具有迭代根的四次多项式的轨迹几何

Zeros of Meromorphic function

We introduce and develop the root locus method in mathematics. And we study the distribution of zeros of meromorphic functions by root locus method.

关于有理函数Stirling迭代求根方法的动力学

On the dynamics of Stirling's iterative root-finding method for rational functions

本文研究Stirling迭代求根方法对有理函数和多项式的动力学，证明简单零点为超吸引不动点、外来不动点有理中性、多项式Julia集连通，并证明该方法对Möbius映射的Herman环最多为2个。

有限捕获与受限多项式根的闭包

Semialgebraic interior layers in root closures of bounded-height integer polynomials

本文研究了受限多项式根集的闭包与有限捕获集的关系，通过构造陷阱和围栏定义了有限捕获集，并证明了其连通性领域与非实参数的包含关系。

以集合为中心的多项式族导数的零点分布

Zero distributions of derivatives of polynomial families centering on a set

本文研究以紧集为中心且根渐近分布为 $\mu$ 的高次多项式族，给出使任意阶导数保持同一渐近根分布的条件。

On using symmetric polynomials for constructing root finding methods

We propose an approach to constructing iterative methods for finding polynomial roots simultaneously. One feature of this approach is using the fundamental theorem of symmetric polynomials. Within this framework, we reconstruct many of the existing root finding methods. The new results presented in this paper are some modifications of the Durand-Kerner method.

B. Shapiro猜想12的完全解决

Complete Resolution of B.Shapiro's Conjecture 12

本文完全解决了B. Shapiro关于偶次实多项式的猜想12，通过根轨迹性质将其成立与不成立的情形分别归类为九种和四种，给出了完整分类。