I am a third year Mathematics and Statistics student at Lancaster University. I thought I would explain what helped me make my choice and see if it could help you at all. Personally, I preferred a campus university because it felt more like a community and like I would make friends better there. Also, I found my course really interesting but at the same time it seemed realistic and not completely overwhelming.
For Warwick, have you tried asking your brother how intense the general place is (not really dependent on his course)? How stressed everyone is in the library during exam session can be a good example of the pressure there. In terms of nightlife, Lancaster is not the biggest city and while it does have a few very good clubs it won't be able to compete with cities like London. However, I found that it can still be just as good with the right people because house parties always exist and often having good friends can make any club quite fun. Plus Warwick isn't that far from Birmingham so there is always the option to go for the occasional night out there if you feel up to the travel.
For LSE, would you be living separately or with your parents? Having parents nearby can help a lot with homesickness and I always look forwards to mine visiting because they buy me food and who doesn't love free stuff. In terms of a 'traditional' maths degree I think it is important to consider what you actually want to do in the future (if you don't know that's okay, I didn't decide until end of 2nd year). For example, a lot of accounting graduate schemes care take in a variety of degrees. Next, the cost of living is high so you may need part time work and is this something you think you could manage or would it potentially cause your degree to suffer? Personally, I work around 10 hours a week and generally am fine but I do work a lot for the university who are very flexible. Finally, there will be lots of people who also feel lonely or worried about making friends regardless where you go so don't worry too much about that because there are plenty of ways to meet people.
Please feel free to ask me any questions you have.
- Amy (Lancaster Student Ambassador)