Students

• Gustav Zickert, Ph.D. student, KTH, 2015-2020.
• Ivar Eriksson, Lukas Gustafsson, B.Sc., KTH, spring 2018.
  • On the Asymptotic Behaviour of Sums of Two Squares
• Tobias Magnusson, M.Sc., KTH, Winter 2018.
  • Counting Class Numbers
• Samuel Holmin, Ph.D. student, KTH, 2010-2016.
  • Geometry of numbers, class group statistics and free path lengths, PhD thesis, defended 2016-01-15.
  • Missing class groups and class number statistics for imaginary quadratic fields, Exp. Math., to appear..
  • On the free path length distribution for linear motion in an n-dimensional box, submitted.
  • The number of points from a random lattice that lie inside a ball, submitted.
  • Counting nonsingular matrices with primitive row vectors, Monatshefte für Mathematik (short article version.)

• Torbjörn Granlund, Ph.D. student, KTH, 2008-2014. (Co-advised with Johan Håstad.)

• Elchin Hasanalizade, M.Sc., KTH, Winter 2013.
  • The Goldston-Pintz-Yildirim sieve and some applications

• Samuel Holmin, M.Sc., KTH, Summer 2010.
  • Counting nonsingular matrices with primitive row vectors

• Rikard Olofsson, Ph.D. student, KTH, 2004-2008.
  • Local Riemann Hypothesis for complex numbers. IJNT.
  • Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps. CMP.
  • Hecke eigenfunctions of quantized cat maps modulo prime powers. AHP.
  • Properties of the Beurling generalized primes. JNT.
  • Problems in Number Theory related to Mathematical Physics, PhD thesis, defended on December 8, 2008.

• Jens Berlips, M.Sc., KTH, Fall 2006.
  • Elliptic curves in the modern age (3rd millennium)

• Oscar Marmon, M.Sc., Gothenburg University, Spring 2005.
  • Hexagonal Lattice Points on Circles

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