Research

Research interests

I am broadly interested in fundamental matrix problems in the age of computing with extremely large amounts of data. 

Talks

 Selected invited, minisymposium, and conference talks, and some slides below!

Fast randomized least-squares solvers can be just as accurate and stable as classical direct solvers

The numerical stability of sketch-and-precondition solvers


Randomized algorithms for Tikhonov regularization


Fast randomized numerical rank estimation

 Slides

fast-randomized-least-squares-solvers-can-be-just-as-accurate-and-stable-as-classical-direct-solvers.pdf

This talk is broadly based on our paper Fast randomized least squares sovlers can be just as accurate and stable as classical direct solvers. I gave the talk in the Numerical Analysis and Scientific Computing Seminar at the University of Manchester.

numerical_stability_slides_LA24.pdf

This talk is broadly based on our paper Are sketch-and-precondition LS solvers numerically stable?, but includes some more figures on stability of various algorithms. I gave the talk at SIAM LA24 in Ilse Ipsen's and Arvind Saibaba's minisymposium.

numerical_stability_slides_BathRAL.pdf

These are extended slides from a 40-minute invited talk at Bath-RAL Numerical Analysis Day on the Are sketch-and-precondition LS solvers numerically stable? work.

randomized-methods-for-linear-inverse-problems-v2_removed.pdf

This is an overview of most of my early PhD projects applied to linear inverse problems.

palette-3ecdde.pdf

Slides from a talk I gave online at SIAM MDS22 on the preprint Randomized algorithms for Tikhonov regularization in linear least squares.

Woolly_Owl_Talk__Copy_.pdf

The Oxbridge Applied Mathematics Meeting is a friendly competition between the Oxford and Cambridge applied mathematics groups, where students give talks and the winner takes home a 'wooly owl'. I gave an introductory talk on numerical rank estimation based on the paper Fast randomized numerical rank estimation for numerically low-rank matrices.

Internal_Seminar_Talk_3_Nov.pdf

Slides of my first talk as a PhD student on my MSc project Fast Randomized Numerical Rank Estimation.

Poster on Randomized algorithms for Tikhonov regularization in linear least squares

HH Poster v17.pdf