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Math Alliance
Dr. Matthias Kawski

Dr. Matthias Kawski

  • Email: kawskiasu.edu
  • Website
  • Biosketch PDF
  • Arizona State University
  • Status: Faculty
  • Department: Math, Stat,
  • Will Mentor: Doctoral students, Pre-doctoral students

Research Interests

Control Theory (Primary)

Bio

Mathematics thrives on the interconnections between different areas. I personally started in differential geometric control theory and recently worked on combinatorial Hopf algebras!

As opposed to classical dynamical systems, which model, analyze, simulate, and "wait" for the next eclipse or crash of an ecosystem, control asks the inverse questions: To which states can we steer a system, and if so, how to do it optimally? Optimal trajectories play the role of geodesics ("straight curves"). As such, nonlinear optimal control is closely related to curvature (differential geometry) and Hamiltonian mechanics. There is much need for creative ways of visualization. Geometry is really applied algebra, and effective computation demands attention to combinatorics.