Amaranta Membrillo Solis

Dr. Amaranta Membrillo Solis is a Lecturer in Mathematical Data Science at the School of Mathematical Sciences, Queen Mary University of London. Her research focuses on advanced mathematical methodologies intersecting topology, geometry, and data science. She holds a prominent position in geometric and topological data analysis, with expertise in soft materials modeling, persistence theory, and spectral geometry of singular spaces.

Her work integrates algebraic topology with applications in materials science, including the analysis of metasurfaces and soft matter systems. Notable contributions include studies on Hodge spectra differentiation between orbifolds and manifolds, topological characterization of nanoparticle networks, and homotopy theory of gauge groups. She actively collaborates with interdisciplinary teams to bridge theoretical mathematics and practical applications in nanotechnology and molecular conformational analysis.

Her publications span high-impact journals such as the Journal of Applied and Computational Topology, Michigan Mathematical Journal, and ACS Nano. She maintains an active research blog (https://amarantamembrillosolis.wordpress.com) and is engaged in computational projects leveraging topological methods for material science innovation.