Archimedes - Champs: 27, 33, 334, 175
1 beats 8
5 beats 4
7 beats 2
3 beats 6
5 beats 1
3 beats 7
3 beats 5
Curie - Champs: 624, 987, 3476, 3015
8 beats 1
5 beats 4
2 beats 7
6 beats 3
8 beats 5
2 beats 6
8 beats 2
Galileo - Champs: 67, 973, 2481, 2363
1 beats 8
5 beats 4
2 beats 7
3 beats 6
5 beats 1
2 beats 3
5 beats 2
Newton - Champs: 971, 341, 1983, 3147
1 beats 8
4 beats 5
2 beats 7
6 beats 3
1 beats 4
6 beats 2
6 beats 1
Einstein:
Curie beats Archimedes
Galileo beats Newton
Curie beats Galileo
World Champs: 624, 987, 3476, 3015
A lot of this will probably end up being wrong, especially since I made a few risky picks. As others have said, I think whoever wins Curie Quarterfinal 1 will be at least finalists on Einstein if not champions.
Definitely some great alliances at champs, and Einstein will be amazing.