Die Mathematik ist die Königin der Wissenschaften und die Zahlentheorie ist die Königin der Mathematik.

--- Johann Carl Friedrich Gauß

Lattices and Genera

Computational (Algebraic) Number Theory

  • hn++ (wip) - algebraic number theory library, written in C++, with a focus on algorithms for lattices over imaginary quadratic number fields - based on the work of A. Schiemann and B. Hemkemeier.
  • MagmaNeighbours - modified version of Boris Hemkemeier's Two-Neighbours algorithm, implemented in MAGMA.

Mathematics for Games

Arithmetic Theory of Quadratic Forms

Introduction to Bilinear and Quadratic Forms

Mathematical Physics

Algebraic Number Theory

Dynamical Systems

Differential Topology

Information and Coding Theory