ProfessorMauricio Barahona

Overview


Broadly interested in applied mathematics in biological, physical and engineering systems

Dynamics of networks of interconnected nonlinear systems: graph theory and dynamics. Algebraic graph theory.
Data analysis: geometric dimensionality reduction and graph clustering.
Stochastic dynamics and optimization
Multiscale dynamics and model reduction of bio-systems: analysis of biomolecules and biomolecular assemblies
Social network analysis: Text and information flows.
Theory of synchronization: Coupled oscillators in biology and engineering, flocking phenomena
Algorithms for nonlinear signal analysis: Nonlinear detection, network reconstruction
Mathematical and computational biology: metabolic and genetic networks (deterministic and stochastic)
Network analysis for robust infrastructure
Applied PDEs in biology: nonlinear wave propagation in the arterial tree, chemotaxis.