Some old lecture notes
I typed these notes while I was a master student in Bordeaux. It goes without saying that all possible mistakes are entirely mine. If you spot some typo or inaccuracy, don’t hesitate to contact me.
- p-adic numbers and Diophantine equations, lectures by Yuri Bilu, Fall semester 2013; updated 2014-09-24:
PDF file and LaTeX source - Heights, lectures by Fabien Pazuki, Spring semester 2014:
PDF file and LaTeX source
Some extra stuff
Here’s a picture of me as an anteater, oso hormiguero, courtesy of the Chilean artist Mauro Ceballos:
Here are some of my photos from Central America.
А frequently asked question: what is CADADR?
It is actually a rather random word, similar to “abracadabra”, that came to my mind when I was looking for a domain name. It comes from a computer programming language named LISP, where (cadadr x) = (car (cdr (car (cdr x)))). It was not intended to sound like cadavre or anything like that and it is not my nickname either.
Some texts that I couldn’t easily find on the web
Below I share for fair use some texts that I scanned myself or found in obscure places. I hope someone finds these useful and nobody objects.
- Michael Artin, Jean-Louis Verdier, Seminar on étale cohomology of number fields
- Spencer Bloch, The moving lemma for higher Chow groups
- Kazya Kato, p-Adic Hodge theory and values of zeta functions of modular forms
- Jean-Pierre Serre, Zeta and L functions
- Thomas Zink, Étale cohomology and duality in number fields
Some links
Here are some links that I have collected mostly for myself.
Places
- Institut de Mathématiques de Bordeaux
- Mathematical Institute at Leiden University
- Centro de Investigación en Matemáticas
People
- Mentors: Baptiste Morin, Bas Edixhoven
- Some friends with online presence: Max Mornev, Pavel Solomatin, José Ibrahim Villanueva Gutiérrez
- Some mathematicians on arXiv: Matthias Flach, Thomas H. Geisser, Stephen Lichtenbaum, Baptiste Morin, Niranjan Ramachandran
Mathematics
- researchseminars.org
- Séminaire Théorie des Nombres de Bordeaux
- Intercity Number Theory Seminar
- Algebra, geometry and number theory seminar in Leiden
- Leiden colloquium
- Libraries: Bordeaux, Leiden, Guanajuato
- Societé Mathématique de France
- Numdam
- Sociedad Matemática Mexicana
- Grothedieck Circle; Archives Grothendieck à l’Université de Montpellier
- The Stacks project
- SGA 1, SGA 2, SGA 3, SGA 4
- arXiv.org
- nLab
- LMFDB
- sci-hub.se, gen.lib.rus.ec
Some lecture notes online
- Various notes from Leiden
- J.S. Milne
- Daniel Murfet
- Keith Conrad
- Sasha Anan’in and Carlos H. Grossi (em português)
- “Foundations Of Algebraic Geometry” by Ravi Vakil
- Andreas Gathmann
- Grimoire Project by Lorenzo Ramero (en français)
- An introduction to Algebraic Geometry by Dmitry Kaledin (по-русски)
- Alexander Kuznetsov (по-русски)
- Pete L. Clark
- Paul Garrett
- Лекториум (по-русски)
- Minicurso de Geometría Algebraica Derivada impartido por Omar Antolín Camarena
Software
- Debian: the GNU/Linux distribution I’ve been using most of the time
- PARI/GP: a computer algebra system with emphasis on algebraic number theory
- Macaulay2: a computer algebra system with emphasis on commutative algebra and algebraic geometry
- GAP: a computer algebra system with emphasis on group theory
- Emacs: the program I’m using 99% of the time, also while writing this right now
- GitHub (my account)
Languages
- cnrtl.fr
- Lexilogos
- Real Academia Española
- Gallica
- Larousse
- Dictionnaire de l’Académie française
- wordreference.com