Travis Scrimshaw

activity

20182026

most citedRefined dual Grothendieck polynomials, integrability, and the Schur measure

11 citations · 14 across the 7 of their papers we have counts for

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math.RT2026

Square root crystals and the square root of $B (\infty)$

Eric Marberg, Travis Scrimshaw

We introduce a general monoidal category of $N$ -root crystals and then study the special case of square root $gl_{n}$ -crystals. The latter objects include Yu's cr…

math.RT2019

Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes

Rekha Biswal, Travis Scrimshaw

We show that the Kirillov--Reshetikhin crystal $B^{r, s}$ exists when $r$ is a node such that the Kirillov--Reshetikhin module $W^{r, s}$ has a multiplicity free classical decomposit…

math.RT2018

Categorical relations between Langlands dual quantum affine algebras: Exceptional cases

Se-jin Oh, Travis Scrimshaw

We first compute the denominator formulas for quantum affine algebras of all exceptional types. Then we prove the isomorphisms among Grothendieck rings of categories $C_{Q}^{(t)}$ $(…

Square root crystals and the square root of B(∞)

Existence of Kirillov--Reshetikhin crystals for multiplicity free nodes

Categorical relations between Langlands dual quantum affine algebras: Exceptional cases

Square root crystals and the square root of $B (\infty)$