Crouzeix’s Conjecture for Nilpotent Matrices

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Presented our research on Crouzeix’s conjecture for classes of nilpotent matrices at the Joint Mathematics Meetings 2023. The work, joint with Kelly Bickel, Georgia Corbett, Annie Glenning, and Martin Vollmayr-Lee, establishes the level set Crouzeix conjecture for several classes of matrices associated to compressions of the shift and was later published in Concrete Operators.