Required Reading
- Elementary Applied Topology, by Robert Ghrist
- An investigation of the false discovery rate and the misinterpretation of p-values, by David Colquhoun
- Academic Research in the 21st Century: Maintaining Scientific Integrity in a Climate of Perverse Incentives and Hypercompetition, by Marc A. Edwards and Siddhartha Roy
- Statistical proof? The problem of irreproducibility, by Susan Holmes
- Julia -- high performance technical computing, and my Matlab replacement of choice
- Sage -- open source mathematics software package
- MIT Open Courseware in Mathematics
- WeBWorK -- open source online homework package
- Wolfram Alpha -- browser based "knowledge engine"
- Math Overflow -- a research forum for mathematicians
- TeX the World -- browser plugin for embedding TeX in documents
- Mathematics on the ArXiv
- Roots of polynomials with integer coefficients
- Jeff Weeks' Topology and Geometry Software -- "Curved Spaces" is must-see.
- KnotPlot
- Mobius Transformations Revealed
- Dynamical Systems and Technology Project
- "The Optiverse" and Other Sphere Eversions
- Thomas Banchoff's Home Page -- check out online projects and artwork
- XKCD
- Jonathan Coulton
- Klein Four Group -- page seems abandoned
- Andrew Lipson's Mathematical LEGO Sculptures
- ACME Klein Bottles
- This Week's Finds in Mathematical Physics
- The n-Category Cafe
- The Secret Blogging Seminar
- Physical Thought
- The American Mathematical Society
- The Mathematical Association of America
- Pacific Northwest Section of the MAA
- Project NExT
- The Association for Women in Mathematics
- The Young Mathematicians' Network
- The Society for Industrial and Applied Mathematics