If you generate numerous identities $($public keys$)$ for yourself and interact online using those different identities:

a$.$ It is essential to have a good source of randomness. Otherwise adversaries might be able to deduce your secret key and take control of your identities

b$.$ Adversaries may be able to link your identities because public keys generated on the same computer tend to look similar

c$.$ Adversaries may be able to de$-$anonymize you by analyzing your activity patterns