Dr Ingrid Amaranta Membrillo Solis
Lecturer in Mathematical Data Science
School of Mathematical Sciences
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

Publications of specific relevance to the Centre for Probability, Statistics and Data Science
2024
Metric geometry of spaces of persistence diagramsChe M Galaz-GarcĂa F Guijarro L Membrillo Solis IA
Journal of Applied and Computational Topology,
Springer Nature vol. 8 (8), 2197-2246.
03-09-2024
Grants

Grants of specific relevance to the Centre for Probability, Statistics and Data Science
Research Group
PhD Students
- Labix Liu
Cohomological Rigidity of Toric Spaces
News
December 2025
3 December 2025
Our centre members Dr. Amaranta Membrillo Solis and Prof. John Moriarty are co-organising a two-day workshop in the School of Mathematical Sciences on the 12th and 13th January, titled "Geometric Methods in Probability".
The first event on Monday 12th January will consist of a London Probability Day (LPD), an one-day ... [more]

October 2025
6 October 2025
Dr Amaranta Mebrillo Solis recently attended the kick-off meeting of the COST Action "multiscale Stochastics, Patterns, and Analysis of Combinatorial Environments" (mSPACE) in Brussels. COST (European Cooperation in Science and Technology) is a funding organisation for research and innovation networks. The Actions (funded projects) help connect research initiatives across Europe ... [more]
