Diego Artacho

Diego Artacho

Postdoctoral researcher at KU Leuven

About

I am a postdoctoral researcher in the Geometry group at KU Leuven, working with Joeri van der Veken.

Previously, I completed my PhD at Imperial College London under the supervision of Marie-Amélie Lawn and Steven Sivek. My thesis was examined by Sir Simon Donaldson and Simon Salamon, and was awarded the Yael Naim Dowker Prize for the best mathematics PhD thesis.

My research lies in differential geometry, with a focus on spin geometry, homogeneous spaces, and special spinors. I am also interested in teaching and student mentoring.

Outside mathematics, I enjoy reading, squash, and chess (although I am a terrible player).

Positions

Postdoctoral researcher, KU Leuven, Belgium

Nov 2025 – present

Education

PhD in Mathematics, Imperial College London

Oct 2021 – Oct 2025

Research in Differential Geometry under Marie-Amélie Lawn and Steven Sivek.
Thesis examined by Sir Simon Donaldson and Simon Salamon.

Master's in Pure Mathematics (Part III), University of Cambridge

Sept 2020 – June 2021

Bachelor's Degree in Mathematics, Universitat Autònoma de Barcelona

Sept 2015 – June 2020

Bachelor's Degree in Physics, Autonomous Universitat Autònoma de Barcelona

Sept 2015 – June 2020

Publications

Preprints

Thesis

Talks

  • New spinorial criteria for the stability of Einstein metricsMarch 2026
    Seminario de Geometría de la Universidad de Granada. Granada, Spain.
    Link to event site
  • Stability of Einstein metrics that carry special twisted spinorsMarch 2026
    Seminario de Geometría de la Universidad de Córdoba. Córdoba, Spain.
    Link to event site
  • Generalised Spin StructuresSeptember 2025
    Differential Geometry and its Applications. Brno, Czech Republic.
    Link to event site
  • Generalised Spin StructuresJuly 2025
    Workshop on Even and Odd Dimensional Geometric Structures. Bari, Italy.
    Link to event site
  • A Generalisation of Spin StructuresMay 2025
    Seminari de Topologia de la UB. Barcelona, Spain.
    Link to event site
  • Quaternion-Kähler ManifoldsFebruary 2025
    Quaternion-Kähler manifolds and the LeBrun-Salamon Conjecture (MAM III). Marburg, Germany.
    Link to event site
  • Spin Geometry and GeneralisationsNovember 2024
    Seminari de Geometria de la UAB. Barcelona, Spain.
    Link to seminar site
  • Characteristic Classes on Homogeneous SpacesJune 2024
    Spin Geometry Working Group. London, UK.
  • What is Spin Geometry?January 2024
    KCL/UCL Junior Geometry Seminar. London, UK.
    Link to seminar site
  • Twisted Spin StructuresNovember 2023
    Forschungsseminar Differentialgeometrie und Analysis. Marburg, Germany.
    Link to seminar site
  • Invariant Twisted Spinors on Homogeneous SpacesOctober 2023
    The Crazy World of Arthur L. Besse. Stuttgart, Germany.
    Link to event site
  • Generalised Spinʳ Structures on Homogeneous SpacesMay 2023
    BIRS Workshop: Spinorial and Octonionic Aspects of G₂ and Spin(7) Geometry. Banff, Canada.
  • Tauberian Operators on Banach SpacesMarch 2020
    X Workshop on Functional Analysis. Tenerife, Spain.
    Link to event site