Interpolation for Brill–Noether curves in $${\mathbb {P}}^4$$

We compute the number of general points through which a general Brill–Noether curve in $${\mathbb {P}}^4$$ passes. We also prove an analogous theorem when some points are constrained to lie in a transverse hyperplane. As explained in [10], these results play an essential role in the first author’s proof of the Maximal Rank Conjecture [9].