Xiang Liu

Xiang Liu

Postdoctoral Scholar

Department of Mathematics, Michigan State University

East Lansing, Michigan, USA

Email: liuxia98@msu.edu

Research Interests

My research focuses on mathematical and computational methods for learning from complex structured data. Current topics include:

  • Topological Data Analysis: Persistent homology, hypergraph topology, graph complexes, sheaves
  • Topological Deep Learning: Simplicial neural networks, copresheaf topological neural network, path complex neural networks
  • Mathematical AI: Interpretable and geometry-aware machine learning
  • AI for Science: Molecular representation, protein function prediction, biomedical data, and drug design