Re/code first reported the move.
Hazelbaker was Google's top PR and government relations exec and also led European Union policy based out of London for the search giant. She is a former communications hand for Sen. John McCain's presidential run and advised former New York Mayor Michael Bloomberg's re-election.
Uber in May brought in another Google alum, Rachel Whetstone, in its top communications and policy role. Hazelbaker will report to Whetstone.
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