I am a mole, and I live in a hole. What does a mole do under snow?
The mole digs and lives in tunnels in the soil; its day consists of digging new and clearing existing tunnels. The spoil from these excavations is pushed to the surface via another hole dug by the mole. It is this process that creates the stereotypical mole hill.
It is not the case with every mole, but I have seen tunnels dug partly in soil, and partly in snow. When the snow melts, we are sometimes able to see a little of what the mole usually does out of sight, underground. Below are images that show the result of this unusual mole behavior.