Seraphimpunk
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Pathfinder Rulebook Subscriber
varisian tattoo provides a feat bonus to caster level, gifted adept provides a trait bonus, ( well they're unstatted bonuses but whatever ) , so yeah, they stack. for summon monster 1 you'd have +2 caster level, for other conjuration spells you'd be at +1 caster level.
Seraphimpunk
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Pathfinder Rulebook Subscriber
oh yeah, summoner's charm. that just adds a flat bonus to the duration of the spell. does nothing to effect the caster level of the spell. so yeah, it would stack.
1st level you'd have a 4 round summon monster 1.
2nd level you'd have a 5 round summon monster 1.
3rd level you'd have a 6 round SM 1, or a 5 round SM 2.
4th level you'd have an 8 round SM 1, or a 7 round SM 2.
etc.