As I am writing this, there's still a chance that I may hear back from GLG but I highly doubt it. The advice I share is aimed particularly at those who think GLG is slightly outside their area of expertise or not exactly in line with your previous work experience.
I applied through their website as a cousin of mine had used GLG previously through his business and highly recommended them. I was a little anxious because I felt that a position in their Legal and Economic Regulatory Affairs department was a little outside my area of knowledge. I had previous legal experience at previous jobs but it was mostly coordinated projects with my company's legal department. However, I felt that at a company like GLG, as long as you demonstrate decent knowledge, the company would train you with the rest and it seemed like a job where you truly learn-by-doing.
Within a few days, I got an email that they were interested in a phone screening and we arranged it for the next couple days. This gave me a lot of time to really research the company, their business model, their clients, etc. However, i also knew it was just going to be a screening so I may not actually get the opportunity to demonstrate my research.
I couldn't have been more right. The guy on the other line was heavily focused on by education (of which I have a Master's) was in another field, and rather than ask me why I was interested in a change of experience, he just kept asking me questions about why I did my Master's in this particular subject, etc, etc. He never enabled me to say 'okay, i worked here, but this, this and this, would make me a good fit at GLG. It felt a little like an ambush to the point where I was constantly asking myself 'why did this guy even call me?'. In any case, the call went okay, but I just never got the chance to ask relevant questions regarding GLG nor show why I wanted to work there. Instead, I just had to explain over and over, my interest in politics, my Master's, one particular organization that I worked in. I wanted to tell the man 'Look, I know my CV is working against me here, but I still have 3-4 years of good work experience for a mix of public, private, international and voluntary organizations, and every one of those places, I came in, learnt the ropes, and left with a track record of success, of which my references provided will second'. But that would have come off sounding a little brash and in the end, I just became uninterested in a guy who sounded uninterested in me as a GLG prospect.
He eventually asked that I reach out to him on LinkedIn and that he would forward my information from the New York to the DC office (where I live). He then told me that I should hear something in the next 2-3 days, to which I have not yet. He did accept my connection request on LinkedIn, but I am sure that is as far as its going to go.