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Übungen zur Algebra, WS 10/11 für Prof. G. Nebe

Übungen zur Computeralgebra, SS 10 für Prof. G. Nebe

Übungen zur Linearen Algebra I, SS 09 für Prof. G. Nebe

Übungen zu Gitter und Codes, WS 08/09 für Prof. G. Nebe

• (with David Lorch) One class genera of ternary quadratic forms over number fields, submitted. pdf
  A list of all quaternion orders of type or class number one is available here.
• One-class genera of maximal integral quadratic forms, submitted. pdf
  A list of these genera is available here.
• (with Bettina Eick and Charles R. Leedham-Green) The constructive membership problem for discrete free subgroups of SL(2,R), submitted. pdf Magma code
• (with Charles R. Leedham-Green) Computing with subgroups of the modular group, submitted. pdf Magma code
• (with David Lorch) Single-class genera of positive integral lattices, accepted to LMS J. Comput. Math.
• (with Michael H. Mertens) On an Analogue to the Lucas-Lehmer-Riesel test using Elliptic Curves, INTEGERS 13 (2013), A15. pdf
• A normal form for definite quadratic forms over F_q[t]. Math. Comp. 81 (2012), 1619--1634. pdf
• Finite symplectic matrix groups. Exp. Math. 20 (2011) no. 2, 217--228.
• Finite symplectic matrix groups. Dissertation. RWTH Aachen University, 2009   pdf
  The invariant forms given in the appendix are available here.
• (with John Voight) Algorithmic enumeration of ideal classes for quaternion orders. SIAM J. Comput. (SICOMP) 39 (2010), no. 5, 1714--1747.   corrected
• Konstruktive Idealtheorie in Quaternionenalgebren, Diplomarbeit, Universität Ulm, 2005   ps pdf