He has concertized internationally in the United States, Canada, Mexico, Russia, Ukraine, China, South Korea, Costa Rica, Belgium, Germany, Austria, Holland, Spain, Italy, Sweden, performing at major concert halls such as those of Moscow Tchaikovsky Conservatory, St. Petersburg Conservatory, Seoul Arts Center, Dresden Semper Opera House, Palau de la Musica Catalana in Barcelona, Teatro Nacional in San Jose, Mozarteum Hall in Salzburg, Concert Hall of the Artists in Rome, Flagey Studio Four in Brussels, Zipper Hall and Royce Hall in Los Angeles, Miller Theater in Houston to name a few.
Khomyakov is a top prizewinner of numerous prestigious international piano competitions, including St. Petersburg Open (Russia), Anton Rubinstein (Germany), Emil Gilels (Ukraine), ISAM (Germany), Maria Canals (Spain), Jose Iturbi (USA), Hilton Head (USA), Ima Hogg (USA), and others. His performances are broadcast on radio and television in Germany, Belgium, Spain. Russia, South Korea, China, Canada, and the United States.