[8] Together with David Kaplan and Surjeet Rajendran, he proposed a solution to the hierarchy problem with dynamic relaxation in the early universe instead of, as is usually the case, with new physics (such as supersymmetry, extra dimensions) on the electroweak scale of the Standard Model (or the Anthropic Principle [9]).
The model was inspired by a similar mechanism that Larry Abbott used in 1984 to explain why the cosmological constant is so small.
[14] The axion is already a candidate for dark matter and was originally introduced as a solution to the strong CP problem in the Standard Model.
The model of Graham and colleagues also attracted attention because no supersymmetric particles, which until then were considered the most promising explanation of the hierarchy problem, had been discovered at the LHC.
In 2014, he received an Early Career Award from the Department of Energy and was a Terman Fellow at Stanford.