Mrs. Holmes, somehow, is the Napoleon of crime.
Mother Holmes, the woman who is a mathematical genius and has written a book (according to fansites) called Dynamics of Combustion--these are two key elements of Moriarty's character in the original stories.
Is he not the celebrated author of The Dynamics of an Asteroid, a book which ascends to such rarefied heights of pure mathematics that it is said that there was no man in the scientific press capable of criticizing it?—Sherlock Holmes, The Valley of FearIt's been the subject of comment in a number of places, and yet consistently no one seems to conclude that this might indicate something about Mrs. Holmes' character. Also, Jim Moriarty keeps threatening to "burn the heart out of you," indicating that he at least believes he also understands something of the dynamics of combustion. Perhaps he intends to complete what he believes Mrs. Holmes failed to finish? Mother Holmes, who made no appearance in Sherlock's mind palace as he lay dying. The only member of his family to show up there was Mycroft, who served as a stand-in for the parents. Mother Holmes, who has a lot to answer for--"You should tell her that. She doesn't understand much." Mother Holmes, whom Mycroft attempted to stand in for. Also, the putting down of Redbeard is compared by Sherlock to being murdered, essentially, and it's still one of his pressure points after all these years. Mycroft became a machiavellian manipulator who runs England, and Sherlock became a damaged, drug addicted, high functioning sociopath. John said they (his parents) seem so normal. Sherlock said that's his burden to bear, or words to that effect. And her husband is the sane one. Something's really, really wrong in the family Holmes.