Rung-Tzung Huang

activity

20062026

most citedThe refined analytic torsion and a well-posed boundary condition for the odd signature operator

9 citations · 28 across the 19 of their papers we have counts for

collaborators

20 papers

math.CV2026

Quantization Commutes with Reduction for Embeddable CR Reductions

Chin-Yu Hsiao, Rung-Tzung Huang, Xiaonan Ma +1

We prove a canonical quantization-commutes-with-reduction theorem for CR functions. Under the geometric hypotheses of Hsiao--Ma--Marinescu, if the zero moment level is nonempty and…

math.DG2025

Heat kernel asymptotics and analytic torsion on non-degenerate CR manifolds

Chin-Yu Hsiao, Rung-Tzung Huang, Guokuan Shao

The existence of small-time asymptotics for the heat kernel of the Kohn Laplacian on a general CR manifold has remained an open problem. In this paper, we resolve the problem in th…

math.NA2023

Reducing operator complexity in Algebraic Multigrid with Machine Learning Approaches

Ru Huang, Kai Chang, Huan He +2

We propose a data-driven and machine-learning-based approach to compute non-Galerkin coarse-grid operators in algebraic multigrid (AMG) methods, addressing the well-known issue of…

math.CV2023

$G$ -invariant Bergman kernel and geometric quantization on complex manifolds with boundary

Chin-Yu Hsiao, Rung-Tzung Huang, Xiaoshan Li +1

Let $M$ be a complex manifold with boundary $X$ , which admits a holomorphic Lie group $G$ -action preserving $X$ . We establish a full asymptotic expansion for the $G$ -invariant Berg…

math.CV2020

Asymptotics of G-equivariant Szegő kernels

Rung-Tzung Huang, Guokuan Shao

Let $(X, T^{1, 0} X)$ be a compact connected orientable CR manifold of dimension $2 n + 1$ with non-degenerate Levi curvature. Assume that $X$ admits a connected compact Lie group $G$ a…