David Beers

Mathematics DPhil student

I am a postdoc in the Algebraic Systems Biology group at the University of Oxford, studying topological data analysis. My research interests include applications of topology to neuronal morphology, inverse problems for persistent homology, and the Euler characteristic transform. My supervisors are Heather Harrington and Alain Goriely.

You can email me at beers at maths.ox.ac.uk.

I'm also on Twitter @DavidBeersMath, where I have started writing short threads explaining the key ideas behind my papers.

Here is my CV.

Publications and Preprints

[2023] David Beers, Despoina Goniotaki, Diane P. Hanger, Alain Goriely, Heather A. Harrington. Barcodes distinguishing morphology of neuronal tauopathy. Physical Review Research

[2023] David Beers and Jacob Leygonie. The fiber of persistent homology for trees. (Preprint)

[2023] Lewis Marsh and David Beers. Stability and Inference of the Euler Characteristic Transform. (Preprint)

[2022] David Beers, Alain Goriely, Heather A. Harrington. Stability of topological descriptors for neuronal morphology. (Preprint)

[2022] Christian Goodbrake, David Beers, Travis B. Thompson, Heather A. Harrington, Alain Goriely Brain Chains as Topological Signatures for Alzheimer’s Disease. (Preprint)

[2022] Jacob Leygonie and David Beers. Fiber of Persistent Homology on Morse functions. Journal of Applied and Computational Topology (JACT) .

Teaching

Tutor for A2 Metric Spaces and Complex Analysis, Fall 2023.

TA for C3.9 Computational Algebraic Topology, Spring 2022, Spring 2021.

TA for C3.1 Algebraic Topology, Fall 2021, Fall 2020.

TA for B1.2 Nonlinear Systems, Spring 2020.