Hongsong Feng's Homepage

I am currently a tenure-track assistant professor in the Department of Mathematics and Statistics, University of North Carolina at Charlotte. Prior to this, I was a postdoc working with Prof. Guo-Wei Wei at the Department of Mathematics of Michigan State University. I received my PhD in Mathematics at University of Alabama in 2021, supervised by Prof. Shan Zhao.

I am actively seeking highly motivated undergraduate and Ph.D. students interested in developing advanced mathematics-based machine learning models to address challenges in biomolecular science. If you are interested, please feel free to contact me by email.

    Research Interests:

My research bridges mathematics, artificial intelligence, and biology. It spans topological data analysis (TDA), geometric data analysis (GDA), machine learning and deep learning, multiscale modeling, and computational mathematics. I focus on developing and applying mathematics-based artificial intelligence methods to address key challenges in the biological sciences. Some of our work involve following aspects.

•  Mathematical AI

Topological/Geometric data analysis, multiscale differential geometry modeling, knot data analysis,      commutative algebra

•  AI-aided drug design and discovery

Topological data analysis, natural language processing models(e.g. Transformer, Autoencoder), drug           design for addiction treatment (cocaine addiction, opioid use disorder)

•  Numerical algorithms for partial differential equations

 PDE with interface conditions, High order finite difference methods, fast Fourier transform (FFT), multigrid methods.

• Single-cell data analysis

Dimensionality reduction