Project Grant 2152498

Award Date 8/1/22
Completion Date 7/31/25
Dollars Obligated $740K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Denver, CO 80217, USA
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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 properties, maximum cuts in graphs with certain properties, and crossing numbers of graphs. The grant will support a focused research group combining expertise at three institutions to further develop flag algebra methods and find connections to traditional approaches like stability analysis. The funding also supports training students and early-career researchers. Outcomes will include new insights into these longstanding open problems in extremal combinatorics.

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