You use neither in front of the first of two or more words or expressions when you are linking two or more things which are not true or do not happen. The other thing is introduced by 'nor'.

You use neither to refer to each of two things or people, when you are making a negative statement that includes both of them.

If you say that one person or thing does not do something and neither does another, what you say is true of all the people or things that you are mentioning.

You use neither after a negative statement to emphasize that you are introducing another negative statement.

If you say that something is neither here nor there, you mean that it does not matter because it is not a relevant point.