Daniel Miller

PhD student in mathematics

120 Malott Hall
Cornell University
Ithaca, NY 14853
Email: dm635@cornell.edu

I'm interested in Algebraic number theory.

My adviser is Ravi Ramakrishna.

Conferences / talks

I'm currently the (unofficial) organizer of the seminar in Number Theory. You can find titles and abstracts here.

I recently participated in a conference on Ramification and Hopf-Galois module theory. Slides and abstracts can be found here.

My notes and Beamer slides for the Upstate New York Number Theory conference.

I gave an expository talk on Frobenii in the Olivetti Club at Cornell. Notes can be found here.

Papers / books

I've collated all LaTeX'd versions of SGA that (I know) exist. I'm also currently in the process of typesetting SGA 4½; it can be found here.

New as of July 2013: Shinichi Mochizuki has just posted new versions of his papers on Inter-universal Teichmuller Theory. They can be found at the bottom of this webpage.

These are various books / papers I think might be nice to read:

• Böckle's notes on deformation theory.
• Brinon and Conrad's notes on p-adic Hodge theory, and their preparatory notes.
• Gabber and Romero's book on almost ring theory, and their more recent book on foundations of almost ring theory.
• Scholze's paper on perfectoid spaces, and his fantastic Mathoverflow answer
• Greg Smith's paper on computing sheaf ext.
• Ravi Vakil's notes on algebraic geometry.
• A paper I coauthered in the 2011 SMI at Cornell.

Informal stuff

Here is a fantastic road map for learning arithmetic geometry, by Matthew Emerton.

On quora.com, an anonymous user wrote a very nice summary (for non-mathematicians) on what it is like to understand advanced mathematics. I took the liberty of TeXing the answer.

The math department webmail can be accessed here.

I got annoyed enough at the lack of add-free printable lined paper that I took someone's (I can't remember who) TeX file and modified it slightly. You may find my PDF here .