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soft question - What are good non-English languages for mathematicians to know? - MathOverflow
I'm with Deane here: I think learning foreign languages is not a very mathematically productive thing to do; of course, there are lots of good reasons to learn foreign languages, but doing mathematics is not one of them. Not only are there few modern mathematics papers written in languages other than English, but the primary other language they are written (French) in is pretty easy to read without actually knowing it.

Even though I've been to France several times, my spoken French mostly consists of "merci," "si vous plait," "d'accord" and some food words; I've still skimmed 100 page long papers in French without a lot of trouble.

If nothing else, think of reading a paper in French as a good opportunity to teach Google Translate some mathematical French.
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5 weeks ago by nhaliday
Table of contents—The Stacks project
Part 1: Preliminaries

Chapter 1: Introduction

Chapter 2: Conventions

Chapter 3: Set Theory

Chapter 4: Categories

Chapter 5: Topology

Chapter 6: Sheaves on Spaces

Chapter 7: Sites and Sheaves

Chapter 8: Stacks

Chapter 9: Fields

Chapter 10: Commutative Algebra

Chapter 11: Brauer groups

Chapter 12: Homological Algebra

Chapter 13: Derived Categories

Chapter 14: Simplicial Methods

Chapter 15: More on Algebra

Chapter 16: Smoothing Ring Maps

Chapter 17: Sheaves of Modules

Chapter 18: Modules on Sites

Chapter 19: Injectives

Chapter 20: Cohomology of Sheaves

Chapter 21: Cohomology on Sites

Chapter 22: Differential Graded Algebra

Chapter 23: Divided Power Algebra

Chapter 24: Hypercoverings
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august 2018 by coltongrainger
Richard Koch Home Page
Richard Koch
Mathematics Department
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august 2018 by coltongrainger
Jean Gallier's Home Page for books
A Gentle Introduction to Homology, Cohomology, and
Sheaf Cohomology
Notes on Differential Geometry and Lie Groups
Aspects of Convex Geometry
Polyhedra, Linear Programming,
Shellings, Voronoi Diagrams,
Delaunay Triangulations
Algebra, Topology, Differential Calculus and Optimization for
computer Science and Engineering
Fundamentals of Linear Algebra and Optimization
Algebraic Geometry
Complex Algebraic Geometry
Algebra
Notes on Formal Languages, Automata and Computability
Languages, Automata, Theory of Computation
math.AG  math.GT 
july 2018 by coltongrainger
6.896: Essential Coding Theory
- probabilistic method and Chernoff bound for Shannon coding
- probabilistic method for asymptotically good Hamming codes (Gilbert coding)
- sparsity used for LDPC codes
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february 2017 by nhaliday

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