Kostka, Littlewood-Richardson, Kronecker, and plethysm coefficients are fundamental
quantities in algebraic combinatorics, yet many natural questions about them stay …

Algebraic Combinatorics originated in Algebra and Representation Theory, studying their
discrete objects and integral quantities via combinatorial methods which have since …

We present both upper and lower bounds for the Kronecker coefficients and the reduced
Kronecker coefficients, in term of the number of certain contingency tables. Various …

We determine the asymptotics of the number of independent sets of size in the discrete
hypercube for any fixed as, extending a result of Galvin for. Moreover, we prove a …

We study matrix integration over the classical Lie groups U (N), Sp (2N), SO (2N) and SO
(2N+ 1), using symmetric function theory and the equivalent formulation in terms of …

We resolve two open problems on Kronecker coefficients g (λ, μ, ν) of the symmetric group.
First, we prove that for partitions λ, μ, ν with fixed Durfee square size, the Kronecker …

The observed fractional quantum Hall (FQH) plateaus follow a recurring hierarchical
structure that allows an understanding of complex states based on simpler ones …

We derive asymptotic formulas for the number of integer partitions with given sums of $ j $ th
powers of the parts for $ j $ belonging to a finite, non-empty set $ J\subset\mathbb N $. The …

We consider the following computational problem: Given a rooted tree and a ranking of its
leaves, what is the minimum number of inversions of the leaves that can be attained by …

We review the relationship between discrete groups of symmetries of Euclidean three-
space, constructions in algebraic geometry around Kleinian singularities including versions …