📖 About

I am a final-year Mathematics PhD student at Imperial College London, supervised by Marie-Amélie Lawn and Steven Sivek. My research explores the rich interplay between spin geometry, homogeneous spaces, and special spinors. Beyond research, I am committed to teaching and student mentoring. Aside from mathematics, I love reading, squash, and chess (although I am a terrible player).

🎓 Education

• PhD in Mathematics, Imperial College London, UK (Oct 2021 – present)
  Research in Differential Geometry under the supervision of Marie-Amélie Lawn and Steven Sivek.
• MASt in Pure Mathematics (Part III), University of Cambridge, UK (Sept 2020 – June 2021)
• Bachelor's Degree in Mathematics, Autonomous University of Barcelona, Spain (Sept 2015 – June 2020)
• Bachelor's Degree in Physics, Autonomous University of Barcelona, Spain (Sept 2015 – June 2020)

📚 Publications

• Killing Mean Curvature Solitons from Riemannian Submersions, with Marie-Amélie Lawn and Miguel Ortega. (Preprint, 2025)
• Invariant Spinors on Flag Manifolds, with Uwe Semmelmann. (International Journal of Mathematics, 2025)
• The Geometry of Generalised Spinʳ Spinors on Projective Spaces, with Jordan Hofmann. (Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 2025)
• Generalised Killing Spinors on Three-Dimensional Lie Groups. (Manuscripta Mathematica, 2025)
• Generalised Spinʳ Structures on Homogeneous Spaces, with Marie-Amélie Lawn. (Preprint, 2023)
• Translating Solitons in Generalised Robertson–Walker Geometries, with Marie-Amélie Lawn and Miguel Ortega. (Preprint, 2022)

🎤 Talks

• Generalised Spin Structures – Bari, Italy (July 2025) – slides available here
• A Generalisation of Spin Structures – UB, Barcelona, Spain (May 2025)
• Quaternion-Kähler Manifolds – Marburg, Germany (Feb 2025)
• Spin Geometry and Generalisations – UAB, Barcelona, Spain (Nov 2024)
• Characteristic Classes on Homogeneous Spaces – ICL, London, UK (June 2024)
• What is Spin Geometry? – KCL/UCL, London, UK (Jan 2024)
• Twisted Spin Structures – Marburg, Germany (Nov 2023)
• Invariant Twisted Spinors on Homogeneous Spaces – Stuttgart, Germany (Oct 2023)
• Generalised Spinʳ Structures on Homogeneous Spaces – Banff, Canada (May 2023)
• Tauberian Operators on Banach Spaces – Tenerife, Spain (Mar 2020)

📘 Teaching

• Associate Fellow of the Higher Education Academy (2024 - present)
• Graduate Teaching Assistant at Imperial College: Introduction to University Mathematics, Linear Algebra and Groups, Analysis I, Analysis II, Groups and Rings, Measure Theory, Lebesgue Measure and Integration (2022 – 2025)
• Undergraduate Teaching Assistant at the Autonomous University of Barcelona (2018)

🌐 Languages

• English
• Spanish
• Catalan
• French
• Italian
• Latin