Katherine Tung

activity

20242026

collaborators

4 papers

math.CO2026

Injectivity of symmetric polynomial maps on partitions

Rohith Thomas, Katherine Tung

Introduced by Ballantine, Beck, and Merca, the elementary symmetric partition function $pre_{k}$ , defined on the set of partitions with at least $k$ parts, has been a topic…

math.CO2025

Multitriangulations on the half-cylinder

Saskia Solotko, Katherine Tung, Mengyuan Yang +1

We prove that the simplicial complex $I^_{C_{n}, 2}$ is pure and a weak pseudomanifold of dimension $2 (n - 1)$ , where $I^_{C_{n}, 2}$ is the simplicial complex associat…

math.CO2024

Postnikov--Stanley polynomials are Lorentzian

Serena An, Katherine Tung, Yuchong Zhang

Postnikov--Stanley polynomials $D_{u}^{w}$ are a generalization of skew dual Schubert polynomials to the setting of arbitrary Weyl groups. We prove that Postnikov--Stanley polynomials…

math.CO2024

Newton polytopes of dual Schubert polynomials

Serena An, Katherine Tung, Yuchong Zhang

The M-convexity of dual Schubert polynomials was first proven by Huh, Matherne, MÃ©szÃ¡ros, and St. Dizier in 2022. We give a full characterization of the supports of dual Schubert…