Johnathan Bush

Johnathan Bush is an Assistant Professor in Applied Mathematics at the Department of Mathematics & Statistics, James Madison University (JMU), joining in 2024. His research focuses on topological data analysis (TDA), applied and computational topology, metric geometry, and combinatorial topology. He integrates tools from topology, geometry, and machine learning to address interdisciplinary problems in neuroscience and chemistry.

Education:

• Ph.D. in Mathematics, Colorado State University (2021)
• M.S. in Mathematics, Colorado State University (2018)
• B.A. in Mathematics, University of Montana (2016)

Research Interests:

• Topological Data Analysis (TDA)
• Applied and Computational Topology
• Metric Geometry and Geometric Topology
• Combinatorial Topology
• Interdisciplinary Applications in Neuroscience and Chemistry
• Development of Theoretical Tools in TDA

His work bridges pure and applied mathematics, advancing frameworks for analyzing complex data through topological and geometric lenses. Notable contributions include studies on Vietoris-Rips complexes, metric thickenings, and topological feature selection in time series analysis.