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This tag is for questions requesting advice (e.g. on a suitable publishing venue, presentation strategy, career move, ethical dilemma). It should be used in conjunction with a more specific tag, such as [journals], [teaching], [career], or [ethics].
21
votes
How to/Can you get a PhD position when you need more experience first?
To supplement Kevin Lin's point about the Berkeley pre-PhD program, Smith College (in the U.S.) runs an analogous post-baccalaureate program that has been successful in placing students in various gra …
10
votes
Where to find (personal) motivation
Alain de Botton,
The Pleasures and Sorrows of Work (Random House LLC, 2010):
"When does a job feel meaningful? Whenever it allows us to generate delight or reduce suffering in others. Though we ar …
5
votes
Research Experience for Undergraduates: Summer Programs
Here is a master list of NSF REU awards in the Mathematical Sciences: REU Sites: Mathematical Sciences. Sixty-six awards are listed.
Here is the analogous list in Computer and Information Sciences a …
4
votes
Tricks for getting a creative idea
I am not addressing your request for "tricks." One can hardly do better than Poincaré's
description of creativity in mathematics:
Poincaré, Henri, translated by Francis Maitland. Science and metho …
3
votes
Accepted
What are problems at the center of geometric topology of 2 dimensions?
The Table of Contents of this book might help focus your question,
e.g., one chapter is on "The Schönflies theorem."
Moise, Edwin E. Geometric topology in dimensions 2 and 3. Vol. 47. Springer Sci …
3
votes
What are examples of books which teach the practice of mathematics?
This is not so much "how to do mathematics" (to quote the OP),
but more how it feels to do mathematics.
A New Yorker review said this book "is less about math than about mathematicians—how they live, …
0
votes
Are there any undergraduate-friendly research areas in algebra?
One option is to focus on an elementary but unsolved problem, and let
exploring that problem lead you to learn relevant techniques.
(1) For example, tight bounds on the number of "edge guards" to cove …