Joshua was elected as Mayor of Holyoke on November 2, 2021, after three and a half years as Town Administrator of Blandford, Massachusetts. Prior to that, Joshua worked at the Pioneer Valley Planning Commission and the Holyoke Housing Authority in various capacities. He has also served as a member of the Holyoke School Committee, Holyoke Fire Commission, Holyoke Community College Foundation Board, the Public Health Institute of Western Massachusetts Board, the MIIA Health Group Trust, and the Board of Directors of Nueva Esperanza, Inc. in Holyoke. He is also an active member of the Massachusetts Mayor's Association having served as the district 1 representative and now as 1st Vice Chairman. 

Joshua is a lifelong resident of Holyoke, having gone through the public school system before attending Westfield State University, where he earned both his bachelor's and master's degree.