- A brief note on a basic but useful fact about relative Borel-Moore homology. (January 2023)
- Notes (in five parts: 1, 2, 3, 4, 5, combined) from a set of talks at the GeMAT seminar, on moduli spaces of high-dimensional discs (after Watanabe, Weiss, Kupers and Randal-Williams). (May/June 2021)
- Notes from a talk that I gave at a reading seminar at Oxford on Signature invariants related to the unknotting number, following the paper (arxiv:1710.10530) of C. Livingston (February 2021)
- Notes from a talk that I gave at the Topology advanced class at Oxford on Manifold calculus and exotic Pontrjagin classes, following the paper (arxiv:1507.00153) of M. Weiss (December 2020)
- Notes (in five parts: 1, 2, 3, 4, 5), slightly expanded from those below, from a set of talks at the e-GeMAT seminar, also following the same preprint of T. Watanabe. (June/July 2020)
- Notes (in four parts: 1, 2, 3, 4) from a set of talks at a reading seminar at Oxford on Kontsevich characteristic classes of 4-dimensional disc bundles, following a recent preprint (arxiv:1812.02448) of T. Watanabe. (May/June 2020)
- A brief note on Assertion 6 in Milnor's book on the h-cobordism theorem, which arose during a seminar that I organised in the summer semester 2018 in Bonn. (June 2018)
- A pair of short notes about the derived series of the group of unitriangular matrices over the integers and of the group of invertible upper triangular matrices over the integers, which arose from an algebra course that I was an assistant for. (November 2017)
- Some informal notes containing a brief description of Ruth Lawrence's construction of representations of surface braid groups. (March 2017)
- A brief note on gluing topological spaces via attaching maps that are homotopic. (February 2017)
- Notes from a talk that I gave at a reading seminar in Münster on Functor Calculus. (February 2015)
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