6 citations · 14 across the 17 of their papers we have counts for
21 papers
Partition identities associated with -Surface singularities
Pooneh Afsharijoo, Pedro D. González Pérez, Hussein Mourtada
We prove a family of partition identities involving integer partitions in three colors. The conditions imposed on the types of partitions appearing in these identities involve cons…
Neighborly partitions, hypergraphs and Gordon's identities
Pooneh Afsharijoo, Hussein Mourtada
We prove a family of partition identities which is "dual" to the family of Andrews-Gordon's identities. These identities are inspired by a correspondence between a special type of…
The Nash problem for torus actions of complexity one
David Bourqui, Kevin Langlois, Hussein Mourtada
We solve the equivariant generalized Nash problem for any non-rational normal variety with torus action of complexity one. Namely, we give an explicit combinatorial description of…
Neighborly partitions and the numerators of Rogers-Ramanujan identities
Zahraa Mohsen, Hussein Mourtada
We prove two partition identities which are dual to the Rogers-Ramanujan identities. These identities are inspired by (and proved using) a correspondence between three kinds of obj…
Resolving singularities of curves with one toric morphism
Ana Belén de Felipe, Pedro D. González Pérez, Hussein Mourtada
We give an explicit positive answer, in the case of reduced curve singularities, to a question of B. Teissier about the existence of a toric embedded resolution after reembedding.…
Classification of singularities of cluster algebras of finite type: the case of trivial coefficients
Angelica Benito, Eleonore Faber, Hussein Mourtada +1
We provide a complete classification of the singularities of cluster algebras of finite type with trivial coefficients. Alongside, we develop a constructive desingularization of th…