometry and topology. The project establishes a systematic framework for applying modern machine learning to open problems in symplectic geometry and low-dimensional topology. Work will organize around three complementary approaches: training...
- The National Science Foundation Division of Mathematical Sciences awarded Rensselaer Polytechnic Institute $269,117 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical foundations and computational methods for simulating quantum materials. The award funds development of a rigorous and scalable framework for high-accuracy electronic-structure simulation of quantum materials using periodic coupled-cluster theory, addressing current...
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $230,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate quantum cluster algebras and monoidal categories. The recipient will conduct foundational research on noncommutative algebraic structures, specifically building canonical bases of quantum cluster algebras at roots of unity and studying their irreducible representations through connections to...
- The National Science Foundation Division of Physics awarded the University of California, Berkeley $150,000 on August 1, 2026, for research activities in string theory under the Mathematical and Physical Sciences program (CFDA 47.049). Professor Mina Aganagic will investigate a six-dimensional quantum theory predicted by string theory, developing a description of the six-dimensional (2,0) superconformal field theory in terms of its self-dual strings and building on her prior work on little...
- The National Science Foundation (NSF) awarded a $400,000 Project Grant to the University of Southern California (USC) Department of Contracts and Grants under the Mathematical and Physical Sciences (CFDA 47.049) program. The 3-year project, titled "Operational Quantum Mereology: An Information Scrambling Approach," aims to develop a unified framework for optimal selection of quantum subsystems. The technical approach will be based on the concept of "information scrambling" to...
- The National Science Foundation Division of Mathematical Sciences awarded $296,354 to the Regents of the University of California, doing business as University of California, Berkeley on July 1, 2026 under the Mathematical and Physical Sciences program (CFDA 47.049). The project develops quantum-inspired relaxation and embedding frameworks for scalable algorithms addressing high-dimensional scientific computing problems in quantum materials, molecular systems, statistical mechanics, imaging, and...
The National Science Foundation Division of Mathematical Sciences awarded the University of Southern California $250,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop topology and representation theory as tools for topological quantum computation. The recipient will pursue representation-theoretic research at the interface of low-dimensional topology, representation theory, and quantum computation across three directions. Work will establish foundations of non-semisimple topological quantum field theories for topological quantum computation, building on recent universality results for Ising anyons as candidates for braiding-based quantum computation. The project will study density of braid group images in noncompact unitary representations and develop mathematical methods for programming topological systems. The research will determine which topological systems can deliver full quantum-computational power and will train graduate students and postdoctoral researchers at the mathematics-physics-quantum-information-science interface. Results will be disseminated through publications, lectures, international workshops, and summer schools to strengthen the national workforce in the mathematical sciences and quantum technology. Performance occurs in Los Angeles, California from August 1, 2026, through July 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 7/24/26 |