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Recommended articles
Here I collect research and survey articles that I read/want to read that are exceptionally interesting.

On Proof and Progress in Mathematics
Interesting and wellwritten thought about different aspects of how it is to be a mathematican, what is a proof, how mathematicians think, et cetera. Really worth a read.

"The structure of algebraic threefolds: an introduction to Mori's program", János Kollár
Good introductory text about the classification of threefolds. Its focus is on ideas and not on proofs. I skipped last part.
 "A mad day's work: From Grothendieck to Connes and Kontsevich. The evolution of concepts of space and symmetry", Pierre Cartier
A short biographical sketch of Grothendieck together with connections between functional analysis, algebraic geometry and theoretical physics. Very interesting.
 "Perturbations, deformations and variations (and "nearmisses") in geometry, physics, and number theory", B. Mazur
Very fun read about how the concept of "deformation" and "stability" shows up in different areas of mathematics.
 "Tropical Mathematics", D. Spayer, B. Sturmfels
A short and very readable introduction to tropical mathematics and applications, with lots of references.
 "The octonions", J. Baez
A survey article on the octonions with lots of connections to other parts of mathematics, including physics. Very interesting read.
 Stacks for everybody, Barbara Fantechi
Stacks (or "stabler" in Norwegian) are extremely abstract, and this article does an excellent job of explaining them without being too technical.

Today's menu: geometry and resolution of singular algebraic surfaces
An illustrated guide to resolution of algebraic surfaces with lots of explanations and references. Fantastic reading.
