Alex He

About me

I am currently a PhD student under the supervision of Ben Burton at the University of Queensland (UQ). I will be starting a postdoctoral fellowship at Oklahoma State University (OSU) in August, 2024.

In rather fanciful terms, my research involves using computers to study alternate universes. In more precise terms, my research interests are in computational 3-manifold topology. In particular, I have spent a fair amount of time thinking about the computational complexity of working with objects like triangulations and normal surfaces, since such objects lie at the heart of many of the algorithms that are used to solve topological problems in practice (for instance, see 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. More pictures can be found in some mathematical posters and postcards that I've created (see below).

I've found that I really enjoy collaborative research. You can find a list of my collaborators at the bottom of this page.


Email: a.he@uqconnect.edu.au

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

GitHub: https://github.com/AlexHe98 

Mathematical posters and postcards

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

PosterHandlebody.pdf

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

Postcard_EmbeddedGraphs.pdf
Postcard_ArcDiagrams.pdf
Postcard_Crushing.pdf

Collaborators

I have been lucky to collaborate with many other people, including: