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• Local moves on knots : for beginners
• Four-dimensional space R⁴
• Local moves in higher-dimensional space : for beginners
• Knotted-objects in 4-space and beyond
• Local moves on high-dimensional knots and related invariants
• The Alexander and Jones polynomials of one-dimensional links in R³
• Local moves and knot polynomials in higher dimensions
• Important topics in knot theory.

• Scalar wave scattering by one small body of an arbitrary shape
• Scalar wave scattering by many small bodies of an arbitrary shape
• Creating materials with a desired refraction coefficient
• Wave-focusing materials
• Electromagnetic wave scattering by a single small body of an arbitrary shape
• Many-body scattering problem in the case of small scatterers
• Creating materials with a desired refraction coefficient
• Electromagnetic wave scattering by many nanowires
• Heat transfer in a medium in which many small bodies are embedded
• Quantum-mechanical wave scattering by many potentials with small support
• Some results from the potential theory
• Collocation method
• Some inverse problems related to small scatterers.

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(source: Nielsen Book Data)