I am guessing most of you did not have a look into your Windows Event Viewer, right?
1, go there immediately after your machine revives from the crash
2, go to System Events and check the time around crash time
3, there may be a red entry saying something like "The computer has rebooted from a bugcheck. The bugcheck was...."
If there's not, this may be a different problem.
4, the entry tells you about the location of a minidump file - remember that.
5, download WinDbg if you don't have it already, then run it as administrator
6, go to File -> Open Crash Dump - open the minidump file
7, let WinDbg do its thing - at the end there should be a clickable link called "run !analyze -v" - CLICK IT!
8, see if the resulting block of text contains strings like eaanticheat, eaanticheat.sys, AV_eaanticheat!unknown_function
9, if so, paste the whole block here so EA team can have a good look what their awesome superior never-at-fault anticheat does to people