Alex He

About me

I am a Postdoctoral Research Associate in Topology at the University of Sydney until 1 June 2026, and am on the job market for a subsequent academic position.

I was previously a postdoctoral fellow at Oklahoma State University (OSU) from August 2024 until May 2025, and prior to that I was a PhD student under the supervision of Ben Burton at the University of Queensland (UQ).

GitHub: https://github.com/AlexHe98

ORCID: https://orcid.org/0000-0002-2189-4942

Email:

This website usually contains more up-to-date information, but here is my CV.

My research

In rather fanciful terms, I use computers to study alternate universes. In more precise terms, my research interests are in computational 3-manifold topology. In particular, I have spent a lot of time developing algorithms for 3-manifold topology that are suitable for software implementation. This often requires finding a delicate balance between simplicity (so that we can write the code) and efficiency (so that we can run the code). I make especially frequent use of the software package Regina.

Drawing pictures is one of the perks of studying topology. You can find some pictures of the objects that I work with in this introductory slide that I made when I was still a student. More pictures can be found in some mathematical posters and postcards that I've created (see below).

Collaborators

I've found that I really enjoy collaborative research. I have been lucky to collaborate with the following people:

Mathematical posters and postcards

Here is a poster that I created in 2022, which outlines a practical algorithm for handlebody recognition:

PosterHandlebody.pdf

Here are some mathematical postcards that I created for various editions of The Nearly Carbon Neutral Geometry and Topology Conference (NCNGT):

Postcard_EmbeddedGraphs.pdf

Postcard_ArcDiagrams.pdf

Postcard_Crushing.pdf

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