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Overview of research interests

• Computer Algebra
  • Gröbner bases, standard bases, SAGBI bases
  • Algorithmic invariant theory
  • Stetter's eigenvalue method
  • robotics
  • Maple
  • symbolic computations relevant to equivariant dynamical systems
• elimination theory
• numeric of dynamical systems
• Resonances in Hamiltonian systems
• equivariant dynamical systems
  • equivariant bifurcation theory
  • exploitation of symmetry in numerical treatment
  • normal forms
  • equivariant chaos
  • orbit space reduction
• Conley index theory
  • times series
• algebraic geometry
  • homotopy methods for sparse polynomial systems
  • sum of squares
  • chemical reaction systems (real solutions of sparse systems)