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Prof Imre Barany
Appointment
  • Visiting Professor
  • Dept of Mathematics
  • Faculty of Maths & Physical Sciences
 
 
Research Summary
My main research interest is convex geometry, which includes classical results like Helly's theorem, or Radon's theorem, then lattice points and random points related to convex bodies. I'm also working in geometry of numbers and its applications in integer programming. A further example is how well a convex body in d-dimensional space can be approximated by polytopes having n vertices. As an application in computer science I showed that every effective or fast algorithm that estimates the volume of convex bodies necessarily makes a huge error. This is the content of my paper, Computing the volume is difficult, a joint work with Z Furedi, that appeared in Discrete and Computational Geometry, 1988.
Academic Background
1982 PhD Doctor of Philosophy To be updated
1971 BSc Bachelor of Science Eotvos Lorand University
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