Maths

To get an intuitive feeling for (Co)homology, read below for an informal explanation.

Since Emmy Noether's profound discovery in 1925 that gave us homology als algebraic structure (i.e. as we know it today) (co)homology theories have made their way into most areas of mathematics. Over the past years their power to help understand complex objects is being increasingly recognised by other scientic fields, especially the life sciences, where we are presented with very high complexity. In my current postdoc I am using different (co)homology theories in combination with tools from differential geometry, dynamical systems, and tropical algebra.

 Additionally, I work on theoretical projects. In my  PhD thesis  I looked  into the 2x2 special linear and general linear groups with entries in the integers mod p^n, n>1. This is a big project, and still center of my ongoing research. Here I focus on arguments using spectral sequences, modular representation and invariant theory, and profinite methods.

In 2024 I had the pleasure of spending four weeks at the Isaac Newton Institute satellite programme Topology, Representation Theory, and Higher Structures . Here is a recording of the talk I gave in week three.

Publications

On the modular cohomology of SL_2(Z/p^n) and GL_2(Z/p^n), 06/2025, arxiv  [submitted]

In preparation: The mod 3 cohomology of SL_2(Z/3^n)

In preparation: Differential Invariants [joint with Jonathan Elmer]

 ResearchTalks

11/2025 Algebra Geometry & Quantum Fields Conference, Glasgow

10/2025 Perspectives on the Cohomology of General Linear Groups, University of Muenser (Germany)

06/2025 Groups in the Midlands, University of Lincoln

05/2025 Algebra Seminar, University of Cambridge

03/2025 London Algebra Colloquium, City University London

03/2025 Algebra Seminar, University of Birmingham

12/2024 Transpennine Topology Tetrahedron, University of Sheffield

12/2024 Algebra Seminar, University of Lincoln

11/2024 Algebra Seminar, University of Bristol

07/2024 Trending Aspects in Group Cohomology, University of Lincoln

06/2024 Topology, Representation Theory and Higher Structures, a Newton Institute Satellite Program,

Isle of Skye

10/2023 Linfoot Number Theory Seminar, University of Bristol

09/2023 Algebra Seminar, University of Aberdeen

07/2023 A festival to remember Victor Snaith, Bristol

05/2023 Junior Number Theory Seminar, University of Warwick

05/2023 Algebra Seminar, University of Manchester

04/2023 Women in Number Theory and Geometry, Chesterfield

12/2022 Pure Mathematics Seminar, Royal Holloway University London

03/2022 Junior Algebra Seminar, University of Oxford

11/2021 Junior London Algebra Seminar, Imperial College, London

09/2021 Young Algebraist’s Conference, EPFL Lausanne, Switzerland

Some talks I gave as part of assessed coursework at the University of Goettingen

The experimental search of the Higgs Boson. Seminar for particle physics

Clifford Algebra and Spin Group. Advanced seminar for differential geometry

Tropical Manifolds. Advanced seminar in discrete differential geometry

Tropical Curves. Advanced seminar in discrete differential geometry

Chaotic behavior in continuous and discrete dynamics. Seminar on complex dynamics