University of Zurich (PhD 2012 - 2016)

• FS 2016 TA Analysis IV
Laplace, Heat, and Wave equations. Initial boundary value problems. Solution formulas. Harmonic functions. Fourier Transforms. Distributions.
• FS 2015 TA Mathematics for Chemists II
Real Vector Spaces, Subspaces, Linear Mappings, Eigenvalues and Eigenvectors, Applications to Several Variable Calculus, Cone-Sections, Linear ODEs of 1st and 2nd order.
• HS 2014 TA Seminar in Functional Analysis
Introduction to Sobolev Spaces on $$\mathbb{R}^n(\Omega)$$ and applications to elliptic boundary value problems.
• FS 2014 TA Functional Analysis
Metric Spaces, Normed Spaces, Hahn-Banach, Uniform boundedness, $$L^p$$ Spaces, Weak Topologies, Reflexive Spaces, Hilbert Spaces, Compact and Fredholm operators, Spectral Theory of self-adjoint compact operators.
• HS 2013 TA Seminar in Dynamical Systems
Quadratic family, Symbolic Dynamics, Structural Stability, Sarkovskii’s Theorem, Bifurcation Theory, Morse-Smale diffeomorphisms, Smale’s Horsehoe, Hyperbolic Toral Automorphisms.
• FS 2013 TA Analysis IV
Wave and Heat equation in 1D, Dirichlet and Neumann Boundary Value Problems, Fourier Series, Harmonic Functions.
• HS 2012 TA Analysis III
Measure Theory, Lebesgue Integration Theory, Introduction to ODEs.
• FS 2012 TA Analysis II
Analysis in $$\mathbb{R}^n$$: Integration of Curves, Differentiation, Inverse- and Implicit Function Theorems, Submanifolds, Green-Gauss Theorem.