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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

24 votes

What are some examples of colorful language in serious mathematics papers?

Spivak, A Comprehensive Introduction to Differential Geometry, Volume 1, p.94, Now that we have a well-defined bundle map $TM \to T\;'M$ (the union of all $\beta_x^{-1} \circ \alpha_x$), it is …
16 votes

Which mathematicians have influenced you the most?

Richard Courant. Several years before I started studying mathematics in earnest, I spent a summer working through his calculus texts. Only recently, on re-reading them, have I come to realize how much …
5 votes

What do named "tricks" share?

While tricks have names because they wind up being associated with with some particular mathematician, tricks are tricks because something important goes on "behind the curtain." For instance, to pro …
3 votes

What is your favorite proof of Tychonoff's Theorem?

The non-standard analysis proof is an interesting "application" of the ultrafilter proof: a topological space $A$ is compact if and only if every point in the associated "non-standard topological spac …