Project Grant 2624912
- This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the anti-Ramsey properties of graphs and solutions to equations. The $249,397 award to Fairfield University aims to study rainbow number properties, which relate to the minimum number of colors needed to guarantee a rainbow arithmetic progression in graphs, integers, or modular arithmetic. The 2-year project (9/1/2024 - 8/31/2026) will employ...
- This National Science Foundation Project Grant award of $251,813 provides funding over three years from September 2023 through August 2026 to support research in combinatorial geometry and Ramsey theory at the University of California, San Diego under the Mathematical and Physical Sciences program (CFDA 47.049). The award will further the foundation's mission to advance the mathematical sciences and strengthen the nation's scientific enterprise. Specifically, the funding will allow the principal...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $201,419 to the Research Foundation of the City University of New York (RFCUNY) on behalf of Bernard M. Baruch College. The award will support research focused on improving quantitative bounds for foundational results in additive combinatorics, number theory, commutative algebra, and algebraic geometry that rely on...
- Federal Project Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $179,999 project grant to The Leland Stanford Junior University effective July 1, 2025, through June 30, 2027, under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports fundamental research in Ramsey theory and extremal combinatorics, with the primary deliverable being advances on longstanding theoretical problems in discrete mathematics. The research...
- This $292,123 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research on structural Ramsey theory, which uses tools from model theory to study mathematical objects across different areas. Specific objectives include extending the contribution of model theory to structural Ramsey theory, applying methods from saturated model theory, pseudofinite model...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to The Trustees of Smith College to support research on combinatorial models in representation theory, geometry, and analysis. The key focus areas of the research project include optimizing and analyzing two types of edge-labeled graphs: webs from knot theory and representation theory, and algebraic splines from applied mathematics. The...
- This $189,451 National Science Foundation project grant supports research at Emory University in the areas of discrete geometry and extremal combinatorics through July 2026. The grantee will investigate several open problems at the intersection of discrete geometry and extremal combinatorics, including Ramsey theory applications to the Erdos-Szekeres problem on large convex polytopes in point sets. The project also aims to further develop incidence geometry by studying classical problems related...
- This National Science Foundation project grant of $740,162 will fund collaborative research on extremal combinatorics and flag algebras from August 2022 through July 2025. The awardee is the University of Colorado Denver under the Mathematical and Physical Sciences program (CFDA 47.049). The research aims to resolve three prominent open questions in extremal combinatorics posed by Erdös, Turán, and Zarankiewicz using flag algebra techniques. The questions concern extremal hypergraph...
- 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...
- Federal Grant Award Summary Carnegie Mellon University received a $180,000 Project Grant from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), awarded August 15, 2025, with completion targeted for July 31, 2028. The project, titled "Algebraic and Geometric Structures in Extremal Combinatorics," focuses on advancing mathematical understanding of discrete structures that possess both geometric and algebraic properties. Research...
CONFERENCE: WORKSHOP ON ANTI-RAMSEY THEORY -THIS AWARD SUPPORTS A COLLABORATIVE RESEARCH WORKSHOP ON ANTI-RAMSEY THEORY, TO BE HELD AT CARNEGIE MELLON UNIVERSITY IN AUGUST 2026. THE WORKSHOP BRINGS TOGETHER UP TO TWENTY RESEARCHERS, INCLUDING FACULTY AT LIBERAL ARTS COLLEGES, POSTDOCTORAL RESEARCHERS, AND GRADUATE STUDENTS, TO MAKE FOCUSED PROGRESS ON OPEN PROBLEMS IN ANTI-RAMSEY THEORY, AN ACTIVE AREA OF COMBINATORICS AND GRAPH THEORY WITH CONNECTIONS TO NUMBER THEORY AND ALGEBRA. IN ANTI-RAMSEY THEORY, WHEN A SYSTEM IS LARGE ENOUGH, NO MATTER HOW ORGANIZED IT MAY LOOK, IT MUST HAVE A SUBSTRUCTURE WITHIN THE SYSTEM THAT IS DISORDERED OR CHAOTIC. THE SPECIFIC FOCUS OF THIS WORKSHOP IS THE STUDY OF RAINBOW NUMBERS OF EQUATIONS AND GRAPHS WHICH HAS BROAD APPLICATIONS WITHIN DISCRETE MATHEMATICS. PARTICIPANTS WILL WORK IN SMALL RESEARCH GROUPS, EACH LED BY ONE OF THE FOUR ORGANIZERS, ON CAREFULLY SELECTED OPEN PROBLEMS THAT ARE BOTH MATHEMATICALLY SIGNIFICANT AND ACCESSIBLE TO RESEARCHERS AT VARIOUS CAREER STAGES. THIS WORKSHOP ADVANCES NSF'S MISSION TO PROMOTE THE PROGRESS OF SCIENCE BY SERVING A COMMUNITY OF MATHEMATICIANS FOR WHOM A WORKSHOP LIKE THIS AND THE FUNDING TO ATTEND WOULD BE ESPECIALLY MEANINGFUL: FACULTY AT TEACHING-INTENSIVE INSTITUTIONS WITH HEAVY COURSE LOADS AND LIMITED RESEARCH SUPPORT, ALONGSIDE EARLY-CAREER MATHEMATICIANS AT CRITICAL POINTS IN THEIR CAREERS. BUILT INTO THE PROGRAM ARE PROFESSIONAL DEVELOPMENT SESSIONS ON MENTORING UNDERGRADUATE RESEARCHERS, PROVIDING PARTICIPANTS THE TOOLS TO BRING ACTIVE RESEARCH PROBLEMS BACK TO THEIR HOME INSTITUTIONS AND ENGAGE THE NEXT GENERATION OF MATHEMATICIANS. RESEARCH OUTCOMES WILL BE DISSEMINATED THROUGH PEER-REVIEWED PUBLICATIONS AND UNDERGRADUATE RESEARCH PROGRAMS AT INSTITUTIONS ACROSS THE COUNTRY. THE WEBSITE FOR THE WORKSHOP IS AT HTTPS://SITES.GOOGLE.COM/VIEW/RAINBOW-WORKSHOP THIS AWARD REFLECTS NSF'S STATUTORY MISSION AND HAS BEEN DEEMED WORTHY OF SUPPORT THROUGH EVALUATION USING THE FOUNDATION'S INTELLECTUAL MERIT AND BROADER IMPACTS REVIEW CRITERIA.- SUBAWARDS ARE NOT PLANNED FOR THIS AWARD.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $36.3k | 6/29/26 |