Information bases

• Lattice cryptography
• L-functions and modular forms
• Integer sequences
• Group properties
• Complexity zoo
• Error-correction zoo
• Codetables

Records of best-known

• Game of Sloanes: Competition for complex spherical designs, also therefore a list of best-known sphereical designs.
• Catalogue of Lattices: Catalogue of lattice packings.
• Sphere packing densities: Professor Henry Cohn’s catalogue of sphere packings

Blogs

• Scott Aaronson
• Frank Calegari
• Terrence Tao
• Peter Woit