The subject of the certificate is the entity its public key is associated with (i.e. the "owner" of the certificate).
As RFC 5280 says:
The subject field identifies the entity associated with the public key stored in the subject public key field. The subject name MAY be carried in the subject field and/or the subjectAltName extension.
X.509 certificates have a Subject (Distinguished Name) field and can also have multiple names in the Subject Alternative Name extension.
The Subject DN is made of multiple relative distinguished names (RDNs) (themselves made of attribute assertion values) such as "CN=yourname" or "O=yourorganization".
In the context of the article you're linking to, the subject would be the user/owner of the cert.