I stayed at Lakhsmi's flat for 3 weeks in August during my attendance at summer school at LSE.
The flat is really homely and peaceful, and the flat is even better than the prictures showed. The flat is located just next to a super market (Sainsbury), but the area is really quiet (especially at night).
Whitechapel underground/overground station is just a few minutes walk from the flat, so it is really easy to travel around and see London. Be aware that the underground tends to close around midnight, so you'll have to take a cab or find alternative means of transportation if you stay out late.
Lakshmi was really good at keeping in touch and a really good host. She made sure that I had everything that I needed - and if I didn't, she would either make sure that I got it or she could recommend where to get it, e.g. a good dry cleaner in the area.
I'll recommend Lakshmi's flat to everyone that visit London and wants to stay close to the city.