In this meeting, we plan to bring together mathematical physicists who are specialized in mathematical aspects of quantum field theory, quantum gravity, and string theory. The workshop will focus on four intertwined pillars: 1. Locality and observables, 2. Symmetry and duality, 3. String compactifications, 4. Numbers and singularities. Besides providing an opportunity to exchange knowledge at the frontier between theoretical high energy physics and mathematics, this Topical Workshop will bring together a still underrepresented minority of excellent women, with the aim to foster equal opportunities by networking and improving their visibility within the scientific community.