Analytic and Algebraic Methods in Discrete Geometry

Project: Research project

Project Details

Description

The PI plans to further expand the results on the maximum cardinality of a spherical two-distance set to more parameters a and . To do that, the PI will investigate the forbidden subgraph characterization of signed graphs with bounded largest eigenvalues. This direction in the context of equiangular lines (that is a + = 0) was previously explored by the PI and Polyanskii.

After this project, the PI plans to come back to complex equiangular lines (mentioned in Section 3.5 of PD), and explore possible ways to attack Zauners conjecture on the maximum cardinality of the complex equiangular lines.
1
StatusActive
Effective start/end date1/1/215/31/23

Funding

  • National Science Foundation (NSF): $114,695.00

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