Zhiwen Liu

collaborators

2 papers

math.NT2026

Yau's number-theoretic conjecture and sharp spectral bounds for quantum harmonic oscillators

Zhiwen Liu, Stephen S. -T. Yau, Hao Zuo

We prove Yau's number-theoretic conjecture on positive integral points in real right simplices in every dimension $n \geq 3$ , and apply the resulting sharp polynomial bound to quantum…

math.AG2026

Derivations of Generalized Moduli Algebras of Isolated Hypersurface Singularities

Zhiwen Liu, Stephen S. -T. Yau

Let $(V, 0)$ be an isolated complex hypersurface singularity defined by $f \in C {x_{1}, \dots, x_{n}}$ . Let $A (V)$ be the moduli(Tjurina) algebra, let $A^{*} (V)$ be the generalize…