–– Current Teaching – DHBW Karlsruhe ––

• Advanced Data Management (Lecture – Summer 2023)

  Data privacy, IT security, cryptography, computer forensics.

• Algorithmen und Datenstrukturen (Lecture – Summer 2023)

  Algorithms, data structures, computational complexity.

–– Online Courses ––

• Introduction to Mathematics (YouTube)

  The basic concepts and methods you need to get you started learning mathematics. Logic and proofs, naive set theory, maps, relations and numbers.

• Linear Algebra in 2D (YouTube)

  A teaser course for Linear Algebra, restricted to two dimensions. Many concepts can be understood quite well in this simple setting.

–– Previous Teaching – DHBW Mannheim ––

• Mathematik 1 (Lineare Algebra) (Lecture – Winter 2019)

  Mathematical foundations, vector spaces, matrix calculus.

• Algorithmen und Komplexität (Lecture – Summer 2019)

  Algorithms, data structures, computational complexity.

–– Previous Teaching – The University of Adelaide ––

• Mathematics IA (Linear Algebra) (Lecture – 2016 Semester 2)

  Linear equations, matrix algebra, linear optimization, eigenvalues.

• Mathematics for Information Technology (Discrete Mathematics) (Lecture – 2014 Semester 2)

  Sets, relations, modular arithmetic, logic, cryptography, recursion, graphs and trees.

–– Previous Teaching – Karlsruhe Institute of Technology ––

• Linear Algebra II for Computer Scientists (Lecture – Summer 2012)

  Matrices and polynomials, canonical forms of matrices, scalar products and hermitian products, isometry groups, self-adjoint endomorphisms, spectral theorem.

• Linear Algebra I for Computer Scientists (Lecture – Winter 2011/12)

  Groups, rings, fields, abstract vector spaces and linear maps, coordinate representation by column vectors and matrices, systems of linear equations, determinants, eigenvalues and eigenvectors.

• Lie Groups and Lie Algebras (Seminar – Winter 2011/12)

  Linear Lie Groups, Lie algebra and exponential maps, Lie's and Engel's theorems, complex semisimple Lie algebras, compact Lie groups.

• Mathematics II for Biologists, Chemists and Geoscientists (Problem Session – Summer 2011)

  Elementary linear algebra and multi-variable calculus: Vectors and matrices, linear equations, cross product, partial derivatives, extremal values, Lagrange multipliers, systems of ordinary differential equations.

• Mathematics I for Biologists, Chemists and Geoscientists (Problem Session – Winter 2010/11)

  Single variable calculus: Sequences and series, limits, continuity, derivatives, Taylor expansion, ordinary differential equations.

• Homogeneous and Symmetric Spaces (Problem Session – Summer 2010)

  Lie groups and Lie algebras as left-invariant vector fields, Lie subgroups, homogeneous manifolds, symmetric spaces, semisimple Lie groups, locally symmetric spaces.

• Algebraic Groups and Arithmetic Groups (Problem Session – Winter 2007/08)

  Linear algebraic groups, arithmetic groups, hyperbolic plane, proper actions, fundamental and Siegel domains, Harish-Chandra's theorem.