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Answers
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Interesting mathematical documentaries
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Demonstrating that rigour is important
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Not especially famous, long-open problems which anyone can understand (3)
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practical applications of eigenvalues and eigenvectors
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Noteworthy achievements in and around 2010?
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New grand projects in contemporary math
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Fiction books about mathematicians?
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How does an academic mathematician educate him/herself about job opportunities outside academia?
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Trichotomies in mathematics
3
Doing geometry using Feynman Path Integral?
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Occurrences of (co)homology in other disciplines and/or nature
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Practical applications of algebraic number theory?
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Are there any good websites for hosting discussions of mathematical papers?
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Questions about analogy between Spec Z and 3-manifolds
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How often do people read the work that they cite?
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What can an algebraic geometer do outside academia?
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What is the significance of non-commutative geometry in mathematics?
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Why don’t more mathematicians improve Wikipedia articles?
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Lie group examples
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Mathematics and cancer research ?
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Mathematician trying to learn string theory
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Publication and Career as a fresh Ph.D
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Intuition for Haar measure of random matrix
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Does your dissertation matter for industry research jobs?
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A good example of a curve for geometric Langlands (2)
4
Not especially famous, long-open problems which higher mathematics beginners can understand
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Classical Limit of Quantum Mechanics
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Bijection between irreducible representations and conjugacy classes of finite groups
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Why are Jucys-Murphy elements' eigenvalues whole numbers? (2)
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What is the possible usefulness of étale topology and cohomology apart from the resolution of the Weil conjecture ?
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