We show that *n*-terminal Josephson junctions with conventional
superconductors may provide a straightforward realization of tunable
topological materials in *n*−1 dimensions, the independent superconducting
phases playing the role of quasi-momenta. In particular, we find
zero-energy Weyl points in the Andreev bound state spectrum of 4-terminal
junctions. The topological properties of the junction may be probed
experimentally by measuring the transconductance between two voltage-biased
leads, which we predict to be quantized.