Sheng Guo

collaborators

3 papers

math.CO2026

On Unavoidable Faces of High-Dimensional Polytopes

Jesús A. De Loera, Ethan X. Fang, Shengtao Guo +2

Kalai's cube--simplex conjecture asserts that for all positive integers $ℓ, k$ , there is an integer $f (ℓ, k)$ such that every polytope of dimension at least $f (ℓ, k)$ has eit…

math.DG2026

A Metric with Positive Sectional Curvature on $S^{2} \times S^{3}$

Shengtao Guo, Ethan X. Fang, Junwei Lu

We prove that $S^{2} \times S^{3}$ admits a Riemannian metric with positive sectional curvature. We view it as a principal circle bundle over $S^{2} \times S^{2}$ . A diagonal Cheeger deforma…

math.PR2026

Weak-Type Bounds for Convolution on the Boolean Hypercube

Junwei Lu, Shengtao Guo, Ethan X. Fang

Let $G$ be the Boolean hypercube which carries uniform measure $λ$ , and let $T_{μ}$ denote convolution by a finite positive measure $μ$ on $G$ . For $ψ_μ(u)=\sup\{uλ(\{T_μf\geq u\}):f…

On Unavoidable Faces of High-Dimensional Polytopes

A Metric with Positive Sectional Curvature on S2×S3

Weak-Type Bounds for Convolution on the Boolean Hypercube

A Metric with Positive Sectional Curvature on $S^{2} \times S^{3}$