## Rebecca Bellovin

I am a Junior Research Fellow here at Imperial College. Previously, I have been an NSF postdoc at UC Berkeley and a graduate student at Stanford; I received my Ph.D. in 2013 under the supervision of Brian Conrad. My thesis was on p-adic Hodge theory in rigid analytic families.

My e-mail address is my first initial dot my last name at imperial dot ac dot uk.

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Papers and preprints:

arXiv, Wach modules, regulator maps, and epsilon-isomorphisms in families (with O. Venjakob). Submitted.

arXiv, journal p-adic Hodge theory in rigid analytic families. *Algebra & Number Theory* 9 (2015), no. 2, 371–433.

arXiv Generic smoothness for $G$-va
lued potentially semi-stable deformation rings. To appear in *Annales de l'Institut Fourier*.

arXiv Newton polygons for a variant of the Kloosterman family (with S. Garthwaite, E. Ozman, R. Pries, C. Williams, and H.J. Zhu). *Women in numbers 2: research directions in number theory* 2013, 47–63.

### Teaching

In Spring 2017, I will be teaching M3/4/5P12 Group Representation Theory.

### Expository notes

Here are some things I've written, on various topics.
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.