I had my GMail account hijacked once, not a nice experience.
What I did is turn on 2-factor authentication (same thing as everyone else advocates).
I did manage to get a log of IPs of who was logging into my computer (see at the bottom right of Gmail, Last Account Activity - Details), went to the computer crimes division of the local police, they were very polite but basically explained they only have resources for really big things (child porn, serious financial problems) and since I had nothing stolen I had no case.
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I had my GMail account hijacked once, not a nice experience.
What I did is turn on 2-factor authentication (same thing as everyone else advocates).
I did manage to get a log of IPs of who was logging into my computer (see at the bottom right of Gmail, Last Account Activity - Details), went to the computer crimes division of the local police, they were very polite but basically explained they only have resources for really big things (child porn, serious financial problems) and since I had nothing stolen I had no case.