A BSoD, or Blue Screen of Death, is a term commonly used to refer to the nice blue screen with generally useless debug information that Windows generates when it crashes.
BSoD is usually caused by faulty drivers or faulty hardware components (like RAM memory). Usual suspect are network drivers and USB drivers (especially is you have either a USB network card or an external USB drive).
It is not likely that a high-level java software (like Vuze) could cause a BSoD by itself, as it doesn't touch the operating system core and has no direct access to the hardware resources. However, programs can cause so much load to the system that already existing faults in hardware or in drivers surface. For example, transferring large files can cause (over)load to the network chip and its drivers, causing some bug there to surface.
- You should check from the BSoD screen which driver has crashed. The "faulting module" is usually displayed there.
- Then seek to update that driver through WindowsUpdate, although WindowsUpdate does not usually contain the quite newest driver.
- Even better, try to find the newest driver directly from device manufacturers site (E.g. for network chips: Intel, Realtek, Broadcom, ...)
- It may also help if you delete the Azureus folder in appdata (enter %appdata% in explorer); this also deletes all custom settings [normal delete so you can restore it later if that didn't solve the problem for you]
(You should also update Java, so that the fixes for known faults in the underlying Java interpreter are applied)
You may also try to decrease load caused by software, by limiting transfer speeds and/or amount of connections. See Network connection dying.
Read the Azureus FAQ