Alexander Kartun-Giles' Webpage

Alexander P. Kartun-Giles

Institute of Finance and Technology (IFT)
2.02 Chadwick Building
University College London
Gower St, London WC1E 6BT

alexander.giles@ucl.ac.uk

On way back from Margate, UK, June 2023

Hello! I am currently a Postdoctoral Research Fellow in Complex Networks at the Institute of Finance and Technology (IFT), University College London, looking at network models of systemic risk in climate finance.

Previously I was a postdoc at the Institute for Sustainable Resources at the Bartlett at UCL, and recently Postdoctoral Research Fellow in the Division of Mathematics at NTU Singapore,
working on random geometric graphs with Nicolas Privault. Before this, I've held postdoctoral positions at the School of Mathematics, University of Bristol, the Wireless Systems Laboratory at Hanyang University, Seoul, with Jürgen Jost's Geometry, Analysis and Theoretical Physics Group at The Max Plank Institute for Mathematics in the Sciences, Leipzig, and the Complex Systems and Networks Group at QMUL. From 2011 to 2016, I worked with Prof. Carl Dettmann and Orestis Georgiou at the University of Bristol reading for a PhD in Communications Engineering entitled "Connectivity and Centrality in Dense Random Geometric Graphs".

Before that I did an MSci in Physics at the University of Bristol.

Here is my cv.

Here is my Google Scholar.

I recently completed a visiting position at the Max Plank Institute for Mathematics in the Sciences in Leipzig,
working with Prof. Jürgen Jost and his Geometry, Analysis and Theoretical Physics group
on discrete notions of curvature in networks, as well as random topology in complex networks.

Hyperbolic random geometric graphs.

I was previously a visiting postdoc at Queen Mary University of London,
working in the Complex Systems group with Dr Ginestra Bianconi, from 2017 until 2018,
where we worked on inference in complex networks with Dimitri Krioukov, James P. Gleeson and Yamir Moreno,
as well as the statistical mechanics of simplicial complexes in complex networks.

Random geometric graph in non-convex domain

From 2016 to 2017, I worked with Prof. Sunwoo Kim and his Wireless Systems Laboratory at Hanyang University in Seoul,
working on random geometric graphs, localisation in random networks, as well as Euclidean matching theory in ultra-dense 5G networks.

From 2015 to 2016, after my PhD, I worked as a Postdoctoral Research Fellow in the School of Mathematics at the Bristol University,
after receiving EPSRC funding for a project entitled "Random Walks on Random Geometric Networks".
We also held a one-day meeting as part of the British Mathematical Colloquim 2016.

Wifi domain
Random geometric graph in a non-convex "WiFi" domain. The non-convexity blocks connections between some pairs of nodes, see e.g.

Connectivity of soft random geometric graphs over annuli, A.P. Giles, O. Georgiou and C.P. Dettmann, Journal of Statistical Physics 162, 2016.

How does this affect the connectivity of the graph? See also the Boltzmann-Grad limit of the periodic Lorentz gas, Jens Marklof and Andreas Strombergsson, Ann. Maths 174, 2011. Millions of miniscule obstacles in a 2d region block the path of a bouncing electron. Can help understand ideas of physics e.g. Ohms law.