Rodrigo De Pool

Society of Science Postdoctoral Fellow

Education

Ph.D., in Geometry and Algebra, Instituto de Ciencias Matemáticas (ICMAT) - 2025
Master in Mathematics and Applications, Universidad Autónoma de Madrid - 2021
Double degree in Mathematics and Computer Science, Universidad Autónoma de Madrid - 2020

Research Groups

Algebra and Algebraic Geometry, Topology

Bio

Research Interests: 

My research lies in the intersection of geometry, topology, and group theory. A general problem in these areas is to uncover properties of geometric spaces via the study of their symmetries and deformations. In this setting, I mainly investigate the mapping class group of a Riemann surface and its interaction with fine moduli space. More broadly, I am interested in infinite groups that can be studied using combinatorial, algebraic, and geometric methods; prominent examples are braid groups, surface groups, and free groups.

Selected Publications:

• Non-planar ends are continuously unforgettable. Joint with J. Aramayona, R. Skipper, J. Tao, N. G. Vlamis and X. Wu. To appear in International Mathematics Research Notices (2025).
• Braided multitwists. To appear in Algebraic and Geometric Topology (2024).
• Finite rigid sets of the non-separating curve complex. Forum Mathematicum (2022).
• Matching arc complexes: Connectedness and hyperbolicity. Joint with J. Aramayona and A. Fernández. Expositiones Mathematicae (2021).