Now you see me (Book 1) by Sharon Bolton

Late one night after interviewing a witness, Lacey Flint, a young detective constable, stumbles onto a woman brutally stabbed just moments before. Within twenty-four hours, a reporter receives an anonymous letter pointing out alarming similarities between the murder and Jack the Ripper's first murder―a letter that calls out Lacey by name. If it's real, and they have a killer bent on re-creating London's bloody past, history shows they have just five days until the next attempt.

No one believes the connections are anything more than a sadistic killer's game, not even Lacey, whom the killer seems to be taunting specifically. But as the case unfolds, the details start reminding Lacey of a part of her own past she'd rather keep hidden. And the only way to do that is to catch the killer herself