Sophie C. C. Sun

activity

20182026

most citedBumpless Pipedreams, Reduced Word Tableaux and Stanley Symmetric Functions

4 citations · 4 across the 5 of their papers we have counts for

collaborators

7 papers

math.CO2026

Real-rootedness of the $τ$ -polynomial under graph joins

Mingyang Kang, Zhixin Liu, Sophie C. C. Sun +1

For a simple graph $G$ with $n$ vertices, write its chromatic polynomial in the rising factorial basis as $χ_{G} (x) = i = 0 \sum n (- 1)^{n - i} c_{i} (G) ⟨ x ⟩_{i},$ where $ \lan…

math.CO2026

Constructing Maximal Bumpless Pipedreams for Double Grothendieck Polynomials

Xuanying Han, Sophie C. C. Sun

Pipedreams and bumpless pipedreams are two combinatorial models that compute double Grothendieck polynomials. While studying matrix Schubert varieties, Pechen Pipedreams and marked…

math.CO2023

Upper bounds of dual flagged Weyl characters

Zhuowei Lin, Simon C. Y. Peng, Sophie C. C. Sun

For a subset $D$ of boxes in an $n \times n$ square grid, let $χ_{D} (x)$ denote the dual character of the flagged Weyl module associated to $D$ . It is known that $χ_{D} (x)$ specifie…

math.CO2019

Lattice Points in the Newton Polytopes of Key Polynomials

Neil J. Y. Fan, Peter L. Guo, Simon C. Y. Peng +1

We confirm a conjecture of Monical, Tokcan and Yong on a characterization of the lattice points in the Newton polytopes of key polynomials.

math.CO2018

Identities on Factorial Grothendieck Polynomials

Peter L. Guo, Sophie C. C. Sun

Gustafson and Milne proved an identity on the Schur function indexed by a partition of the form $(λ_{1} - n + k, λ_{2} - n + k, \dots, λ_{k} - n + k)$ . On the other hand, Fehér, Némethi and Rimányi fo…

math.CO2018★ 4 cited

Bumpless Pipedreams, Reduced Word Tableaux and Stanley Symmetric Functions

Neil J. Y. Fan, Peter L. Guo, Sophie C. C. Sun

Lam, Lee and Shimozono introduced the structure of bumpless pipedreams in their study of back stable Schubert calculus. They found that a specific family of bumpless pipedreams, ca…