I am a professor for computational number theory at Kaiserslautern University. I a PI of the DFG (German research association) funded OSCAR project as well as a developer of both OSCAR and Hecke.
We present OSCAR, an Open Source Computer Algebra Research system for abstract algebra, algebraic geometry, group theory, number theory, and more. It joins existing world class systems under a common Julia interface in the Oscar.jl package. Applications exist well beyond pure mathematics (e.g. in coding theory, cryptography, robotics, ...).
We give an overview of existing and planned capabilities. We also discuss what sets us apart from Symbolics.jl.