75 citations · 180 across the 21 of their papers we have counts for
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On the maximal dimension of an irreducible representation of the symmetric group
Amol Aggarwal, Dor Elboim
We prove that the maximal dimension of an irreducible representation of the symmetric group satisfies $$d_N=\sqrt{N!} \, e^{-(\mathfrak{d}+o(1))\sqrt{N} }, \quad N\to \…
Colored Fermionic Vertex Models and Symmetric Functions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie su…
When Does the Set of -Core Partitions Have a Unique Maximal Element?
Amol Aggarwal
In 2007, Olsson and Stanton gave an explicit form for the largest -core partition, for any relatively prime positive integers and , and asked whether there exists an…
Armstrong's Conjecture for -Core Partitions
Amol Aggarwal
A conjecture of Armstrong states that if , then the average size of an -core partition is . Recently, Stanley and Zanello u…
Correlation Functions of the Schur Process Through Macdonald Difference Operators
Amol Aggarwal
Introduced by Okounkov and Reshetikhin, the Schur process is known to be a determinantal point process, meaning that its correlation functions are minors of a single correlation ke…