The University of Texas at Austin received a $183,837 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research investigating abstract structures in three and four dimensions using Floer homology to study geometric questions involving knots, surfaces, and manifolds. The Principal Investigator aims to expand the role of symmetry in Floer homology by exploring novel applications of equivariant Floer theory across topological settings. Specific goals include understanding various cobordism and concordance groups, studying exotic phenomena, developing new sliceness obstructions, and investigating the action of satellite operators. The award period is from September 1, 2023 through August 31, 2026. As the prime awardee, UT Austin will conduct the funded research directly.
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