Mr Alvaro Torras Casas
Research Associate
- TorrasCasasA@cardiff.ac.uk
- 21-23 Senghennydd Road, Room Room M/1.10b, Cathays, Cardiff, CF24 4AG
Overview
Research Group
Geometry, Algebra, Mathematical Physics and Topology.
Research Interests
My research interests lie between Algebraic Topology, Sheaf Theory and Data Analysis. In particular, I am interested in the application of Sheaf Theory to obtain global information from local (possibly heterogeneous) data.
Biography
Oct 2012 - July 2016 Bachelor's in Mathematics, Universitat de Barcelona.
Oct 2016 - Sept 2017 MRes in Mathematics, University of Leicester.
Oct 2017- Present, PhD in Mathematics, University of Cardiff.
Publication
2023
- Torras Casas, A. and Pennig, U. 2023. Interleaving Mayer-Vietoris spectral sequences. Algebraic and Geometric Topology
2022
- Torras Casas, A. 2022. Distributing persistent homology via spectral sequences. Discrete & Constitutional Geometry
- Torras Casas, A. 2022. Persistence spectral sequences. PhD Thesis, Cardiff University.
Erthyglau
- Torras Casas, A. and Pennig, U. 2023. Interleaving Mayer-Vietoris spectral sequences. Algebraic and Geometric Topology
- Torras Casas, A. 2022. Distributing persistent homology via spectral sequences. Discrete & Constitutional Geometry
Gosodiad
- Torras Casas, A. 2022. Persistence spectral sequences. PhD Thesis, Cardiff University.
Research
Algebraic Topology, Sheaf Theory and Data Analysis
Teaching
MA1008 Linear Algebra I (Tutor)