This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Count Dracula orders take-out, Italian When the unsuspecting porn star arrives at Dracula's door, she is amused by his unusual fantasy. He wines and dines her until late into the night. She has the one thing he needs. She doesn't believe in real vampires, but for the right amount of money she will do anything the Count requests, even letting him bite her neck.

If you like vampire stories, this book is packed with them. Here, you'll discover five of Glenn's classic bone-chilling tales of blood-lust. If you enjoy vampire poetry, there are seven exclusive vampire themed poems. If you were to purchase these stories and poems separately, you would easily spend over $30. Also included is a bonus short story about a vampire teddy-bear that bites. Ouch Halloween Ball at Dracula's Castle It's Halloween night and the Count is throwing a party for his undead friends. Guess who the main course is Join Jill and Vickie, two college cheerleaders, as they accept Dracula's special invitation to the Ball. Can two cheerleaders fight back against the evil forces surrounding them this Halloween night? Babysitting a Vampire It's late at night and your strange pale next door neighbor needs someone to watch little Johnny. What happens during a thunderstorm when little Johnny is hungry and you're fresh out of baby formula? Will Karen be able to keep him under control until sunrise? For someone so young, little Johnny seems to have incredible strength. Living Next Door to a Vampire A new neighbor moves in to the apartment next door about the same time a woman is murdered nearby. Her body, drained of blood, and there are puncture wounds on her neck. The new neighbor is identified as the killer, but manages to get out of jail. He's knocking on Karen's door. He wants to be friends. He swears he's not the killer. Can she save herself or does she become his next meal? The Vamp and the Tramp Count Dracula orders take-out, Italian When the unsuspecting porn star arrives, he wines and dines her. She has something that he wants. She doesn't believe in vampires, but something happens that night and changes her mind. The Black Widow It's Halloween night and a werewolf is loose in downtown Chicago. Can the police stop this creature before the body count stacks up. The Valentine Gift - Bonus Story Joe gets his wife something special for their first Valentines Day, except this gift has fangs and bites Vampire Poems A collection of seven exclusive vampire themed poems. Vampire Feast, A Vampire's Agony, A Vampire is No Beast, Our New Day, Vamp and the Tramp, I'm a Vampire, and A Vampire's Needs.

A new neighbor moves in to the apartment next door about the same time a woman is murdered nearby. Her body, drained of blood, and there are puncture wounds on her neck. The new neighbor is identified as the killer, but manages to get out of jail. He's knocking on Karen's door. He wants to be friends. He swears he's not the killer. Can she save herself or does she become his next meal?

It's late at night and your strange pale neighbor next door needs someone to watch little Johnny. What happens during a thunderstorm when little Johnny is hungry and you're fresh out of baby formula? Will Karen be able to keep him under control until sunrise? For someone so young, little Johnny seems to have incredible strength.

It's Halloween night and the Count is throwing a party for his undead friends. Guess who the main course is Join Jill and Vickie, two college cheerleaders, as they accept Dracula's special invitation to the Ball. Can two cheerleaders fight back against the evil forces surrounding them this Halloween night and escape with their prize money?

It's Halloween night and a monster is loose in downtown Chicago. Can the police stop this creature before it's too late?