👋 Toky, a mathematician.


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I am currently a PhD student in Applied Geometry and Topology at the University of Potsdam in Germany. My research is conducted under the supervision of Prof Dr Myfanwy Evans and Dr Sonia Mahmoudi.

I completed both my Bachelor's and Magisterium degrees at the University of Strasbourg, followed by a Master's degree at the University of Rennes 1 in France. While Potsdam serves as my primary research base, I also spent a research period at the Advanced Institute for Materials Research (AIMR) at Tohoku University in Japan.

My PhD research focuses on the development of geometric and topological tools to help chemists, materials scientists, and mechanical engineers, describe and quantify entanglement in crystalline (3‑periodic) materials. A 3D model of a 3‑periodic entanglement of filaments (which we call 3‑periodic tangle) is displayed below; the model was generated using Houdini by SideFX. The study of entanglement in lattice (periodic) geometries is essential for understanding the properties of various material systems across multiple scales, including DNA orgami crystals, metal-organic frameworks, covalent organic frameworks, foams, and volumetric textile such as knits and weavings. Alongside my research, I also tutor students in the use of various software programmes (such as Houdini) to model and explore materials.

Areas of interest and expertise:
  • Topology, geometry, algebra
  • Geometric and topological computational modelling, visualisation and analysis
  • Knot theory, entanglements and weavings
  • Interdisciplinary collaboration with materials science

Besides my PhD work, I often attend or organise conferences, workshops, and courses.

Skills:
  • Languages: Malagasy (mother tongue), French (fluent), English (excellent command), German (basic communication skills).
  • Typesetting: \(\LaTeX\).
  • Numerical computing: Python.
  • Front-end development: HTML, CSS.
  • Back-end development: PHP, SQL.
  • Procedural design: Houdini.