London Mathemtical Society | Funding for PhDs occasionally advertised here, as well as seminars and maths-themed events. |

Institute of Mathematics and its Applications | Useful maths-related resources for any stage of your studies. |

The Clay Mathematics Institute | If you don't know about the Clay Institute and what they do... go and and out now! |

UCL Maths | The main UCL Mathematics Website; you should be familiar with it. Look here for module choices. |

UCL Maths Colloquium | Weekly talks from UCL Maths students for UCL Maths students. |

Maths Reference | Useful Maths search engine. You will know what I mean if you have even search for a "Ring" or "Field" in google. |

The American Mathematical Society | If you are genuinely interested in a Maths career/further studies then this website is very useful. It's American but there is a lot of general information as well. |

Maths Jobs Wiki | Currently advertised jobs in academia (Maths) all around the world. |

Jobs dot ac dot uk | General website for jobs in academia, research and science. |

EPSRC Vacation Bursaries | Funding for Undergraduate Summer Research Projects. |

LMS/Nuffield Foundation Bursaries | More potential funding. |

CoMPLEX at UCL | Interdisciplinary research opportunity at UCL. Maths into the Biosciences. |

Summer Research at the University of Kent | Open to all Maths students in their penultimate year. |

Summer Research at Oxford | Last year's page. Similar to above. |

UROP at Imperial | Imperial allow outside students to do paid summer research there if they can find a supervisor. |

Interesting Maths Blogs | |
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Stack-exchange list of Blogs | A good place to start if you are interested in finding good maths blogs. |

Terrence Tao's Blog | Even if don't understand anything, it's useful for finding out about the real maths word, as well as finding many other blogs. |

Computational Help | |

Wolfram Alpha | Extremely powerful computation engine. See also Mathematica available free to UCL students. |

PARI/GP | Computations in number theory and others. |

Mathematics Forums | |

Math Stack Exchange | Lots of threads about all kinds of maths question. Do not abuse it for homework purposes. Lots of lecturers actually also follow it. |

MathOverflow | Similar to the above. |

Online Lectures and Courses | |

Coursera | Online courses in maths and other subjects; many of them give certificates for accomplishment. |

Edx | Similar to the above |

MIT OpenCourseWare | MIT put most of their courses online. Many of them have video lectures. For example, you can find Algebra and Calculus lectures. |

Other Online Courses | Comprehensive list of MOOCs (Massive open online course) if case you ever need more. |

LaTeX Resources | |
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TeXmaker | Probably the best TeX editor you can find. |

Write LaTeX | Online Real Time TeX Editor. |

CTAN | Packages and all sorts of useful thing. |

Texample | Examples of things created in TeX and free source code to use. |

TeX Stack Exchange | Question/Answer help forum for TeX. |

LaTeX Wiki | One of the best references online. |

Resume Templates | Good for CVs; you can just take a template for free and edit it to get a nice-looking CV. |

LaTeX Templates | Some more nice templates, including for CVs. |

GmailTeX | Plug-in for using TeX with gmail |

Random Things | |

PhD Comics | Silly Comic. |

xkcd | Slightly Silly Comic. |

SMBC | Very Silly Comic. |