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math.CO2022
q,t-Catalan measures
Ian Cavey
We introduce the -Catalan measures, a sequence of piece-wise polynomial measures on . These measures are defined in terms of suitable area, dinv, and bounce stat…
math.AG2022
Effective divisors and Newton-Okounkov bodies of Hilbert schemes of points on toric surfaces
Ian Cavey
We compute the (unbounded) Newton-Okounkov body of the Hilbert scheme of points on . We obtain an upper bound for the Newton-Okounkov body of the Hilbert scheme of poi…