Xiao Wei Huang
UNSW Sydney
I’m an Applied Mathematics Honours student at UNSW and my Honours project focuses on optimisation and convex geometry.
Give me a quick overview of the type of mathematics you are studying, and/or the aims of your research and its potential applications/outcomes
My research area is in convex geometry, where I study the measured facial dimension signature of convex sets, which is simply a combinatorial characterisation of their facial structures. This has fundamental implications for optimisation theory because understanding the underlying geometry helps inform computational complexity bounds, convergence behaviour, and the choice of representational framework when modelling and solving optimisation problems.
How did you get into the mathematical sciences? Was there someone or something that inspired you to this field?
I first became interested in mathematics in high school, when a wonderful teacher introduced me to enrichment topics like fractals. I was especially captivated by the infinite complexity and beautiful recursive patterns of the Mandelbrot set. That experience sparked my curiosity, and I’ve loved maths ever since.
You received a grant to attend AMSI Summer School. How important was this in terms of your ability to attend, fully participate in the program and meet others studying in similar fields?
This travel grant made an enormous difference as I’m based in Sydney. It helped cover the costs of accommodation and transport and was key to enabling me to attend the program in person. Beyond the financial support, it gave me the opportunity to connect with other aspiring mathematicians face to face, which was invaluable for building meaningful relationships.
What was the most valuable part of the program for you?
The most valuable part was meeting like-minded peers from different backgrounds and exchanging ideas. I built genuine connections in a collaborative and friendly environment, which truly enriched my learning experience.
In the long-term, what do you think are the benefits of having attended Summer School?
In the long-term, as AMSI Summer School helped me develop both academic and career-ready skills, I expect it will ultimately shape the next steps of my professional journey.
Summer School included a special Careers Day program which aims to help give students an idea of the kinds of career paths available to maths graduates in industry and private sector research areas. Do you feel better equipped to explore career options in the mathematical sciences after attending AMSI Summer School?
AMSI Careers Day offered valuable insights into non-academic career pathways across a range of sectors, including finance and data science. It also deepened my understanding of how my mathematical training can be applied in industry.
What advice would you give to someone who is considering applying for Summer School in 2027? Should they apply and why?
I would recommend AMSI Summer School to any mathematics students as it broadens your academic horizons and gives you the opportunity to meet lots of wonderful people.
What are your current career ambitions in the mathematical sciences sector?
I hope to transfer the skills I’ve gained in the mathematical sciences to an industry setting, where I can help solve real-world problems.
How did connecting with the community at AMSI Summer School support your experience?
Connecting with the community at AMSI Summer School gave me momentum to keep pushing the boundaries of what I can achieve.
Any other feedback/comments you would like to provide on the AMSI Travel Grant or AMSI Summer School 2026?
It was a fantastic experience and I look forward to participating in another AMSI event in the future!