# Teaching

**Current teaching activities**

**2019:**Teaching of the lecture*Advanced Topics in Analysis: Mathematics of Fluid Dynamics (WI4211)*(Delft University of Technology)

The course gives an introduction into the analysis of partial differential equations from fluid mechanics. More information on the lecture can be found in the Study Guide or on Brightspace.

**Past teaching activities**

**2018:**Teaching of the lecture*Ordinary Differential Equations*(Heidelberg University)

The lecture has been held in German. Excercice classes have been organized by Jonathan Fabiszisky. For more information (including lecture notes), please click here!

**2018:**Seminar*Partial Differential Equations from Physics*(Heidelberg University)

The seminar dealt with equations from theoretical and mathematical physics.

List of talks: Manuel Gnann, Measures and Lebesgue spaces; Manuel Gnann, Sobolev spaces; Manuel Gnann, Weak solutions; Tuan Tung Nguyen, Linear hyperbolic systems; Manuel Gnann, The spectrum of operators and continuous functional calculus; Manuel Gnann, Measurable functional calculus and the spectral theorem; Johanna Bimmermann, Schrödinger equation and dynamics of quantum systems; Steffen Schmidt, Dirac equation with Coulomb interaction; Ida Jandl, The Cauchy-Kovalevskaya theorem; Levin Maier, Existence of weak solutions to the Navier-Stokes equations (part 1); Simon Heuveline, Existence of weak solutions to the Navier-Stokes equations (part 2)

**2017/18:**Teaching of the lecture*Partial Differential Equations*(Heidelberg University)**2017/18:**Seminar*Selected Topics in Applied Analysis*(Heidelberg University)

The focus was placed on equations coming from fluid mechanics.

**2015:**Teaching of 2 sections*Calculus I (MATH 115)*(University of Michigan)

**Lecture notes and teaching material (please contact me for more information)**

**2019:***Mathematics of Fluid Dynamics:*lecture notes (Delft University of Technology)**2018:***Ordinary Differential Equations**:*lecture notes (Heidelberg University)**2018:***Partial Differential Equations from Physics:*notes on sobolev spaces and weak solutions (Heidelberg University)**2017/18:***Partial Differential Equations:*(with Hans Knüpfer) lecture notes (Heidelberg University)**2017/18:***Calculus I (MATH 115):*quizzes and exercise sheets

**Past activities as a teaching assistant**

**2010:**Supervision of talks in the seminar*Renormalization Group and Field Theory*of M. Fuchs (University of Konstanz)**2009:**Teaching of exercise sessions for the lecture*Complex Analysis*of J. Saal (University of Konstanz)**2007/08:**Teaching of exercise sessions for the lecture*Theory and Numerics of Partial Differential Equations*of J. Saal (University of Konstanz)**2007/08:**Preparation of notes on the lecture*Advanced Quantum Mechanics and Electrodynamics*of R. Haußmann (University of Konstanz)**2007:**Preparation of notes on the lecture*Brownian Motion and Statistical Mechanics*of M. Fuchs (University of Konstanz)**2006/07:**Teaching of exercise sessions for the lecture*Linear Algebra*of W. Baur (University of Konstanz)