Alex Barnett
Welcome! Here is my CV.
To find out about our group's research, and my contact details,
see the new
Center for Computational Mathematics, Flatiron Institute, Simons Foundation, and the
Numerical Analysis area.
Many of my papers are on
arXiv and most are in
google scholar.
Research and teaching from 2017 and earlier is available at my former academic page as a professor of mathematics at Dartmouth College.
You can find some of my numerical software projects on
github
and via CCM's
software page.
We seek highquality submissions to the journal Adv. Comput. Math.,
for which I am coEditor in Chief. We have a special issue on integral equations, deadline August 2020.
Most Wednesdays at 10:30am we run our weekly numerical analysis / CCM seminar,
on topics including signal processing, PDE, numerical analysis, fast algorithms, data analysis, statistics, and neuroscience.
Recent research images and movies
Click an image to play movie (MP4 format)...


2D periodic rheology simulation via boundary integral equations: 25 rigid neutrallybuoyant ellipses per unit cell in a shearing Stokes flow (with J. Wang, E. Nazockdast)

3D acoustic wave equation via highorder Volterra timedomain boundary integral equations: pulsed plane wave scattering from smooth cruller shape to 5digit accuracy (with T. Hagstrom, L. Greengard).

Slides from recent talks
 FlatironWide Algorithms and Mathematics (FWAM), 10/30/19:
Introduction to interpolation, integration, and spectral methods (see Lecture I; lecture II by Keaton Burns).
 Widely Applied Math seminar, SEAS, Harvard, 10/17/19:
Building a better nonuniform fast Fourier transform.
 Mathematical Fluids, Materials and Biology, U. Michigan, 6/14/19:
Fast boundary integral solvers for Stokes flows: quadrature, periodization, adaptivity.
 SIAM CSE, Spokane, WA, 3/1/19: Overview of highorder Nyström surface quadratures for fast solvers (review talk).
 Random geometries / Random topologies, ETH Zürich, 12/4/17:
Experimental NazarovSodin constants, genus, and percolation on nodal domains for 2D and 3D random waves
(given remotely to save CO_{2}).
Useful links