Public lectures
What is aperiodicity? Preliminary talk for the interpretive dance piece Aperiodic — by way of ballet, breakdancing and Hofstadter’s butterfly at the Mission Theatre, Bath, 26th July 2024. (Talk in collaboration with the South West Dance Theatre.)
What is aperiodicity? Preliminary talk for the interpretive dance piece Aperiodic — by way of ballet, breakdancing and Hofstadter’s butterfly at the Trinity Centre, Bristol, 11th July 2024. (Talk in collaboration with the South West Dance Theatre.)
Invited speaker
Maximum likelihood estimators for Gaussian distributions with restricted covariance, with connections to rigidity theory. SIAM Conference on Applied Algebraic Geometry at University of Wisconsin, 7th July 2025. (Joint research with O. Clarke, S. Gortler, R. Talbut and L. Theran.)
Graphical Erdős distance problems. Matroids, Rigidity, and Algebraic Statistics at ICERM, 17th March 2025. (Joint research with O. Clarke, D. Green-Tripp, J. Maxwell, A. Nixon, Y. Ren and B. Smith.)
How to count realisations of rigid graphs. UK Applied Algebra and Geometry, 20th meeting at University of Oxford, 28th November 2024.
Edge-length preserving embeddings of graphs between normed spaces. Bristol Junior Algebra and Combinatorics Seminar at the University of Bristol, 9th October 2024.
Dancing around the subject: Mathematical collaboration with artists. KE for Pure Mathematicians online event at the UK Knowledge Exchange Hub for Mathematical Sciences (online), 25th July 2024. https://www.youtube.com/watch?v=1PF0_yVmeog
Using tropical geometry to design a roof. KE for Pure Mathematicians online event at the UK Knowledge Exchange Hub for Mathematical Sciences (online), 25th July 2024. https://www.youtube.com/watch?v=OKT53FN_Ic4
Counting realisations of rigid graphs. Combinatorics Seminar at the University of Warwick, 14th June 2024. (Joint research with O. Clarke, G. Grasegger, D. Green-Tripp, J. Maxwell, A. Nixon, Y. Ren and B. Smith.)
Counting realisations for rigid graphs. NYC Geometry Seminar at Courant Institute of Mathematical Sciences (online), 13th February 2024. (Joint research with G. Grasegger.) https://youtu.be/SJ_q1hlVwO8?si=HvOw6qezswshdZ2g
A link between structurally rigid bar-and-joint frameworks and irreducible tropical curves. Heilbronn Annual Review Seminar at the University of Bristol, 7th December 2023. (Joint research with F. Babaee and J. Maxwell.)
Homothetic packings of convex bodies. Seminar on Combinatorics, Games and Optimisation at the London School of Economics and Political Sciences, 8th June 2023. (Joint research with R. Hutchins.)
A beginners guide to combinatorial rigidity and flexibility in the plane. Combinatorics Seminar at the University of Bristol, 2nd May 2023.
Identifying contact graphs of sphere packings with generic radii is NP-Hard. Graph rigidity and applications at Lancaster University, 21st April 2023.
Flexing the 1-skeleton of a Penrose tiling. 53rd Southeastern International Conference on Combinatorics, Graph Theory & Computing at Florida Atlantic University (online), 10th March 2022. (Joint research with J. Legerský.)
Homothetic packings of centrally symmetric convex bodies. Pure Maths Colloquium at the University of St Andrews (online), 27th January 2022.
Graph rigidity in normed spaces (or: How I learned to stop worrying and love the norm). The Workshop on Progress and Open Problems in Rigidity Theory at the Fields Institute (online), 22nd February 2021. https://www.youtube.com/watch?v=XBSxTNZGD1o
Guest lecturer
Graph flattenability. Graduate Course on Real algebraic & Distance geometry in Discrete Structures and Kinematics at the Fields Institute (online), 16th & 18th March 2021. Lecture 1: https://www.youtube.com/watch?v=sK9ixasQ6Xg&list=PLArBKNfJxuulcv7WwjwNb8wPJwmQhCd9M&index=11. Lecture 2: https://www.youtube.com/watch?v=0vHGFIWde40&list=PLArBKNfJxuulcv7WwjwNb8wPJwmQhCd9M&index=12
When are complete bipartite frameworks infinitesimally rigid? Graduate Course on Combinatorial and Geometric Rigidity at the Fields Institute (online), 10th February 2021. https://www.youtube.com/watch?v=O8A8rF5MD9I&list=PLArBKNfJxuuk6DK1oE1zrU_16TW-reOAr&index=10
Selected others
Rigidity over the rational numbers. Theory and Algorithms in Graph Rigidity and Algebraic Statistics at NII Shonan Meeting, 2nd September 2024.
The number of realisations of a rigid graph in Euclidean and spherical geometries. Workshop on Geometric Constraints: Materials, Graphs and Matroids, Rigidity and Packings at the Fields Institute, 11th July 2023. (Joint research with G. Grasegger.) https://www.youtube.com/watch?v=kJQn_8PHQUg&ab_channel=FieldsInstitute
Introducing genericity to convex body packings. Interplay between Geometric Analysis and Discrete Geometry at Casa Matemática Oaxaca (online), 27th June 2023.
Quotient graphs of symmetrically rigid frameworks. 29th British Combinatorial Conference at Lancaster University, 14th July 2022. (Joint research with G. Grasegger, E. Kastis and A. Nixon.)
The number of realisations of a minimally rigid graph in various geometries. 24th Conference of the International Linear Algebra Society at National University of Ireland, 23rd June 2022. (Joint research with G. Grasegger.)
Flexible placements of graphs with rotational symmetry. 2nd IMA Conference on Mathematics of Robotics (online only), 9th September 2021. (Joint research with G. Grasegger and J. Legerský.)
Applying rigidity theory to homothetic convex body packings. International Workshop on Operator Theory and its Applications at Lancaster University (online).
Rigidity theory in normed spaces. Young Functional Analysis Workshop at Lancaster University (online), 14th August 2021.
Homothetic packings of centrally symmetric convex bodies. Workshop on the Geometry of Circle Packings at the Fields Institute (online), 12th April 2021. https://www.youtube.com/watch?v=kWJ91T0cDGA&ab_channel=FieldsInstitute
Rotational symmetric flexible placements of graphs. The 36th European Workshop on Computational Geometry at University of Würzburg (online), 16th March 2020. (Joint research with G. Grasegger and J. Legerský.) https://www.youtube.com/watch?v=A9XT502iXM8&ab_channel=EuroCG2020
Rigidity in the normed plane. Rigidity and Flexibility of Geometric Structures at Erwin Schrödinger International Institute for Mathematics and Physics, 27th September 2018.
Framework rigidity in normed spaces. Bond-node structures at Lancaster University, 6th June 2018.
Graph rigidity in non-Euclidean normed spaces. Young Functional Analysis Workshop at Newcastle University, 23rd March 2018.
The rigidity of infinite frameworks in Euclidean and polyhedral normed spaces. Bond-node structures at Lancaster University, 9th June 2017.