Videotaped lectures:

- Ten lectures on randomized methods in linear algebra, direct solvers for elliptic PDEs, etc. Supporting material is available here. These lectures were presented at a 2014 CBMS conference at Dartmouth College.
- Tutorial on randomized methods in linear algebra delived at the 2009 NIPS conference.

- Seminar at the University of Bath, April 2018.

Randomized methods for accelerating matrix factorization algorithms. - Seminar at the University of Manchester, April 2018.

Fast Direct Solvers for linear elliptic PDEs. - Seminar at ICERM workshop, March 2018.

Introduction to fast summation methods. - Seminar at University College London, February 2018.

Randomized methods for accelerating matrix factorization algorithms. - Seminar at University of Warwick, January 2018.

Randomized algorithms and fast direct solvers for elliptic PDEs. - Talk at UKIE meeting in Southampton, January 2018.

Randomized methods for accelerating matrix factorization algorithms. - Workshop talk at KTH, Stockholm, November 2017.

Randomized algorithms for large scale linear algebra and data analytics. - ICES seminar, UT Austin, September 2017.

Randomized algorithms and fast direct solvers for elliptic PDEs . - Germund Dahlquist Prize lecture, SciCADE, Bath, September 2017.

Fast Direct Solvers for linear elliptic PDEs . - Computational Mathematics and Applications Seminar, Oxford, June 2017.

Randomized methods for accelerating matrix factorization algorithms . - Mathematics colloquium, UT Austin, April 2017

Analysis based methods for solving linear elliptic PDEs numerically . - Workshop on Fast Direct Solvers at Purdue University, Nov 2016

Accelerating direct solvers using randomized methods . - Mathematics seminar, U-Washington, Oct 2016

Randomized methods for accelerating matrix factorization algorithms . - Mathematics seminar, UT-Austin, Sep 2016

Randomized methods for accelerating matrix factorization algorithms . - Statistics/Scientific Computing seminar, University of Chicago, Feb 2015

Randomized methods for approximating matrices . - PACM seminar, Princeton, Feb 2014

Fast Direct Solvers for Elliptic PDEs . - AMCS/PICS Colloquium, University of Pennsylvania, Feb 2014

Randomized Algorithms for Very Large-Scale Linear Algebra . - Matrix Computations Seminar, UC-Berkeley, Nov 2013

Fast Direct Solvers for Elliptic PDEs . - Applied mathematics seminar at Chalmers University, May 2012

Randomized Algorithms for Very Large-Scale Linear Algebra. - CU-Boulder "intro to research" seminar, Feb 2012

Fast methods for solving elliptic PDEs. - Applied mathematics seminar at Chalmers University, Jan 2012

Fast direct solvers for elliptic PDEs. - SIAM CSE conference in Reno, NV, Feb 2011

Fast direct solvers for elliptic PDEs. - Workshop on
*Modern Massive Data Sets*, Palo Alto, June 2010

Randomized methods for computing the Singular Value Decomposition (SVD) of very large matrices. - CU-Denver Computational Mathematics Colloquium, Feb 2010

Fast numerical methods for solving elliptic PDEs. - Workshop on Random Matrix Methods, Banff, Jan 2010

Enabling very large-scale matrix computations via randomization. - Applied Mathematics seminar, Brown University, Jan 2010

Fast numerical methods for solving elliptic PDEs. - Workshop on Numerical Homogenization, Banff, Dec 2009

Fast and accurate techniques for computing Schur complements and performing numerical coarse graining. - NIPS Tutorial, Vancouver, Dec 2009

Randomization: Making Very Large Scale Linear Algebraic Computations Possible. - CU Boulder Applied Math Colloquium, Oct 2009

Fast matrix computations via randomized sampling. - Stanford applied math seminar, June 2009

Fast matrix computations via randomized sampling. - Lectures given in Sweden (Uppsala, KTH, Chalmers) in May 2009

Fast matrix computations via randomized sampling. - Georgiatech applied math seminar, April 2009

Fast numerical methods for solving linear PDEs. - AMS Annual Meeting, Jan 2009 (special session on the Mathematics of Knowledge and Information)

Fast matrix computations via randomized sampling. - GeorgiaTech, Dec 2008

Fast matrix computations via randomized sampling. - University of Toronto, April 2008

Fast matrix computations via randomized sampling. - University of Pennsylvania, Jan 2008

Fast numerical methods for solving linear PDEs. - University of Toronto, Jan 2008

Fast numerical methods for solving linear PDEs.

Randomized methods for the approximation of matrices (student talk). - IPAM, Lake Arrowhead workshop, Dec 2007

Randomized sampling of structured matrices. - Nov 2007, Duke applied math seminar.

*Similar talks were given at Stanford, Berkeley, IPAM, and Caltech.*

Fast numerical methods for solving linear PDEs. Berkeley version. IPAM version. - Los Angeles, Sep 2007, IPAM tutorial

Randomized methods for the approximation of matrices. - Zurich, July 2007, ICIAM

Two randomized methods for the approximation of matrices. - Zurich, July 2007, ICIAM

Fast direct solvers. - Zurich, July 2007, ICIAM

Rapid evaluation of electrostatic interactions in multi-phase media. - Austin, TX, March 2007, Numerical Analysis Seminar

Randomized algorithms and fast direct solvers. - Golden, CO, Dec. 2006. Math/CS Colloquium.

Methods for computing approximate solutions to linear boundary value problems. - Boulder, CO, Sep. 2006. Applied Math Colloquium.

An overview of numerical methods for linear PDEs, with exhortations to use methods based on integral equations. - Boulder, CO, Dec. 2005.

An informal talk describing my research to applied math grad students. - Boulder, CO, Oct. 2005.

The Fast Multipole Method. A talk in the computational math seminar. - Austin, TX, July 2005, USNCCM.

"Fast direct methods for boundary value problems". - Austin, TX, July 2005, USNCCM.

"Multiscale modelling of materials with periodic micro-structures". - Austin, TX, July 2005, USNCCM.

"Bandgap phenomena in materials with periodic skeletal micro-structures". - Stockholm, Uppsala, Goteborg, Kiel, Leipzig, and Lund, Feb. 2004.

"A fast direct solver for boundary integral equations in two dimensions".

- Karlstad, Feb 27th, 2004

"Boundary integral equation techniques for solving Partial Differential Equations".

- Austin, May 20th, 2004

"A fast direct solver for boundary integral equations in two dimensions".

- IABEM, May 24th, 2004

"A fast direct solver for boundary integral equations in two dimensions".