Unfortunately you are destined to solo for a lot of time, since groups are very reluctant to take wizzies. As a new player you probably think that wizard is a great DPS class. Well, it's not. What you are good at is burst DPS, not so much needed for a decent group. Every other caster is better at continuous DPS... thats why you won't get many invites.
That said, later on you can solo pretty well while quadding or doing AE groups. And i heard that wizzies are still needed for raids.
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