Research

Preprints

• • Maria Esteban. (2025) Reverse isoperimetric properties of thick λ-concave bodies in the Hyperbolic plane. Preprint.

Publications

• • Maria Esteban. (2024) Non-convergence of the Ollivier Ricci Flow. Mathematics Today. 60 No 6, pp 182-184.

Thesis

• • Maria Esteban. (2025) Geometrical Patchwork: A Gluing Construction of Einstein Metrics via High-Dimensional Dehn Filling. University of Oxford MSc Dissertation.
  Supervisor: Prof. Jason Lotay
• • Maria Esteban. (2024) Discrete notions of curvature on graphs: Ollivier Ricci Curvature and non-convergence of the Ollivier Ricci Flow. Heriot-Watt University BSc Dissertation.
  Supervisor: Prof. Alessandro Sisto

Talks

• • Spectral Geometry in the Clouds Seminar, Canadian Centre de Recherche Mathématique (CRM), Online
  Title: Reverse isoperimetric properties of thick λ-sausages in the hyperbolic plane and Blaschke's rolling theorem
  
• • IMA Early Career Mathematicians Seminar, Institute of Mathematics and Its Applications (IMA), London, UK
  Title: Geometric methods for community detection: Discrete notions of curvature in graphs and clustering in the Hyperbolic Space
  
  Recording
• • IMA National Celebration of the Best Final Year Maths Project 2024, Institute of Mathematics and Its Applications (IMA), London, UK
  Title: Discrete notions of curvature on graphs: Ollivier Ricci Curvature and non-convergence of the Ollivier Ricci Flow
  
• • The Best Maths Project 2024 Celebration, Institute of Mathematics and Its Applications (IMA), London, UK
  Title: Discrete notions of curvature on graphs: Ollivier Ricci Curvature and non-convergence of the Ollivier Ricci Flow
  
  Recording
• • Tomorrow’s Mathematicians Today (TMT) Conference, Institute of Mathematics and Its Applications (IMA), London, UK
  Title: An Introduction to Machine Learning in the Hyperbolic Space
  
• • Tomorrow’s Mathematicians Today (TMT) Conference, Institute of Mathematics and Its Applications (IMA), London, UK
  Title: Discrete notions of curvature in graphs and its applications to network analysis
  
• • Women in Data Science (WiDS) Conference, University of Edinburgh and Heriot-Watt University, Edinburgh, UK
  Title: A Non-Euclidean Approach to Machine Learning