Talks and Presentations
2022
August 8, 2022 - Lattice 2022, University of Bonn
A talk for physicists in lattice gauge theory based on my work on looking for center vortices in the SU(2) lattice gauge theory and the results in my paper of the same name.
(Slides)
July 20, 2022 - Young Topologists Meeting, University of Copenhagen
A talk for topologists based on my work with the XY model and SU(2) lattice gauge theory.
(Slides)
May 25, 2022 - aQa Seminar, Leiden University
A talk based on my work with the XY model and SU(2) lattice gauge theory.
(Slides)
February 18, 2022 - UK Centre for TDA Meeting (hybrid)
A talk based on my recently completed project with XY models, as well as recent progress on studying center vortices in SU(2) lattice gauge theory using persistent homology.
(Slides)
2021
September 29, 2021 - ECT* Machine Learning for High Energy Physics, on and off the Lattice (virtual)
A talk based on my preprint of the same name, introducing persistent homology and how I used it to obtain accurate estimates of the critical temperature and critical exponent of the correlation legnth for several BKT transitions.
(Slides)
August 19, 2021 - SIAM Conference on Applied Algebraic Geometry 2021 (virtual)
My talk in the persistent homology for phase transitions minisymposium at AG21, organised by Hoan Tran and myself.
(Slides)
June 17, 2021 - TopFlavours (virtual)
Slides from my entry to the TopFlavours Gong Show where I presented an overview of why using persistence to study phase transitions might be a good idea with a strict 7-minute time limit.
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May 12, 2021 - Manifold Learning Working Group, University of Oxford (virtual)
A brief review of a method introduced in the paper Geodesics in Heat to compute geodesic distances on various discrete domains, given access to a discrete version of the Laplacian.
(Slides)
May 4, 2021 - TDA Seminar, Swansea University (virtual)
A recap of vineyards and moves for updating persistence diagrams under a change in the filtration, along with a brief discussion of how these ideas might be useful in the context of using persistent homology as an observable in statistical physics models.
(Slides)
February 23, 2021 - TDA Seminar, Swansea University (virtual)
Reading group presentation on Solomon, Wagner and Bendich's paper From Geometry to Topology: Inverse Theorems for Distributed Persistence.
(Slides)
2020
December 8, 2020 - TDA Seminar, Swansea University (virtual)
A brief introduction to the idea and computation of Fréchet means for persistence diagrams, following Fréchet Means for Distributions of Persistence diagrams.
(Slides)
November 27, 2020 - UK Centre for TDA Meeting (virtual)
A brief introduction to lattice spin models and phase transitions along with an overview of my work using persistent homology to study these.
(Slides)
October 13, 2020 - TDA Seminar, Swansea University (virtual)
A brief introduction to lattice spin models and phase transitions followed by a presentation of recent work that has been going on using persistent homology to study phase transitions, including my own work.
(Notes)
October 5, 2020 - Étale Homotopy Study Group, LSGNT (virtual)
Study group presentation on some aspects of simplicial homotopy including (co)skeletons, hypercovers and homotopy (co)limits.
(Notes)
August 4, 2020 - TDA Seminar, Swansea University (virtual)
Reading group presentation on Chazal and Divol'sThe density of expected persistence diagrams and its kernel based estimation.
May 19, 2020 - TDA Seminar, Swansea University (virtual)
Reading group presentation on three papers exploring the interaction between TDA and dimensionality reduction from three different perspectives: Paul and Chalup's A study on validating non-linear dimensionality reduction using persistent homology; Moor et al.'s Topological Autoencoders; and Yan et al.'s Homology-Preserving Dimensionality Reduction via Manifold Landmarking and Tearing.
(Notes)
April 14, 2020 - TDA Seminar, Swansea University (virtual)
Reading group presentation on Meng and Xia's, Persistent spectral based machine learning (PerSpect ML) for drug design.
(Notes)
January, 2020 - TDA Seminar, Swansea University
Reading group presentation on Berry and Sauer's, Consistent Manifold Representation for Topological Data Analysis.
2019
November 22, 2019 - Maths PhD Seminar, Swansea University
A talk introducing some of the basic techniques of topological data analysis. Introduces simplicial complexes, nerves, mapper, homology and persistent homology.
(Notes)
November 11, 2019 - TDA Seminar, Swansea University
Reading group presentation on Casas' Distributing Persistent Homology via Spectral Sequences.
February 15, 2019 - TDA Seminar, University of Oxford
A talk based on Michael Robinson's paper Sheaves are the canonical datastructure for sensor integration.
(Notes)