Education, outreach, cross-disciplinary, 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 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, November 2021).
  1. Correlation.
  2. Polarization (magnetic).
  3. Principal Component Analysis.
  4. Bayes Theorem.
  5. Linear Discriminant Analysis.
• Flatiron-Wide 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 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). (PDF 0.7MB). 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):
  • Math 5: The Mathematics of Music and Sound (Fall 2011 incarnation)
  • Math 53: Chaos! (Fall 2015 incarnation)
  • Math 56: Computational & Experimental Mathematics (Spring 2014 incarnation)
  • Math 126: Numerical analysis for PDEs and wave scattering (Winter 2012 incarnation; graduate level)
  • Math 116: Great papers in numerical analysis and computational algorithms (Spring 2014; graduate level)
  • Math 147: Graduate Teaching Seminar (Summer 2017 incarnation)
  • V63.0394: Mathematical Wave Dynamics (Spring 2004).