Leonhard Summerer

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Fields of interest:
The main focus of my research lies in the area of Diophantine Approximation, in particular applications of methods from the Geometry of Numbers, simultaneous approximation, decomposable forms and automorphism groups.

Selected publications

  • Sums of two powers of linear forms, Acta Arith. 102 (2002), no. 3, 199-221.
  • Decomposable forms and automorphisms, J. Number Theory 99 (2003), no. 2, 232-254.
  • Automorphisms of binary forms, J. of Algebra and Number Theory, to appear.
  • Parametric geometry of numbers and applications, (with W. Schmidt) Acta Arith. 140 (2009), no. 1, 67-91.
  • Diophantine approximation and parametric geometry of numbers,(Schmidt, Wolfgang M.; Summerer, Leonhard), Monatsh. Math. 169 (2013), no. 1, 51–104.
  • Simultaneous approximation to three numbers, (Schmidt, Wolfgang M.; Summerer, Leonhard), Moscow Journal of Combinatorics and Number Theory Vol 3 , iss.1, (2013), 84-107.