As per JIRA documentation http://www.atlassian.com/software/jira/docs/latest
The following filter will show the issues opned by me (Current User).
repor
This (to my knowledge) cannot be completed using JQL, even with a plugin. If you have DB access, the query is simple:
SELECT pkey, summary FROM jiraissue, jiraaction WHERE jiraissue.id = jiraaction.issueid AND author = '';