Alena Baeva was born in 1985 in a musical family. At the age of five she began studying the violin in Alma Ata under Olga Danilova. From 1995 she was a student with Professor Eduard Grach, at the Central School of Music of the Moscow State Tchaikovsky Conservatoire and from 2002-2007 at the Moscow Conservatoire itself. Apart from formal studies, her two most important influencers and supporters were Mstislav Rostropovich and Seiji Ozawa. She has participated to various master-classes, including those under Ida Haendel and Maxim Vengerov.
Alena Baeva has enjoyed great success at competitions. Starting in 1994, she has won first prizes at competitions in Novosibirsk, Warsaw, Germany and at the Henryk Wieniawski competition in Poznań. She won the Grand Prix at the Moscow International Niccolò Paganini Competition (2004), giving her the right to perform on the Stradivarius violin that belonged to Henryk Wieniawski, as well as the Gold Medal and audience prize at the International Violin Competition in Sendai (2007).
Her rapidly expanding repertoire includes over forty violin concerti and numerous sonatas and other works from different eras. She performs on a Stradivarius violin provided by the Russian State Collection of Unique Musical Instruments.