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.

my CV

Courses

I'm TA for math 1220h, honors calc II. The course webpage is here.

I'm currently taking math 7390: arithmetic of curves, taught by David Zywina. Here is the latest version of the course notes. The source code is If you'd like to help edit them, get a GitHub account and send me an email.

I'm currently taking math 7400: homological algebra, taught by Yuri Berest. Here is the latest version of the class notes, mostly written by me, but also by Yuri and Sasha Patotski. The source code is on GitHub.

Conferences / talks

I'm currently co-organizing the Number theory seminar with David Zywina. 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 .