Teaching

Qualification: Durham University Learning and Teaching Award
(currently: University Teaching: Core Skills)

This is a recognised tertiary teaching qualification, which confers associate membership of AdvanceHE (formerly: Higher Education Academy). Successful completion required submitting a portfolio evidencing a number of intended outcomes from the UK Professional Standards Framework, such as knowledge of appropriate teaching methods, the skills to evaluate my teaching, and values of respect for individual learners.

During summer 2014, I successfully completed this module, with the following portfolio.

Universität Hamburg (2020/21)

  1. Mathematik III Semester 2020/21 Exercise classes (1 group, ~20 students) Dr. Ralf Holtkamp - course page: Mathematik III Multivariable calculus, integration on manifolds, differential forms, Fourier transforms, PDE's. For students of Geophysics, Meteorology, Physics and Computing.
  2. Multiple zeta values Winter Semester 2020/21 Exercise classes (1 group, ~15 students) Prof. Dr. Ulf Kühn - course page: multiple zeta values Introduction to theory of multiple zeta values, and their algebraic properties. For late Bachelor's, or Master's students.
Additionally:

Universität Tübingen (2016/17) -- Teach@Tübingen

The Teach@Tübingen fellowship offers international researchers the chance to develop new English-language lecture courses at Universität Tübingen, to aid the university's goal of internationality.

I developed the following two lecture courses, aimed at late Bachelors students, and the associated assessment and learning material.

  1. Surreal numbers Summer Semester 2017 Lecture course (~10 students) Introduction to Conway's system of surreal numbers (containing infinities, infinitesimals, and more), as well as combinatorial games.
  2. Primes of the form \(x^2+ny^2\) Winter Semester 2016/17 Lecture course (~10 students) Elementary number theory, quadratic residues, binary quadratic forms, ending with higher reciprocity ideas.

Durham University (2011--2016) -- PhD studies

As a PhD student, I was a tutor for various modules.

  1. Numerical Analysis 2 2015/16 Computer clases with Dr. Daniel Evans and Dr. David Bourne/Dr. Smita Sahu (2 groups weekly in Michaelmas/Epiphany, each ~15 students) Dr. Djoko Wirosoetisno and Dr. Smita Sahu The computer classes use Python to implement various algorithms from the Numerical Analysis course, in order to numerically solve problems.
  2. Algebra 2 2015/16 Tutorials (3 groups fortnightly, each ~15 students) Dr. Alexander Stasinski and Dr. Herbert Gangl An introduction to abstract algebra, particularly group theory and ring theory.
  3. Algebra 2 2014/15 Tutorials (2 groups fortnightly, each ~15 students) Dr. Jokke Häsä An introduction to abstract algebra, particularly group theory and ring theory.
  4. Analysis 1 2013/14 Tutorials (3 groups weekly, each ~15 students) Prof. Wojtek. J. Zakrzewski The course sets calculus on rigorous foundations using the \(\epsilon\)-\(\delta\) and \(\epsilon\)-\(N\) definitions of a limit.

I was involved with other teaching activities:

I was a grader for a number of modules: