Sam Groocock
The University of Adelaide
I am currently studying a Master of Philosophy (MPhil) at the University of Adelaide, pursuing a project in higher equivariance and string geometry. My research concerns certain constructions of bundle gerbes and higher dimensional objects, as well as their relation to concepts in theoretical physics, such as string theory. Prior to starting my MPhil I completed a Bachelor of Mathematical Sciences (Advanced) at the University of Adelaide giving me a strong background in pure mathematics and abstract problem solving. My research interests are primarily in higher geometry, topology, category theory, and differential geometry. Following my MPhil I am aspiring to complete a PHD in pure mathematics.
Can you give me a quick rundown about the type of mathematics you are studying and its potential impacts for the broader community (think how you would explain your work and studies to others who don’t study maths)
Broadly, I study pure mathematics, which is the study of abstract mathematical concepts and structures. To a non-mathematician I would describe this as the idea of building mathematical tools and working to understand complicated concepts, rather than solving specific real world problems. Many areas of pure mathematics have remained unapplied for long periods of time before eventually solving problems that we didn’t know existed.
My research lies in an area of mathematics called higher geometry, or the study of higher dimensional objects. Specifically what I study concerns a set of fundamental objects known as bundle gerbes, which relate to the mathematics behind string theory.
How did you get into mathematics/statistics/data science? Was there someone or something that inspired you to this field?
I have always enjoyed puzzles and problem solving. In my mind, mathematics is a language that has been developed to help solve problems and concisely describe complicated concepts. I have followed mathematics this far as a result of my interest in problem solving and more broadly logical thinking itself.
I wouldn’t say that a single individual inspired me into mathematics. But in my time studying I have met many knowledgeable mathematicians that have inspired me to continue my studies.
You received a Travel Grant to attend AMSI Summer School 2025. How important was this in terms of your ability to attend, fully participate in the program and meet others studying in similar fields? Do you think it was an advantage to attend the program in-person?
I would not have been able to attend AMSI Summer School 2025 in-person without the Travel Grant. It is far more rewarding to study mathematics in person. It is easier to discuss with peers, you can throw ideas up on the whiteboard and experiment to find what works. As a result, I am not sure I would have attended the summer school at all if I had not gotten the opportunity to study in-person. To this end, I would say the Travel Grant was vital to my attendance, and for mathematics, it is an immense advantage to study such a program in-person.
What was the most valuable part of the program for you?
The most valuable part of the program was being able to study advanced mathematics with such an awesome group of peers. The mathematics we studied was abstract and difficult, but I got the chance to learn a lot by living and working in such close proximity with so many incredible individuals.
In the long-term, what do you think are the benefits of having attended Summer School?
The networking may very well turn out to be invaluable, but I think I will appreciate the chance to broaden my knowledge even more so. The course I studied, Algebraic Knot Theory, is unlike any of the courses offered by my home university. As such, it was an incredible opportunity to study such an advanced and abstract course which I wouldn’t be able to do otherwise.
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?
The Careers Day certainly exposed me to many companies which offer some incredible career paths. At the moment I think I intend on pursuing further research, but if I ever decide to look for a job in industry, the Careers Day has shown me that there are some amazing opportunities.
What advice would you give to someone who is considering applying for Summer School in 2026? Should they apply and why?
It is truly an incredible opportunity. You will meet some amazing peers, and learn a lot.
What are your current career ambitions in the mathematical sciences sector? Currently I intend on proceeding to a PHD and then further research thereafter. How did connecting with the community at AMSI Summer School support your experience?
The community was amazing. Studying and living so close to so many mathematicians creates room for collaboration and lots of discussion. You get to see so many different perspectives and strategies for approaching problems