Simon Kristensen

  • Ny Munkegade 118, 1530, 416

    8000 Aarhus C

    Denmark

20012024

Research activity per year

Personal profile

Research

I work in Number Theory, and more specifically in Diophantine approximation. In its most simple form, Diophantine approximation is a quantitative study of the rational numbers (the fractions) as a subset of the real numbers. The topic has close ties to other sciences, notably to physics through the phenomenon of resonance, but also to signal processing and wireless communication. As a field of research, it draws on many branches of mathematics, including dynamical systems, analysis and algebra.

Keywords

  • Arithmetic
  • Dynamical systems
  • Ergodic Theory
  • Small denominator problems
  • Number Theory
  • Diophantine approximation
  • Metric number theory

Areas of expertise

  • number theory
  • Diophantine approximation
  • dynamical systems
  • fractal geometry

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