The hunt for new invariants

Published

16 April 2025

at

Dennis Eriksson is the recipient of a grant from the Verg Foundation for his project “The hunt for new invariants: in the intersections of arithmetic and algebraic”. The grant is worth SEK 2.2 million and will fund a postdoctoral position for two years.

What changes – and what stays the same?

In this project, what in mathematics are called invariants will be investigated – properties that do not change, even if you turn a mathematical object over and around. The goal is to discover patterns that are otherwise difficult to see, and thus understand how mathematics is connected in depth.

The project’s invariants arise from the meeting of two branches of mathematics, algebraic geometry and number theory, and methods from both fields are used to understand both their form and structure.

Dennis is grateful for the grant and believes that it can enrich the entire research group:

“With a postdoc in the next two years, I not only get a new partner with complementary skills – the entire research group is strengthened. It feels really great. In particular, there are several projects that I have wanted to carry out for some time, but which I expect to use methods that are a little far away from my direct expertise. I now hope to be able to implement these,” says Dennis Eriksson.

Text: Daniel Stahre

Area

Science and Information Technology