Posts

Showing posts from January 30, 2022

Noetherian information systems

Image
These are notes for a colloquium talk to be given at NITheCS. The Snake Lemma from this fragment of a 1980 film ("It's My Turn", starring Jill Clayburgh and Michael Douglas), along with many other similar theorems in abstract algebra, known to be true for a variety different algebraic settings, can all be established in a unified setting of noetherian forms. This post attempts to give a preliminary step towards a possibly ambitious goal of applying noetherian forms outside abstract mathematics. In this light we propose a variation of this notion, a "noetherian information system", which is intended to be more agile in terms of identifying applications. General Information Systems By a network  we mean a web of devices and directed binary channels between them ( = a graph in the sense of category theory). An information system  over a network consisting of just one device and no channels, is a collection of information clusters , where some clusters may be par

Research Interests of 2+ Year Level 2022 Mathematics Teaching Staff at Stellenbosch University

Image
The content of this post is author's adaption of photos and information sourced from open internet. Liam Baker Broad research interest: number theory Year of first publication: 2016 Bruce Bartlett Broad research interests: topology, geometry, category theory Year of first publication: 2011 Dirk Basson Broad research interests: number theory, algebra Year of first publication: 2017 Ronalda Benjamin Broad research interests: analysis, topology, algebra Year of first publication: 2016 Gareth Boxall   Broad research interests: logic, number theory, analysis Year of first publication: 2011 James Gray Broad research interests: category theory, algebra Year of first publication: 2010 Retha Heymann Broad research interest: analysis Year of first publication: 2014 Michael Hoefnagel Broad research interests: category theory, algebra Year of first publication: 2019  Karin-Therese Howell Broad research interest: algebra Year of first publication: 2010  Zurab Janelidze Broad research interests: