Dr Ingrid Amaranta Membrillo Solis
Lecturer in Mathematical Data Science
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
Algebraic Topology, Applied Topology, Metric Geometry, Differential Geometry, Data Science
Interests
My research interests encompass several areas in topology and geometry, including algebraic topology, differential geometry, metric geometry, and geometric and topological data analysis. In particular, I'm interested in the following topics:- Geometric and topological data analysis
- Persistence theory
- Spectral and metric geometry of singular spaces
- Topology of moduli spaces of Riemannian orbifolds
- Unstable homotopy theory
Publications
2024
Che M, Galaz-García F, Guijarro L and Membrillo Solis IA (2024). Metric geometry of spaces of persistence diagrams. Journal of Applied and Computational Topology, Springer Nature vol. 8 (8), 2197-2246. 03-09-2024