I've been narrowing down what makes Talia's master infamous. His infamy is such that he gauntlets magi other's would not. Tytalus apprentices need to stand up to their masters and demand the gauntlet. His method is to push the apprentice hardest in the areas where they are weakest and completely ignore the natural strengths and talents of his apprentice. The Order as a whole doesn't understand his method, and his House as a whole could care less one way or another. Only by acknowledging or understanding their own weakness can the apprentice be a responsible magus creating their own path for studying the Arts in their own specific way.
At Talia's gauntlet, there was a debate, but Talia would not initiate magic. When Erimas did, by casting a forceless Pilum of Fire at Talia, and she responded with Invisible Sling of Vilano instead of her own Pilum of Fire, he declared Samanta a magus, and she took the name Talia, because she understood that despite the efforts undertaken to teach her Ignem to the exclusion of almost everything else, Invisible Sling of Vilano was the better spell, even though it might leave her weakened. (I'm not really happy with this, I'll probably revise it here, but I'm on my phone and don't have a good WP to do this on.