Project Grant 2451350

Award Date 7/1/25
Completion Date 6/30/26
Dollars Obligated $120K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Ithaca, NY, USA
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This National Science Foundation (NSF) Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program provides $120,000 in funding to Cornell University to support fundamental research related to set theory and its applications in topology. The key objectives of the research project are:

  1. Classify the simplest non-metrizable compact topological spaces under an additional axiomatic assumption known as PFA. This leverages a novel approach to constructing such spaces as limits of finite structures.

  2. Classify the cofinal types of uniform ultrafilters on the first uncountable cardinal.

  3. Support thesis research of graduate students supervised by the Principal Investigator on topics including analysis of generic extensions, set-theoretic aspects of homological algebra, and the interplay between proof theory and game determinacy.

The grant also provides funding for research visitors and travel to facilitate collaboration and dissemination of results. The award period runs from July 1, 2025 to June 30, 2026.

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