Gastón Burrull

activity

20192026

most citedCombinatorial invariance conjecture for

A_{2}

7 citations · 7 across the 5 of their papers we have counts for

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math.CO2026

Palindromic Poincaré polynomials in $B_{n}$

Gaston Burrull

We describe the set of palindromic Poincaré polynomials in $B_{n}$ . As a key ingredient in this classification, we prove that $A_{n}$ embeds into $B_{n}$ as a lower interval in Bruhat or…

math.CO2025

Shape and class of Bruhat Intervals

Gaston Burrull, Nicolas Libedinsky, Rodrigo Villegas

We study Bruhat intervals in affine Weyl groups by viewing them as regions of alcoves. In type $A_{2}$ we show that each interval coincides with a generalized permutohedr…

math.CO2023

Asymptotic Log-concavity of Dominant Lower Bruhat Intervals via Brunn--Minkowski Inequality

Gaston Burrull, Tao Gui, Hongsheng Hu

Björner and Ekedahl [Ann. of Math. (2), 170.2(2009), pp. 799--817] pioneered the study of length-counting sequences associated with parabolic lower Bruhat intervals in crystallogra…

Palindromic Poincaré polynomials in Bn​

Shape and class of Bruhat Intervals

Asymptotic Log-concavity of Dominant Lower Bruhat Intervals via Brunn--Minkowski Inequality

Palindromic Poincaré polynomials in $B_{n}$