Education, outreach, cross-disciplinary, press
- Five mathematical hand-written inserts on topics in data analysis and physics, as part
of: Discriminating Data: Correlation, Neighborhoods, and the New Politics of Recognition.
by W. H. K. Chun, with mathematical illustrations by A. H. Barnett.
(MIT Press, expected early 2021).
- Polarization (magnetic).
- Principal Component Analysis.
- Bayes Theorem.
- Linear Discriminant Analysis.
- Making a computational tool even faster. Simons Foundation 2019 Annual Report.
Introduction to interpolation, integration, and spectral methods (see Lecture I; lecture II by Keaton Burns). Given at
Flatiron-Wide Algorithms and Mathematics (FWAM), 10/30/19.
- Snapshots of modern mathematics from Oberwolfach: Fast solvers for highly oscillatory problems, A. H. Barnett, 9 pages (2017).
This is aimed at advanced high school or first-year university students.
- Computed eigenmodes of billiards that I produced, Sept 2009,
feature in Peter Sarnak's review article, Recent Progress on QUE,
and Dana Mackenzie, What's Happening in the Mathematical Sciences, Volume 8 (AMS, Jan 2011), and Shin-ya Koyama, "Arithmetic quantum chaos and zeta functions",
Suurikagaku, vol. 571 (2011) Saiensu-sha,
and Shin-ya Koyama, "From primes and zetas to arithmetic quantum chaos"
Nihon Hyoronsha (December 2010).
- Convolution: son et lumiere. Issue 01 of Convolution.
A Journal for Experimental Criticism, (October 2009),
(preprint PDF 0.5MB)
- Cover image for Notices of the AMS, January 2008. Computed eigenmodes
numbered 1, 10, 102, 103, 104,
105 of a uniformly hyperbolic billiard, with background
of random waves. (Accompanying article by Z. Rudnick)
- Resources on boundary integral equations.
- Lecture notes, worksheets, homeworks, exams, resources, from courses I created or helped create (for others see here):