The Coleman–Oort conjecture says that for large g there are no positive-dimensional Shimura subvarieties of $${\mathsf {A}}_g$$ generically contained in the Jacobian locus. Counterexamples known $$g\le 7$$ . They can all be constructed using families Galois coverings curves satisfying a numerical condition. These already classified cases where: (a) group is cyclic, (b) it abelian and family 1-d...

New machine-learning methods show evidence of a quantum spin liquid in 2D model, offering guide to search for materials hosting this exotic state, which electrons splinter into spinons, with potential use devices.