10 citations · 19 across the 10 of their papers we have counts for
16 papers
Betti Tables and the Licci Property
Adam Boocher
We show that the licci property of an ideal cannot, in general, be determined from its Betti table by exhibiting two -primary monomial ideals containing the cubes the…
Arithmetic in the Boij Söderberg Cone
Adam Boocher, Noah Huang, Harrison Wolf
We study two long-standing conjectures concerning lower bounds for the Betti numbers of a graded module over a polynomial ring. We prove new cases of these conjectures in codimensi…
Lower bounds on Betti numbers
Adam Boocher, Eloísa Grifo
We survey recent results on bounds for Betti numbers of modules over polynomial rings, with an emphasis on lower bounds. Along the way, we give a gentle introduction to free resolu…
Large lower bounds for the betti numbers of graded modules with low regularity
Adam Boocher, Derrick Wigglesworth
Suppose that is a finitely-generated graded module of codimension over a polynomial ring and that the regularity of is at most where is the minim…
Lower Bounds for Betti Numbers of Monomial Ideals
Adam Boocher, James Seiner
Let I be a monomial ideal of height c in a polynomial ring S over a field k. If I is not generated by a regular sequence, then we show that the sum of the betti numbers of S/I is a…
Koszul Algebras Defined by Three Relations
Adam Boocher, S. Hamid Hassanzadeh, Srikanth B. Iyengar
This work concerns commutative algebras of the form , where is a standard graded polynomial ring and is a homogenous ideal in . It has been proposed that when …