Alex Barnett

Local resources

Welcome! Here is my CV.

To find out about our group's research, and my contact details, see the Center for Computational Mathematics, Flatiron Institute, Simons Foundation, and the Numerical Analysis area. Research topics at CCM include signal processing, PDE, numerical analysis, fast algorithms, biophysics, fluids, waves, data analysis, computational statistics, deep learning, quantum simulation, neuroscience, and software libraries. We are seeking postdocs (FRFs) and research scientists.

Many of my papers are on arXiv, most are in google scholar; also see outreach and education. Research and teaching pre-2017 is also at a local copy of my former academic page as a professor of mathematics at Dartmouth College.

You can find some of my numerical software projects on github and on CCM's software page.

We seek high-quality submissions to the journal Advances in Computational Mathematics (ACOM), for which I am co-Editor in Chief. I was a guest editor for this topical collection on integral equations. In 2019 I was the main organizer for Flatiron-Wide Algorithms and Mathematics (FWAM), now in its fourth incarnation.

Meetings: Wednesdays at 10am we have the CCM Colloquium / Group Meeting. Alternating Tuesdays at 10am we have Scientific Computing Discussion Group, and some Thursdays at 10am we have Scientific Computing Seminar. If you are at Flatiron with a numerical problem, come to Scientific Computing Office Hours.

Recent research images and movies

Click an image to play movie (MP4 format)...
Fresnel scalar diffraction intensity from a hard-edged occulter, to 12-digit accuracy, at 106 targets, in 0.05 s on a laptop. The petal design is a "starshade" for exoplanet astronomy (JATIS '21). 2D periodic rheology simulation via boundary integral equations: 25 rigid neutrally-buoyant ellipses per unit cell in a shearing Stokes flow (with J. Wang, E. Nazockdast; JCP '21) 3D acoustic wave equation via high-order Volterra time-domain boundary integral equations: pulsed plane wave scattering from smooth cruller shape to 5-digit accuracy (with T. Hagstrom, L. Greengard; JCP '20).

Selected news, talk slides, and outreach

Other links