3 papers
math.CV2026
Two new proofs of Chui's Conjecture in Weighted Bergman Spaces
Georgia Corbett
Chui's conjecture asks whether the average electrostatic field generated by unit point charges on the unit circle is minimized when the charges are equally spaced. Abakumov, Bo…
math.NT2024
Large Values of Newform Dedekind Sums
Georgia Corbett, Matthew P. Young
We study a generalized Dedekind sum attached to newform Eisenstein series . Our work shows the Dedekind sum is rarely substantially larger than…
math.FA2023
Crouzeix's conjecture, compressions of shifts, and classes of nilpotent matrices
Kelly Bickel, Georgia Corbett, Annie Glenning +2
This paper studies the level set Crouzeix conjecture, which is a weak version of Crouzeix's conjecture that applies to finite compressions of the shift. Amongst other results, this…