Visualising complex functions: Enhanced phase portraits

Thursday 25 August 2022, 2:00pm (AEST, GMT+10)

Speakers: Juan Carlos Ponce Campuzano and Joseph Grotowski, University of Queensland

Abstract: Complex functions are essential mathematical objects in complex analysis. They play a fundamental role in other mathematical areas such as dynamics, algebraic and differential geometry, and number theory; and advanced theoretical physics such as quantum mechanics, string theory, and quantum field theory. Visualising complex functions is a non-trivial task since they will produce a graph existing in a four-dimensional space. In this presentation, we provide an overview of the method known as domain colouring to visualise and explore complex functions. We also present a set of open-source online tools which main goal is to help students, and anybody interested in this topic, to create significant connections between visual representations, algebraic calculations and abstract mathematical concepts about complex functions.

Location: Online via Zoom:

Seminar recording: will be available from the seminar website afterwards:

The AustMS/AMSI Teaching Seminar Series is a nation-wide seminar series featuring talks and discussions about any matters related to the teaching of the mathematical sciences in universities. The seminars are held online using Zoom videoconferencing software, allowing broad access by Australian academics. The seminars aim to engender discussion and foster best practice in mathematics and statistics education at Australian universities.

More information : Contact the organiser Dr Anthony Morphett (

Recent Posts