Run all 5 programs mentioned in http://tips.oncomputers.info/archives2003/0311/2003-nov-16.htm.
Use google to find the current download address for cwshredder.
If all 5 programs say you're clean and the problem still isn't solved, post again mentioning your OS. And give the full error messages without typos. And tell more on the version of IE (5.5SP2, 6.0) and when you exactly get the kernel32 errors.
Kees
When surfing the internet, a message window comes up randomly "Explorer has caused and error in user.exe" try restarting. I have to shut down as the pc wont let me do anythinkg else. Also, have had error messages stating "Kernel32.dll" error.
Help! How can I fix?

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic