Mathematicians Prove the Burau Representation is Faithful for n = 4

The Burau representation of the braid group is faithful for n = 4

We have finally proven that the Burau representation of the classical braid group is faithful for n equals 4. Building on earlier ideas from Moody, Long, Long-Paton, and Bigelow, our work confirms this long-standing conjecture. This result immediately implies that the Jones representation of the braid group is also faithful for n equals 4, resolving a significant question in geometric topology and group theory.