Raquel Perales

Raquel Perales serves as a Research Fellow at the National Autonomous University of Mexico (UNAM), affiliated with the Mathematics Institute at the Oaxaca campus. Her scholarly work centers on advanced geometric structures and non-smooth spaces within mathematical analysis.

Her research program focuses on:

• Rigidity phenomena in integral current spaces
• Curvature constraints under Ricci and scalar bounds
• Singular Riemannian foliations and Yamabe-type problems
• Topological invariants for RCD metric measure spaces

Recent publications (2021-2023) reveal consistent investigation into stability theorems for tori, rigidity of Lipschitz mappings, and geometric analysis of singular spaces. These contributions appear in high-impact journals including Commentarii Mathematici Helvetici and Journal of Mathematical Analysis and Applications, demonstrating expertise in synthetic curvature frameworks.

Scientific Awards: No awards documented in source material.

Advising and Grants: No student supervision or grant funding information provided.

Labs and Teams: No laboratory affiliations or research teams specified.