Carthy was first elected as a councillor in 2014. He was re-elected to Wexford County Council in the May 2019 local elections. He previously contested the 2016 general election. Carthy was elected as Mayor of Wexford in 2015. He formerly worked as an advanced paramedic. He currently works as an advanced paramedic supervisor. Carthy is the treasurer of his local GAA club.

I have a proven track record from sitting on the county council for the past six years. I deliver for the people, and I received a big mandate in the last two local elections and I now think it is time for me to take the next step to national level.

Health. I want to see the delivery on 24-hour cardiac care, increase the capacity of the hospitals and improve child and adolescent mental health services.

I want to return a lot of decision-making powers to local authorities. I want to give more power to the democratically elected people.