Order as a Unifying Language of Mathematics: From Algebra and Topology to Computation and Beyond
Audience
Suitable for students and teachers for upper secondary level and above
Description
This lecture series will feature eminent local mathematicians or mathematics educators to share with the public some of their interests and ideas.
Speaker
Ho Weng Kin is an Associate Professor at the National Institute of Education, Nanyang Technological University (NTU). His research interests lie in programming language semantics and domain theory, where topological ideas are applied to ordered structures. He works on ordered structures, topology, category theory, and their connections to computation. He is also interested in tertiary mathematics education, computational thinking, and the use of technology and coding in mathematics education.
Synopsis
Order theory studies one of the most fundamental mathematical ideas: comparison. Long before numbers and equations, we reason using notions such as “more or less” and “finer or coarser.” In this lecture, we explore how order-theoretic thinking provides a unifying perspective across areas such as algebra, topology, logic, and computation. Through accessible examples, we show how structure, reasoning, and approximation can be understood through order. We conclude by reflecting on why order theory continues to play an important role in contemporary settings such as programming languages, data analysis, and artificial intelligence.
Date/Time
Date: 11 March 2026
Time: 4 – 5 pm
Venue: LT27 (NUS Science Faculty)
Registration
Register here by 4 Mar 2026.
Coordinator
Dr Amanda Soon
pvoswma@nus.edu.sg
