I am Toky, a Malagasy PhD student at the University of Potsdam (Germany). My work is done under the supervision of
Prof. Dr. Myfanwy Evans and
Dr. Sonia Mahmoudi, in the team of Applied Geometry and Topology.
I completed my Bachelor's and
Magisterium at the university of Strasbourg (France), and my Master's at
the University of Rennes 1 (France).
The aim of my PhD project is to describe periodic entanglements found in various biological, molecular, and chemical structures like polymers, liquid crystals, and DNA origami crystals. See below a 3D model of a 3-periodic entanglement, created using
Houdini. Our study of such structures consists in providing a systematic construction of the entanglements and exploring their geometric and topological properties.
In general, I am interested in using mathematics to analyse objects that present physical properties driven by their topological or geometrical features.
Here is a non-exhaustive list of my interests: pure/applied topology and geometry, computational geometry, knot theory, entanglements, weavings, algebra, biology, chemistry, physics, materials science, crystallography, 3D animation and visualisation.
Besides my research, I often attend or organise some
conferences, workshops or courses.
Skills:
- Languages: Malagasy (mother tongue), French (fluent), English (Excellent command), German (basic communication skills).
- Programming, coding, various computational skills: Python, \( \LaTeX \), html, php, css, javascript, sql, Houdini.