Many people think that the extinction event that took out wooly mammoths happened very quickly because many of them have been found flash frozen in Siberia with recently eaten food in their stomachs.

For a long time it was believed that the woolly mammoths died out 10,000 years ago.  However, scientists in this century believe the mammoth continued to survive on a remote island off  the Siberian Coast in the  Arctic Ocean until  4000 years ago.  It's believed that as the sea levels began to rise after the end of  the ice age, a small herd of mammoths were trapped on Wrangle Island and they didn't die out until 2000 BCE. 

That, however, may change yet again.  A Dallas based company, Colossal, is actively attempting to 'reincarnate' the giant beast.  They are trying to sequence the mammoth DNA using samples recovered recovered from the Arctic Permafrost.  The plan is to  recreate a mammoth embryo and implant it into an African elephant.  The company is aiming on bringing the woolly mammoth back to life by 2027.