2007–2014: Early career Hamilton played for
skip Jeremy Roe at the 2007 and
2008 United States Men's National Championships, placing seventh and ninth, respectively. In 2008 he also joined
Chris Plys' junior team, who had won the
National Junior Championship the two previous years. Hamilton helped make it four Junior National Titles in a row for Plys, winning the 2008 and 2009 championships. As national champions, Hamilton and Team Plys represented the United States at the
World Junior Championships. At the
2008 World Juniors in
Östersund,
Sweden they took home gold medals after beating Sweden's
Oskar Eriksson 9–5 in the final. While in Sweden, Hamilton won the championship's 2008 Sportsmanship Award, an award only given to one male junior curler and one female junior curler. They maintained this line-up for four seasons and found great success. At their first National Championships together in , they defeated Hamilton's former skip Brown in the final to win the gold medal. Representing the United States at the in
Halifax, Nova Scotia, Team Shuster missed out on the playoffs when they lost a tiebreaker to Finland's
Aku Kauste. As a result of its success, Team Shuster was added to the High Performance Program for 2016. In
Basel, Switzerland they defeated Japan's
Yusuke Morozumi in the bronze medal match, earning the first World Men's medal for the United States since 2007. For the
2016–17 season they added
Joe Polo, a former teammate of Shuster and George, as alternate and won the . At the , their third Worlds in a row, they lost in the bronze medal game against Team Switzerland, skipped by
Peter de Cruz. Hamilton attended a second world curling championship this season, representing the United States at the
2017 World Mixed Doubles Championship after he and his sister and doubles partner
Becca Hamilton won the
US Championship. At the Worlds in
Lethbridge, Alberta, they won their group during the
round-robin phase and were the second seed going into the playoffs but ultimately ended in tenth place. Early in his fourth season on Team Shuster, Hamilton won the
2017 United States Olympic Curling Trials This was the first Olympic gold medal in curling for the United States. In the mixed doubles competition, the Hamilton siblings did not fare as well, finishing in sixth place with a 2–5 record.
2018–present: Post-Olympics After the Olympics, George took a break from competitive curling, and Team Shuster replaced him at third with
Chris Plys. The slightly revamped team continued winning, taking gold at the
2019 United States Men's Championship. At the
2019 World Men's Championship, they finished in fifth place, having lost to Japan in the first round of playoffs. They defended their United States title at the
2020 United States Men's Championship, defeating
Rich Ruohonen in the final to finish the tournament undefeated. The national title would have earned Team Shuster a spot at the final
Grand Slam of the season, the
Champions Cup, as well as the chance to represent the United States at the
2020 World Men's Curling Championship, but both events were cancelled due to the
COVID-19 pandemic. Team Shuster represented the United States at the
2021 World Men's Curling Championship, which was played in a fan-less bubble in
Calgary due to the ongoing COVID-19 pandemic. There, the team led the U.S. to a 10–3 round robin record, in third place. They played Switzerland in the playoffs, in a game which was delayed a day due to some curlers testing positive for the virus. In the game, Switzerland, skipped by
Peter de Cruz, beat the Americans to advance to the semifinals. ==Personal life==