Shiping Liu (0000-0002-9987-1935)

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Biography

Since October 2016, I am working as a Professor at School of Mathematical Sciences, University of Science and Technology of China (USTC), Hefei, China.

From October 2013 to September 2016, I worked as a Research Associate in Durham University with Prof. Norbert Peyerimhoff, Dr. Alina Vdovina, Dr. Ioannis Ivrissimtzis, and Dr. Stefan Dantchev for the EPSRC funded project "Topology, Geometry and Laplacians of Simplicial Complexes" .

I received my PhD (Dr. rer. nat.) degree from University of Leipzig under the supervision of Prof. Jürgen Jost. I spent my PhD study in Max Planck Institute for Mathematics in the Sciences, Leipzig, financially supported by CAS-MPG Doctoral Promotion Programme and IMPRS MiS. Before that I was a postgraduate student in Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing, under the supervision of Prof. Li Jiayu.

I got my Bachelor's degree of Science from Shandong University, Ji' nan, China.

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University of Science and Technology of China: Hefei, Anhui Province, CN

2016-10-12 to present | Professor (School of Mathematical Sciences)

Employment

Shiping Liu

https://orcid.org/0000-0002-9987-1935

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Biography

Activities

Employment (3)

University of Science and Technology of China: Hefei, Anhui Province, CN

Durham University: Durham, Durham, GB

Max Planck Institute for Mathematics in the Sciences: Leipzig, DE

Education and qualifications (3)

Max Planck Institute for Mathematics in the Sciences: Leipzig, DE

Chinese Academy of Sciences: Beijing, Beijing, CN

Shandong University: Jinan, Shandong, CN

Works (38)

Curvature, Diameter and Signs of Graphs

Bounding the Diameter and Eigenvalues of Amply Regular Graphs via Lin–Lu–Yau Curvature

Nodal domain theorems for $p$-Laplacians on signed graphs

Graph bundles and Ricci‐flatness

Bakry–Émery Curvature Sharpness and Curvature Flow in Finite Weighted Graphs. Implementation

Symmetric matrices, signed graphs, and nodal domain theorems

Rigidity properties of the hypercube via Bakry–Émery curvature

Bakry-Émery curvature on graphs as an eigenvalue problem

The Graph Curvature Calculator and the Curvatures of Cubic Graphs

Erratum for Ricci-flat graphs with girth at least five

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds

Ricci-flat cubic graphs with girth five

Lin-Lu-Yau curvature and diameter of amply regular graphs

A note on eigenvalue bounds for non‐compact manifolds

Curvatures, graph products and Ricci flatness

Signatures, Lifts, and Eigenvalues of Graphs

Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature

Curvature Calculations for Antitrees

Magnetic-Sparseness and Schrödinger Operators on Graphs

Cheeger constants, structural balance, and spectral clustering analysis for signed graphs

Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature

Curvature and Higher Order Buser Inequalities for the Graph Connection Laplacian

Comparative analysis of two discretizations of Ricci curvature for complex networks

Eigenvalue Ratios of Non-Negatively Curved Graphs

Bakry-Émery Curvature Functions on Graphs

Bakry–Émery curvature and diameter bounds on graphs

Ollivier--Ricci Idleness Functions of Graphs

Liouville theorems or f-harmonic maps into Hadamard spaces

The Geometric Meaning of Curvature: Local and Nonlocal Aspects of Ricci Curvature

Spectral classes of regular, random, and empirical graphs

Multi-way dual Cheeger constants and spectral bounds of graphs

Spectral distances on graphs

Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians

Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature

Generalized Ricci curvature and the geometry of graphs

Ollivier’s Ricci Curvature, Local Clustering and Curvature-Dimension Inequalities on Graphs

Ollivier–Ricci curvature and the spectrum of the normalized graph Laplace operator

Gradient estimates for solutions of the heat equation under Ricci flow