5 papers
How to read Mathematics? A study guide
Petra Schwer
Reading a math textbook isn't like reading a novel. You've probably already figured that out on your own. But how *do* you read mathematical texts? And how can you actually learn f…
The meaning of doing mathematics
Petra Schwer
Can AI solve all math? What do we actually mean by doing mathematics? How do we communicate mathematics? What is mathematics beyond problem solving? This essay is my attempt to ans…
The geometry of conjugation in Euclidean isometry groups
Elizabeth MiliÄeviÄ, Petra Schwer, Anne Thomas
We describe the geometry of conjugation within any split subgroup of the full isometry group of -dimensional Euclidean space. We prove that for any , the conjug…
Conjugator length of locally compact groups of Euclidean isometries
Yuri Santos Rego, Petra Schwer
We consider locally compact subgroups of the full isometry group $\Isom(\E^n)$ of Euclidean -space which respect the splitting into an orthogonal and a translation subgroup.…
The geometry of conjugation in affine Coxeter groups
Elizabeth MiliÄeviÄ, Petra Schwer, Anne Thomas
We develop new and precise geometric descriptions of the conjugacy class and coconjugation set for all…