Mathematics

Die Mathematik ist die Königin der Wissenschaften und die Zahlentheorie ist die Königin der Mathematik.
--- Johann Carl Friedrich Gauß
Lattices and Genera
- Extremal lattices in $II_{20}(5^{+10})$ --- M. Jürgens, G. Bellot (2015)
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
- Bilinear Forms over Rings
- Bilinear Forms over Free Modules
- Orthogonal Decompositions
- Introduction to Quadratic Forms
- Primitive Modules
- Hyperbolic Forms
- A Theorem of Witt
Mathematical Physics
Algebraic Number Theory
- Introduction to $p$-adic numbers --- G. Bellot (2015)
Dynamical Systems
- Entropie und Ergodizität (Einführung) --- G. Bellot (2014)
- Das $\lambda$-Lemma --- G. Bellot (2007)
Differential Topology
- Der Zerlegungssatz von Jordan-Brouwer --- G. Bellot (2005)
Information and Coding Theory
General
- A Mathematician's Lament --- P. Lockhart
- Why everyone should know number theory --- K. Minhyong
- Zweitkorrektur --- F. Lemmermeyer