Miscellaneous
My favicon is an image of a dolphin recognizing its own reflection.
Personalia:
Here are some photos.
Meta-mathematics:
I find it useful to think about how I think about math.
To inform my meta-mathematical opinions, I find it useful to read about how mathematicians I admire think about mathematics. Here are some things I like:
Yuri Manin: Mathematics as Methaphor: To convince you to read it, see also the brief review of this collection of essays by Timothy Gowers: Yuri Ivanovich Manin, An Extraordinary Mathematician.
The Two Cultures of Mathematics, Timothy Gowers: Understanding your mathematical biases can help you view your mathematical self more critically and consider whether you have unnecessary hang-ups which are holding you back.
Reinventing Discovery: A great read promoting open science by one of the famed "Mike and Ike" duo. This isn't so much math as it is research in general, but, while its primary goal is to promote open science, it also serves as a great source of detailed examples of productive collaborations.
Paintings of math books. (Click the picture for more.)
Meta-academics:
I find it very useful to frequently reflect on the nature of the questions I am asking. Are they broad enough in scope? Too broad in scope? How can I make my research more relevant, interesting, and useful? How can I ensure that I am working on research that I myself find interesting enough to build a career out of, while also ensuring that my research is marketable to people who a priori don't care about my work? Along these lines of inquiry, one is led to the (aptly named) "science of science" literature.
Along more pragmatic advice lines, the early career section of the Notices of the AMS contains great advice for young mathematicians, at least, it feels that way when I read it! Here's some other pieces of practical insight that I like:
Get more stupider: Wherein stupidity is encouraged as a means of producing knowledge.
How to find problems to work on: Wherein one finds advice for how to be stupid smartly.
You and Your Research by Richard Hamming. (I don't subscribe to all the ideas promoted here, but it is a thought-provoking piece of thought nonetheless.)
See stupid, hear stupid, speak stupid.
On the more hard-sociology side of things, the following articles are kind of interesting. In particular, I find that, by understanding the sociology of the world in which I live (the academic one), I can better understand my place in it and affect change around myself to be more conducive to a productive research life. Also, the analysis of sociological data inspires one to reflect on their own academic habits, forcing one to ask data-driven questions, like whether they have particular hang ups that are dampening the conversion of their potential research success to actual research success, etc.
Productivity, prominence, and the effects of academic environment: Wherein one can get insight into how they might try to change the environment around themselves to be more conducive to a productive academic life.
Persistence and uncertainty in the academic career: Wherein one can get insight into what determines productivity in the academic career thereby getting inspiration for how to orient their work life towards achieving success.