According to police in Scottsdale, where Torrence had been training, the 31-year-old's body was discovered on Monday morning by staff at an apartment complex.
'Today we lost an unbelievable athlete and an even greater friend, ' Kyle Merber, another elite runner and a friend of Torrence tweeted.
Torrence was a two-time champion of the Hoka One One Long Island Mile in NY, and was aiming for his third title on September 6. In 2007, Torrence set the current Cal record for the mile, and in 2014, he set the current American indoor track record for the 1000 meter race.
A hugely popular and versatile runner, Torrence also won silver medals in a United States of America vest at the 2014 World Relay Championships and 2015 Pan American Games.
Torrence came in 15th in the 5,000 meters competing for his mother's country of Peru in the Rio Summer Olympics. "He was going for #3 this year". American silver runner Leo Manzano noted that Torrence had been his team-mate, saying that " My heart goes out to him and his family".
"No one was more dedicated to their running", wrote Nick Willis, who won bronze in the 1500m at the Rio Games.
In the world of elite running, Torrence was famous for speaking his mind - whether it was to show his emotions or to denounce performance-enhancing drugs. Aden is now under arrest in Spain facing charges related to doping.
"My coach would tell me during particularly hard workouts, 'This last repeat isn't about getting into shape; this is about becoming a man". "He got 100% out of himself every day".