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
2026
Multiscale geometrical and topological learning in the analysis of soft matter collective dynamicsOrlova T Solis AM Sohn HRO Madeleine T D'Alessandro G Smalyukh II Kaczmarek M Brodzki J
Physical Review Materials,
American Physical Society (Aps) vol. 10 (1)
01-01-2026
Do the Hodge Spectra Distinguish Orbifolds from Manifolds? Part 2Gittins K Gordon C Membrillo Solis I Rossetti JP Sandoval M Stanhope E
The Michigan Mathematical Journal,
Michigan Mathematical Journal vol. -1 (-1)
01-01-20262024
Metric geometry of spaces of persistence diagramsChe M Galaz-García F Guijarro L
Journal of Applied and Computational Topology,
Springer Nature vol. 8 (8), 2197-2246.
03-09-2024
Do the Hodge Spectra Distinguish Orbifolds from Manifolds? Part 1Gittins K Gordon C Khalile M Membrillo Solis I Sandoval M Stanhope E
The Michigan Mathematical Journal,
Michigan Mathematical Journal vol. 74 (3)
01-07-2024
Basic metric geometry of the bottleneck distanceChe M Galaz-García F Guijarro L Solis IM Valiunas M
Proceedings of The American Mathematical Society,
American Mathematical Society (Ams) vol. 152 (08), 3575-3591.
12-06-20242023
Topological Learning for the Classification of Disorder: An Application to the Design of MetasurfacesMadeleine T Podoliak N Buchnev O Solis IM Orlova T van Rossem M Kaczmarek M D’Alessandro G et al.
Acs Nano,
American Chemical Society (Acs) vol. 18 (1), 630-640.
18-12-2023
Control of Long-Range Gold Nanoparticles Networks in Liquid Crystals and their Topological CharacterizationD'Alessandro G Podoliak N Madeleine T Solis IM Kaczmarek M Orlova T Brodzki J
Novel Optical Materials and Applications Noma 2023 in Proceedings Advanced Photonics Congress 2023 Part of Optica Advanced Photonics Congress 2023.
01-01-2023
Topological Learning and disorder for the classification and design of structured metasurfacesBrodzki J Madeleine T Solis IM Podoliak N Buchnev O D’Alessandro G Kaczmarek M
Novel Optical Materials and Applications Noma 2023 in Proceedings Advanced Photonics Congress 2023 Part of Optica Advanced Photonics Congress 2023.
01-01-20232022
Tracking the time evolution of soft matter systems via topological structural heterogeneityMembrillo Solis I Orlova T Bednarska K Lesiak P Woliński TR D’Alessandro G Brodzki J Kaczmarek M
Communications Materials,
Springer Nature vol. 3 (1)
12-01-20222021
The homotopy types of SO(4)-gauge groupsKishimoto D Membrillo-Solis I Theriault S
European Journal of Mathematics,
Springer Nature vol. 7 (3), 1245-1252.
27-04-2021
The homotopy types of U(n)-gauge groups over lens spacesMembrillo-Solis I Theriault S
BoletíN De La Sociedad MatemáTica Mexicana,
Springer Nature vol. 27 (2)
01-04-20212019
Homotopy types of gauge groups related to S 3-bundles over S 4Membrillo-Solis I
Topology and Its Applications,
Elsevier vol. 255, 56-85.
01-03-2019
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]
