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Ambrose Yim
(he/him)
MMathPhys DPhil
Teams and roles for Ambrose Yim
Post-doctoral Research Associate
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