Talks and presentations

A Lattice-Theoretic Laplacian for Cellular Sheaves

March 01, 2021

Talk, SIAM Conference on Computational Science and Engineering, Fort Worth, Texas

I presented work on the Tarski Laplacian for the mini-symposium Emerging Directions in Computational Topology organized by Brad Nelson and Greg Henselman. I discussed some computational challenges of computing global sections with the Tarski Laplacian.

Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions

December 11, 2020

Spotlight, NeurIPS 2020 Worshop: Topological Data Analysis and Beyond, Vancouver, Canada

Multiparameter persistent homology has been largely neglected as an input to machine learning algorithms. We consider the use of lattice-based convolutional neural network layers as a tool for the analysis of features arising from multiparameter persistence modules. We find that these show promise as an alternative to convolutions for the classification of multidimensional persistence modules.

Cellular Sheaves and the Tarski Laplacian

July 31, 2020

Talk, Quantum Group, Oxford Department of Computer Science, Oxford, UK

At the kind invitation of Vidit Nanda, I gave a talk to Samson Abramsky and his research group about our paper "Cellular Sheaves of Lattices and the Tarski Laplacian."