Saleh Alharthi

I am a mathematics PhD student working on the Euclidean Steiner problem which is an old geometry problem. In general, the Euclidean Steiner problem is a problem of connecting points in Euclidean space so that the total length of connecting lines is minimal. I am interested in the application of mathematics in biology. Professor Peter Ashwin linked Euclidean Steiner network and Endoplasmic Reticulum in tobacco leaf in 2014 by proposing that the Endoplasmic Reticulum networks are connected in a manner that can be modelled using Euclidean Steiner Networks. We aim to develop a theory of locally minimal length networks, including the generalisation of Steiner trees called the Euclidean Steiner Network. Furthermore, we aim to find an Euclidean Steiner Networks on a given set of terminals. This can be computed numerically by GeoSteiner 5.3 (an optimization software package written in ANSI C) and our algorithm in MATLAB. This project is supervised by Professor Ashwin, as the main supervisor and Professor Biktashev, Vadim as the second supervisor and funded by the Ministry of Education in the Kingdom of Saudi Arabia.

Qualifications

- Bachelor of Mathematics, King Abdulaziz University, Saudi Arabia 2011

- Master of Mathematics, Wollongong University, Australia 2018