Raynaud's results on F-vector group schemes. These are notes I wrote for a talk in the learning seminar on Faltings's proof of the Mordell conjecture. They are actually part 2; part 1 (by Melanie Wood) can be found here.

Mordell conjecture. These are notes I wrote for another talk in the learning seminar on Faltings's proof of the Mordell conjecture.

Notes on Galois Cohomology. These are notes I wrote for a talk in the modularity lifting seminar.

Calculating Deformation Rings, for \ell \neq p. These are notes I wrote for another talk in the modularity lifting seminar.

Cryptography: Authentication, Blind Signatures, and Digital Cash. These are notes I wrote up for a talk on David Chaum's amazing work on digital cash. I've given the talk twice, once to high school students (at PROMYS) and once to undergraduates (at Stanford).

Cracking the Enigma. These are the slides for a talk I gave to Stanford undergraduates on an early Polish break of Enigma.