![Ambrose Yim MMathPhys DPhil](https://profiles-cardiff.imgix.net/attachments/4738?w=200&h=200&auto=format&crop=faces&fit=crop&q=90")
Overview
I'm Ka Man (Ambrose) Yim. My research area is Applied and Computational Topology, the study of algorithms and theory supporting methods in topological data analysis (TDA). In particular, I focus on the following topics:
- Topological and Geometric Inference (recovering geometric and topological information of a shape using finitely many observations)
- Topology and Dynamical Systems (namely Conley and Morse Theory, the use of algebraic topology to understand dynamical systems, and vice versa)
- Application of TDA methods to machine learning and data science
I am also keen to foster collaborations with partners in industry and the public sector on data science projects.
Publication
2025
- Yim, K. M. and Nanda, V. 2025. Topological inference of the Conley index. Journal of Dynamics and Differential Equations 37, pp. 1565-1597. (10.1007/s10884-023-10310-1)
- Song, A., Yim, K. M. and Monod, A. 2025. Generalized Morse theory of distance functions to surfaces for persistent homology. Advances in Applied Mathematics 166, article number: 102857. (10.1016/j.aam.2025.102857)
- Grindrod, P. and Yim, K. M. 2025. Dynamical systems on generalised Klein bottles. Entropy 27(2), article number: 119. (10.3390/e27020119)
2023
- Song, A., Yim, K. M. and Monod, A. 2023. Generalized morse theory of distance functions to surfaces for persistent homology. [Online]. Online: arXiv. (10.48550/ARXIV.2306.14716) Available at: https://arxiv.org/abs/2306.14716
2021
- Yim, K. M. and Leygonie, J. 2021. Optimization of spectral wavelets for persistence-based graph classification. Frontiers in Applied Mathematics and Statistics 7, article number: 651467. (10.3389/fams.2021.651467)
Articles
- Yim, K. M. and Nanda, V. 2025. Topological inference of the Conley index. Journal of Dynamics and Differential Equations 37, pp. 1565-1597. (10.1007/s10884-023-10310-1)
- Song, A., Yim, K. M. and Monod, A. 2025. Generalized Morse theory of distance functions to surfaces for persistent homology. Advances in Applied Mathematics 166, article number: 102857. (10.1016/j.aam.2025.102857)
- Grindrod, P. and Yim, K. M. 2025. Dynamical systems on generalised Klein bottles. Entropy 27(2), article number: 119. (10.3390/e27020119)
- Yim, K. M. and Leygonie, J. 2021. Optimization of spectral wavelets for persistence-based graph classification. Frontiers in Applied Mathematics and Statistics 7, article number: 651467. (10.3389/fams.2021.651467)
Websites
- Song, A., Yim, K. M. and Monod, A. 2023. Generalized morse theory of distance functions to surfaces for persistent homology. [Online]. Online: arXiv. (10.48550/ARXIV.2306.14716) Available at: https://arxiv.org/abs/2306.14716
Research
A full list of my publications can be found on my Google Scholar Profile.
Biography
Committees and reviewing
Impact and Engagement Committee, School of Mathematics
Contact Details
Research themes
Specialisms
- Topology
- Algebraic Topology
- Topological Data Analysis
- Applied and Computational Topology