Early Stage Career Stage Topologists AT Imperial College (ECSTATIC)
Talk entitled "Topological Machine Learning: Kernels on point clouds" on using Topological Data Analysis as the basis of simple machine learning algorithms
Imperial College London
June 2016
Computer Science Postgraduate Seminar
Short (mostly non-technical) talk on the fundamentals of topological data analysis
University of Durham
October 2015
Geometry and Topology Seminar
Talk on the potential application of TDA to Craquelure
University of Durham
November 2015
Birmingham Young Mathematicians Colloquium
Short Talk introducing TDA and potential applications
University of Birmingham
April 2016
CONFERENCE CONTRIBUTIONS
Visual Intersections I
Part of the organisational team, and presented a short talk on digital humanities
University of Durham
July 2016
Applied Topology: Methods, Computation and Science
Poster presented: "The State of the Art: Topological Analysis of Fine Art Craquelure" with preliminary results in the application of machine learning for paintings
Politecnico di Torino
July 2016
Ogden Scholarship: 2003-2009
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BMO: Silver Medal
BPhO: Silver
LAMDA Bronze, Silver and Gold: Distinction
Awards and Honours
MASTER THESIS
Title: A Linear Time Algorithm for Embedding Arbitrary Knotted Graphs into a 3-Page Book
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Supervisor: Dr Vitaliy Kurlin
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Knots, an embedding of the circle into 3-space , are a classical object of study and interest. Knots may be generalised in a number of ways, but one of the most intuitive is to so-called knotted graphs; embeddings of graphs into R 3 . In general, the structure of such an object may be difficult to understand, but we offer a linear time algorithm to find an ambient isotopy to an embedding which lies entirely within a 3-page book. Such embeddings, may be considered as elements in a semi-group which we describe. We analyse both the algorithm and implications of the semi-group structure before implementing the entire process in a small application. An extended version (in Collaboration with Dr Vitaliy Kurlin) is published in Computer Vision, Imaging and Computer Graphics Theory and Applications
University of Durham
CURRENT RESEARCH
We are currently investigating a strengthening of Persistent Homology in the zero'th degree in the Euclidean setting. By examining the Euclidean Minimal Spanning Tree of a point cloud we can obtain a more robust description of the cloud structure. We are currently attempting to employ the method for automatic detection of point cloud structure in 2d and 3d. Publication forthcoming
University of Durham
Most of my current research is focused on the studying of craquelure on fine art. This requires active investigation into ridge detection in low fidelity digital images, mathematical techniques for comparison of graphs (networks) and supervised machine learning methodologies.
