Rebecca M. Bellovin

I am a mathematician studying algebraic number theory and algebraic geometry; I also have a long-standing interest in cryptography. I am currently a Rankin–Sneddon Fellow at the University of Glasgow; I was previously a postdoc and Imperial College Research Fellow, and prior to that, I was 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.

Here is my academic cv and here is my industry cv.

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

Papers and preprints:

Preprint. Modularity of trianguline Galois representations.

arXiv. Cohomology of (phi, Gamma)-modules over pseudorigid spaces.

arXiv, Galois representations over pseudorigid spaces. Submitted.

arXiv, journal G-valued local deformation rings and global lifts (with T. Gee). Algebra & Number Theory 13 (2019), no. 2, pp. 333-378.

arXiv, journal Wach modules, regulator maps, and epsilon-isomorphisms in families (with O. Venjakob). International Mathematics Research Notices 2019, no. 16, pp. 5127-5204.

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

arXiv, journal Generic smoothness for G-valued potentially semi-stable deformation rings. Annales de l'Institut Fourier 66, no. 6 (2016), pp. 2565-2620.

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, pp. 47-63.

Teaching

In Spring 2022, I am teaching 4H/5E Galois Theory.

In Spring 2017, I taught 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 was given by Melanie Wood.

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.