Adam Onus

Profile

My PhD project is on the `Topological Analysis of Structured Data', supervised by Dr Primoz Skraba, and commenced in September 2021.

Prior to joining QMUL, I received my Bachelor of Philosophy with Honours from the Australian National University in 2020 (equivalent to an undergraduate degree with integrated masters). My honours research project was titled "The Homology of Periodic Simplicial Complexes and their Quotient Spaces" and is the motivation for my PhD project here at QMUL.

My main interests lie in applied and stochastic topology and geometry, using tools such as persistent homology to understand and characterise qualitative properties of topological space which arise in application. My current work looks at how to characterise the topology of infinite cellular complexes with a high degree of symmetry based on finite approximations. These complexes arise naturally in infinite crystals and molecular dynamics simulations where there is a great deal of translational symmetry.

This year I am also one of the organisers for QuIPS and I am a curriculum ambassador for the SMS.

Teaching

Spring 2022

• Probability and Statistics I
• Vectors and Matrices

Autumn 2022

• Introduction to Probability
• Computing and Data Analysis with Excel

Research

Examples of research funding:

I am funded with the support of the Additional Funding Programme for Mathematical Sciences,
delivered by EPSRC (EP/V521917/1) and the Heilbronn Institute for Mathematical Research.

Publications

Adam Onus and Vanessa Robins. Quantifying the homology of periodic cell complexes. arXiv preprint arXiv:2208.09223, 2022.

Public Engagement

Why Does Persistent Homology Work in Applications? [Adam Onus] - YouTube