Project Grant 2604507
- The National Science Foundation Division of Mathematical Sciences awarded Northwestern University $183,022 on March 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in positive and mixed characteristic birational geometry and its connections with commutative algebra and arithmetic geometry. The award funds research centered on algebraic varieties and singularities in arithmetic settings. The principal investigator will develop and apply new...
- The National Science Foundation Division of Mathematical Sciences awarded Northwestern University $248,675 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in algebraic geometry focused on higher singularities and birational geometry in positive and mixed characteristics. The research centers on three main objectives: developing new understanding of Hodge module analogues in positive characteristic and applying results to birational...
- The National Science Foundation (NSF) awarded a Project Grant of $349,929.00 on June 1, 2024 to Northwestern University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports a 3-year research program focused on advancing the structural understanding of measurable and topological dynamical systems. The research aims to gain deeper insights into the interactions among different dynamical properties, using a combinatorial and symbolic approach. The...
- 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 awarded Northwestern University a $355,745 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2021 through May 31, 2024. The grant funds research on combinatorial and algebraic structures in dynamics, advancing the program's goal of strengthening the nation's scientific enterprise through increased understanding of major problems. The university will utilize the three-year funding period to investigate major open...
- The National Science Foundation Division of Mathematical Sciences awarded Northwestern University $157,770 on February 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on random structures in high dimensions—specifically random matrices, random polynomials, and Gibbs point processes. The project identifies predictable behavior in large random structures using tools from probability theory, combinatorics, analysis, and theoretical computer...
- This three-year, $611,884 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on higher categorical structures in algebraic geometry at Northwestern University from September 2022 through August 2025. The project aims to apply recent developments in higher category theory and condensed mathematics to longstanding questions in algebra and algebraic geometry relating to complete noncommutative categorical...
- Federal Project Grant Award Summary Northwestern University's Sponsored Research Division received a $299,998 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 1, 2025 through June 30, 2028. The award supports fundamental mathematical research on random subgroups of semisimple Lie groups, employing probabilistic methods to study deterministic mathematical structures and...
- The National Science Foundation Division of Mathematical Sciences awarded The Washington University $243,100 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop homological and persistence-based tools arising from gauge theory and apply them to fundamental problems in low-dimensional topology, including questions about knots and three-dimensional spaces. The project, titled "Instantons, Knots and Surgery," will advance instanton Floer...
- 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 Mathematical Sciences awarded Northwestern University $175,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop the theory of factorization homology for 3-manifolds with coefficients in rigid braided infinity-categories and to apply that theory to low-dimensional topology, topological quantum field theory, and representation theory. The project develops mathematical constructions that integrate complicated objects over 3-dimensional space to abstract the global observables of anyon systems, with intended applications to the study of knots in 3-dimensional spaces and to symmetries from quantum physics relevant to classifying fundamental particle types and their interactions. Specific research objectives include analyzing moduli spaces of graphs in 3-manifolds, constructing cosheaves on these spaces given rigid braided infinity-categories, proving the tangle hypothesis for singular 1-dimensional tangles, relating this theory to skein modules, and establishing a derived enhancement of conjectured Langlands duality for skein modules. The project also includes organization of workshops directed to early-career researchers and mentoring of postdoctoral researchers and graduate students. Performance occurs at Northwestern University's Evanston, Illinois campus through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $175.0k | 8/5/26 |