Beginning of 2025

In the beginning of 2025, our group has been extremely active. Magda and Pavlo studied additively indecomposable quadratic forms over totally real number fields, and together with Robin, resolved conjectures of Vukusic and Ziegler about sums of two units. Further, Gordon, Nicolas, Pavlo, and Stevan made a first breakthrough about Pythagoras numbers of rings of integers of infinite algebraic fields.