I can't comment for the ThinkPad 13, but I've been really disappointed with the quality of Lenovo's recent ThinkPad offerings. I used to have a 1st Gen X1 Carbon Touch and I swapped it for a MacBook Air after a year. Terrible battery life, shockingly bad display (other than the low resolution and poor colours, they placed some kind of protective film over the top which made everything a bit blurry). Screen wobbled, fan spun up way more than necessary (I don't think I've ever noticed the fan on my MacBook spinning up).

Before that I had an IBM ThinkPad X40 which I absolutely loved - it was a solid little machine. A friend of mine just had a fan go in his X230, and another friend had a T430 with a defective touchpad. Of course every laptop will have some failures, but it seems that the build quality on the newer models really isn't up to the same level it used to be.

I would heartily recommend looking into purchasing a second-hand ThinkPad. If you're taking it in to uni regularly then probably the smaller X210 or X220 would be a good fit.