This quest is initiated when you read the noticeboard outside the inn and read the Arrest Warrant for the Professor. There’s nothing more to do here in Chapter 1 and this quest will be completed in Chapter 2 and Chapter 3.
You’ll see the Professor again when you’re thrown into Prison at the beginning of Chapter 2. If you miss reading the Arrest Warrant this quest will activate once you see the Professor being released from prison.
Next: Chapter 2
Back: Chapter 1