Hongsong Feng

Assistant Professor | Department of Mathematics and Statistics, UNC Charlotte
Office: Fretwell 335G, Charlotte, NC
Contact: hfeng2[at]charlotte[dot]edu | Google Scholar

Hongsong Feng I am an Assistant Professor in the Department of Mathematics and Statistics at the University of North Carolina at Charlotte. Before joining UNC Charlotte, I worked with Prof. Guo-Wei Wei in the Department of Mathematics at Michigan State University. I received my Ph.D. in Mathematics from the University of Alabama in 2021, supervised by Prof. Shan Zhao.

My research bridges mathematics, artificial intelligence, and biology. I develop mathematical and computational methods, including topological and geometric data analysis and machine learning, to study biomolecular structures and interactions and address challenges in drug discovery.

I welcome inquiries from motivated graduate and undergraduate students interested in developing mathematics-based machine learning models for biomolecular science. Please feel free to contact me by email.

Research Interests

  • Mathematical Artificial Intelligence and Data Science
    • Topological and geometric data analysis: Persistent combinatorial Laplacians, persistent sheaf Laplacian, persistent local Laplacian, persistent directed flag Laplacian, persistent homology, and geometric representations of data
    • Mathematical representations: Commutative algebra, knot data analysis, and multiscale differential geometry
    • Machine learning: Mathematics-based feature engineering, machine learning, and deep learning
  • Mathematical Modeling of Biomolecules
    • Molecular interactions: Protein–ligand binding affinity and protein–protein interactions
    • Drug discovery: Mathematics-based AI for molecular screening and design
    • Biological data: Geometric methods for single-cell data analysis
  • Numerical Methods for Partial Differential Equations
    • Computational mathematics: Interface problems, high-order finite differences, FFT, and multigrid methods