Glory

Remember how we said that your fellow mathematicians are highly intelligent blah blah blahs that will talk about you at cocktail parties? They're also highly competitive. Almost all of them write their own books. They would much rather be the one to be the topic of party conversation. We're not saying this is all-out gladiatorial combat (usually), but it is a more cutthroat occupation than you might expect. That may be why the rewards are so massive.

While there is surprisingly no Nobel Prize in Mathematics, there are dozens of other highly prestigious awards available for you genius number-crunchers out there. These include the Abel Prize, with a cash-money amount of around one million dollars, and the Field's Medal, which Robin Williams' character in the film Good Will Hunting refers to as "like the Nobel, but they only give it out once every four years."

It's like the World Cup, only sometimes America actually wins. (Source)

You really do have the ability to shape the future with your mathematical contributions to advancements in technology. But don't be surprised if a jealous ne'er-do-well develops a healthy dislike of your accomplishments: For every fawning tech groupie, there's an Ian Malcolm-wannabe looking to take you and all of your accomplishments down.