Preprints and Publications

  • Labile und relative Reduktionstheorie über Zahlkörpern. Dissertation, Bonn 2001   (pdf)

  • Group schemes over complete curves and canonical parabolic subgroups   (dvi)   (pdf)

  • Diophantine approximation on algebraic varieties I: Algebraic distance and metric Bezout Theorem   (dvi)   (pdf)

  • Diophantine approximation on algebraic varieties II: Explicit estimates for arithemetic Hilbert functions   (dvi)   (pdf)

  • Diophantine approximation on algebraic varieties III: Approximation on non-algebraic points by algebraic poins   (dvi)   (pdf)

  • Diophantine approximation on algebraic varieties IV: Derivated algebraic distance and derivative metric Bezout Theorem   (dvi)   (pdf)

  • Diophantine approximation on algebraic varieties V: Algebraic independence criteria   (dvi)   (pdf)

    • In Preparation

  • Algebraic independence of values of K-functions
  • Mahler classifacation for points on algebraic varieties
  • Intersections of subvarieties of tori with algebraic subgroups
  • Liouville Inequality for algebraic varieties
  • Algebraic independence of values of exponentials
  • Arithemtic Regularity and arithemtic Hilbert functions