Teaching
I firmly believe that communication, education and community are fundamental to the healthy progress of science and mathematics.
Courses lectured
| Poisson and Jacobi GeometryEdinburgh Mathematical Physics Group | 2020 |
| Calculus in Affine SpacesSEMF Summer School | 2020 |
| Mathematics for Science and EngineeringUniversity of Edinburgh | 2019–2020 |
| Calculus and its ApplicationsUniversity of Edinburgh | 2019–2020 |
| Several Variable CalculusUniversity of Edinburgh | 2019–2020 |
| Introduction to Linear AlgebraUniversity of Edinburgh | 2019–2020 |
| Introduction to Category TheorySEMF Summer School | 2019 |
University Teacher at the University of Edinburgh School of Mathematics (2019–2021). Associate Fellow of the Higher Education Academy (2021); twice nominated for the Edinburgh Teaching Awards.
A review of the conceptual foundations and history of linear algebra as a mathematical subject, with the aim of identifying common themes and challenges faced in creating a university-level syllabus and teaching plan. The result of this research should prove useful for the teaching of linear algebra in science and engineering, as well as for a more focused approach in purely mathematical degrees.
As part of my ongoing work for SEMF, I am responsible for the teaching coordination and quality assurance of the summer school courses. The planning and organization of the SEMF summer schools was my first contribution to the education effort under the association.
Recordings
Natural Transformations, Equivalence of Categories and Categorical Products
Cartan Calculus on a Smooth Manifold and Geometric Newtonian Mechanics
3D Integration Theorems | Calculus Lecture
Integration Theorems in 3D Euclidean Space
Integration over 3D Shapes: A Conceptual Summary
Geometric Interpretation of Directional Derivatives (University of Edinburgh, 2019–2020)