Mathematics

Mathematics

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


General