I am a first year BSc student in pure mathematics. I like to continue my PhD studies in Sweden, directly after BSc or otherwise after having MSc. Unfortunately, not only free education for international MSc students has been stopped several years ago but also the living cost in Sweden is very very high. Only leaves PhD studies as a final choice as they pay for tuition fees and living expenditures.
I have heard that the only way to get a PhD admission (with scholarship) in a some university in Sweden is to do MSc in some Sweden university so that the professors will 'know' you; in other words, contrary to US or Canada, they prefer to know students in their classes than reading about them from the recommendation letters sent from other countries.
A friend of mine, planted this wishful idea in my mind that if I accomplish (much?) more in my BSc time that PhD students do required for their graduation (i.e. good published papers), along with other things [recommendation letters, GPA, etc] so it may make me more appealing candidate than a person whose professor knows him/her personally. [Q.1] Is this true? And if so, [Q.2] how much 'better' than minimum-required-papers-to-be-published-for-a-PhD-to-be-graduated I need to do? Is there any measure for 'better' papers at all and what are they?
PS I am sure a person who solves Riemann H, attaining an academic position let alone PhD is trivial; so obviously sky is the limit. I am wondering about the minimum of "impressive results" in research (capability to be a productive researcher) one needs to do for a guaranteed PhD position which should be achievable during 3-4 years time that I have.