Determines the automorphism groups of zero-dimensional monomial algebras via explicit classification of homogeneous locally nilpotent derivations, extending to semigroup algebras.
Monomial ideals , volume 260 of Graduate Texts in Mathematics
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Gives Poincaré polynomial formula via finite field point counting for codimension one type A Hessenberg varieties, proves reducedness, characterizes irreducibility, and extends prior Schubert variety results.
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The Automorphism groups of zero-dimensional monomial algebras
Determines the automorphism groups of zero-dimensional monomial algebras via explicit classification of homogeneous locally nilpotent derivations, extending to semigroup algebras.
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Hessenberg varieties of codimension one in the flag variety
Gives Poincaré polynomial formula via finite field point counting for codimension one type A Hessenberg varieties, proves reducedness, characterizes irreducibility, and extends prior Schubert variety results.