The possibility of a Mott insulating state of correlated electrons that does not break any symmetries has been studied for a long time. Such a state, dubbed a quantum spin liquid, has many novel properties. In this talk I first review the physics of a class of such states. Then I describe recent work on the properties of a continuous quantum phase transition between a Fermi liquid metal and one such spin liquid Mott insulator. A metal near such a Mott transition has many interesting properties that I will discuss. Connections to experiments on a few different systems will be emphasized