Uploaded January 2021 | Updated September 2026, 2 weeks ago
This advice applies most for people looking to do a PhD in the UK in physics/ mathematics, although some of it is more general. Please watch other people's videos on this topic as well to get a broader perspective!
youtube.com/playlist?list=PLg-OiIIbfPj3vwCUeRWweRcnZMWJNXb27
0:00 Intro
0:43 Do something else first
3:11 Look for the right things in a supervisor
4:18 Choose a university with a lot happening
7:09 ...maybe don't do a PhD in the US
8:36 Final words of discouragement
This advice applies most for people looking to do a PhD in the UK in physics/ mathematics, although some of it is more general. Please watch other people's videos on this topic as well to get a broader perspective!
youtube.com/playlist?list=PLg-OiIIbfPj3vwCUeRWweRcnZMWJNXb27
0:00 Intro
0:43 Do something else first
3:11 Look for the right things in a supervisor
4:18 Choose a university with a lot happening
7:09 ...maybe don't do a PhD in the US
8:36 Final words of discouragement










![Fourier Series
Fourier transform: https://youtu.be/Xxut2PN-V8Q
In this video, I explain what the Fourier series does, and why it is one of the most surprising results in mathematics.
All the plotted graphs in this video were done in Mathematica. If you dont have the program then you can use the free internet version called Wolfram Alpha. To find the nth order Fourier series of f(x) in either of these, use: FourierTrigSeries[f(x),x,n] or FourierSeries[f(x),x,n] for the exponential version.
If you want to know how to do something more specific (for example code up the Cantor function) then let me know, Ill send it to you. Thank me later when youre spending all your free time plotting graphs.
And finally if you want to see an application of this stuff, this was the first ever application:
http://en.wikipedia.org/wiki/Heat_equation#Solving_the_heat_equation_using_Fourier_series Fourier Series](https://i.ytimg.com/vi/kP02nBNtjrU/mqdefault.jpg)