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Research Interests

In general I am interested in high-dimensional phenomena at the crossroads between analysis, geometry and probability theory.

  1. Geometric Functional Analysis
    • Geometry of convex bodies and random convex sets
    • Local theory of Lp spaces
    • Structure of Operator ideals and matrix spaces
    • Geometry of projective tensor products
    • s-Numbers of compact operators
  2. Probability Theory
    • Non-asymptotic theory of random matrices
    • Limit theorems and Large deviations for geometric structures
    • Large deviations for lacunary series
    • Order statistics 
  3. Information-based Complexity
    • High-dimensional numerical integration
    • Dispersion of point sets
    • Random Information in approximation problems


Dipl.-Math. Dr. rer. nat.

Joscha Prochno

Heinrichstraße 36
8010 Graz

Telefon:+43 (0)316 380 - 5177

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