Education, outreach, crossdisciplinary, press

Echoing Resynthesis, W. H. K. Chun and A. H. Barnett,
11 page article in the collection
RESYNTHESIZERS (Art Editions, Urbanomic / Equitable Vitrines Gallery, January 2024).
Explains and explores the signal processing algorithms used in the work of
sound artist Florian Hecker, which include
scattering transforms
created by Stéphane Mallat, Joakim Andén,
Vincent Lostanlen, and others.
 Five mathematical handwritten 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, November 2021).
 Correlation.
 Polarization (magnetic).
 Principal Component Analysis.
 Bayes Theorem.
 Linear Discriminant Analysis.

FlatironWide Algorithms and Mathematics (FWAM3), 10/14/21:
Joys and pitfalls of numerical computing
(accompanying MATLAB/Octave demo codes:
pisqsix.m,
bigpca.m,
stoch.m,
linsys.m)
 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
FlatironWide 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).
(PDF 0.7MB).
This is aimed at advanced high school or firstyear 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 Shinya Koyama, "Arithmetic quantum chaos and zeta functions",
Suurikagaku, vol. 571 (2011) Saiensusha,
and Shinya 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, 10^{2}, 10^{3}, 10^{4},
10^{5} 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):