Josef Kallrath

Prof. Dr.
Josef Kallrath

Mathematician · Astrophysicist · Optimization Researcher

Working at the intersection of mathematical optimization, astronomy, and industrial applications. Courtesy Associate Professor at the University of Florida and leading the Applied Optimization Working Group of the German Operations Research Society.

Research Interests

Astronomy

Mathematics

  • Computational Geometry
  • History of Mathematics
  • Game Theory
  • Mathematical Optimization
    • Modeling & Solving Real-World Problems
    • Mixed-Integer Linear & Nonlinear Programming
    • Global Optimization of Non-Convex Problems
    • Decomposition Methods & other Polylithic Approaches
    • Computational Geometry & Optimization
    • Exact-number Arithmetic & Large-number Arithmetic

Current Activities

  • Disk-packing and disk-placement problems within different regions defined by their perimeters
  • High-precision and multi-precision arithmetic and optimization problem solving
  • Minimal-perimeter convex hulls of convex and nonconvex polygons
  • Sample pooling exploiting integer programming problems