Project Grant 2154160
- The National Science Foundation Division of Mathematical Sciences awarded a $210,000 Project Grant to Carnegie Mellon University from June 1, 2021 to May 31, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on discrete random and pseudorandom structures. The Mathematical and Physical Sciences program aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing scientific knowledge and enhancing...
- The National Science Foundation (NSF) awarded a $270,000 Project Grant to Carnegie Mellon University under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The 3-year grant, effective August 1, 2024, will support research to study the properties of random graphs and networks, including computational problems and algorithms associated with such complex structures. The principal investigator will examine topics such as matchings, Hamilton cycles, and spanning trees in...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) will explore new ways to address complex mathematical problems by integrating advanced machine learning techniques with automated reasoning. The $418,035 grant awarded to Carnegie Mellon University will support a collaborative research effort between mathematicians and computer scientists to develop and evaluate new algorithms for solving three specific open...
- This federal Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $180,000.00 to Carnegie Mellon University to support research into algebraic and geometric structures in extremal combinatorics. The project aims to better understand discrete mathematical structures, such as networks, matrices, and arrangements of convex sets, that possess non-trivial algebro-geometric properties. The research will focus on algebraic and geometric...
- The National Science Foundation awarded a $179,999 project grant to Carnegie Mellon University on June 1, 2021 for work completing May 31, 2024. The grant supports research titled "Forcing, Large Cardinals, and Infinitary Combinatorics" under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research exploring forcing techniques, large cardinal axioms, and infinitary combinatorics over the three year period. The NSF Mathematical and Physical Sciences...
- Carnegie Mellon University was awarded a $303,034 Project Grant from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to complete the project by June 30, 2024. The grant funds NEW APPROACHES TO QUESTIONS IN SAMPLING, COUNTING, AND OPTIMIZATION under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to promote progress in mathematical and physical sciences to strengthen the nation's scientific enterprise. The grant will support...
- Carnegie Mellon University was awarded a $250,000 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to complete work by June 30, 2024. The grant supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise through increasing knowledge and enhancing understanding of major problems. Specifically, the university will conduct...
- This $118,647 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049, Mathematical and Physical Sciences) supports fundamental research in descriptive set theory and its connections to other mathematical fields, including computability, operator algebras, topological dynamics, and ergodic theory. The award will fund research on questions related to amenability and hyperfiniteness, as well as investigations into classical geometrical paradoxes...
- This Project Grant award of $154,989, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by Carnegie Mellon University (CMU) on positive vector bundles in combinatorics, with a focus on matroids and their applications. The research aims to deepen the interaction between combinatorics and algebraic geometry, addressing long-standing conjectures in matroid theory and exploring implications for areas such as...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $205,601 to the University of Massachusetts for research related to enumerative, algebraic, and asymptotic combinatorics with connections to representation theory and geometry. Specifically, the award supports three research projects that will study problems in graph colorings, Schubert polynomials, and integer flows on graphs...
The National Science Foundation Division of Mathematical Sciences awarded $244,323 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Carnegie Mellon University from July 1, 2022 to June 30, 2025. The award will support research applying descriptive set-theoretic methods to examine the structure of definable graphs, which often arise in topological dynamics, ergodic theory, and have interactions with finite combinatorics, graph limits, probability, and geometric group theory. Specifically, the project will investigate definable chromatic numbers of graphs, identifying when matchings and circulations can be found, and characterizing when graphs admit useful acyclic subgraphs. The funding will also support exploring applications of these ideas towards finding tilings of group actions and understanding the equidecomposability relation arising from such actions. The work incorporates training undergraduate and graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $244.3k | 4/22/22 |