Welcome
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Full Professor - Catedràtica
Chair in Geometry and Topology
Departament de Matemàtiques
Universitat Politècnica de Catalunya
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Resarcher at:
Institut de Robòtica i Informàtica Industrial
IRI, CSIC - UPC
Institute of Mathematics of UPC-BarcelonaTech
IMTech, UPC
Contact
- Mail:
Departament de Matemàtiques
Universitat Politècnica de Catalunya
Diagonal 647
08028 Barcelona - Tel.: (+34) 93 401 60 53
- E-mail: Maria.Alberich@upc.edu
My Vision
Foundational mathematical research provides the necessary background for advancing the frontiers of knowledge across diverse disciplines, not just mathematics. However, significant progress in addressing global societal challenges will only be achieved by breaking down silos between these disciplines.Academic Journey
- Full Professor (2022-  ), Universitat Politècnica de Catalunya (UPC)
- Associate Professor (2005-2022), Universitat Politècnica de Catalunya (UPC)
- Ramón y Cajal Fellow (2001-2005), Universitat Politècnica de Catalunya (UPC)
- Lecturer (1997-2001), Universitat de Barcelona (UB)
- Ph.D. Mathematics (2000), Universitat de Barcelona (UB)
- M.Sc. Mathematics (1994), Universitat de Barcelona (UB)
Research Topics
My research combines foundational mathematical inquiry with the development of practical tools for emerging challenges in robotics:
- Analytic and Algebraic Singularities:
- Plane Cremona maps
- Valuation theory and complete ideals
- Multiplier ideals and jumping numbers
- Analytic versus topological invariants
- Mathematical Modeling for Robotics:
- Artificial perception, representation, and planning
- Physical interactions: cloth simulation and cloth manipulation
Singulab LabORA ROMANDIC
Service
- Deputy Director at Centre de Formació Interdisciplinària Superior (CFIS-UPC)
- Member of the IMAGINARY Committee of the Real Sociedad Matemática Española (RSME)