Rob Corless, Editor-in-Chief Maple Transactions

This page provides links to my papers & other expositions; connective tissue for an internet world

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Maple Transactions

I am the Editor-in-Chief for Maple Transactions , a “diamond class” open-access scholarly journal. The purpose of Maple Transactions is to disseminate excellent expositions on topics of interest to the Maple community. What “diamond class” means is that there are no page charges or fees of any kind, and you need not use Maple to be published in this journal.

I am also on the executive for the Computer Assisted Research in Mathematics and Applications (CARMA) centre , and a member of the Rotman Institute of Philosophy.

The "Perturbation Methods Using Backward Error" 2026 Desk Calendar will be distributed by SIAM early next year (hopefully at the JMM).

All images in the calendar were produced in Maple. A PDF Version can be found at this link . The calendar is to help market My New Book with Nic Fillion, “Perturbation Methods Using Backward Error”, available early next year.

For a description of the images, see the paper in Maple Transactions

My current obsession: Bohemian Matrices

The Wikipedia entry on Bohemian Matrices

See bohemianmatrices.com for more information about Bohemian matrices.

My book, with Neil Calkin and Eunice Chan: Open access, Open Educational Resource version

Computational Discovery on Jupyter Chapter 5 (or is it Unit 5? With a Jupyter Book the old words for divisions of a book are a bit obsolete) covers Bohemian matrices at an entry level. The book was published by SIAM in November 2023. You can find it at The SIAM Bookstore online

Jupyter and Maple

A version of the book using the Maple kernel for Jupyter notebooks is under construction. Here is one such notebook, which validates a hand computation of approximate zeros of the Fibonacci function.

An example Jupyter notebook linking to a Maple kernel.

Here is another, which is a paper in Maple transactions.

Two-cycles in the infinite exponential tower

Research Interests

I have three major overlapping research areas: computational dynamical systems, computational algebra, and computational special functions, each of which is used in scientific and engineering applications. My main overall concern is for the fidelity and reliability of these algorithms in actual applications. The main approach that I use is Computer-Mediated Thinking or Computational Discovery, or Computational Epistemology. That link goes to a paper describing that idea in a teaching context, but it is a much broader idea, namely that the combination of human plus computer, especially equipped with thin slices of Artificial Intelligence, can be better than the human alone.

Various Items