Born in Kirghizistan, Alena Baeva initiated her musical studies in Kazakhstan from the age of five and then went on to the Tchaikovsky Conservatory in Moscow to study with Eduard Grach. After winning first prize at the Wieniawski Competition in Poznan (2001), she also won the Moscow Paganini Competition (2004) and the Sendai competition (2007).

Her recent recitals in Théâtre de la Ville (Paris), at the Ravinia Festival in Chicago (USA), and in Hamarikyu Asahi Hall (Tokyo) met with great success, as well as her symphonic debuts in the UK with the Beethoven Concerto (English Classical Players/J.Brett) and in Denmark with the Szymanowski Concerto (Danish Royal Opera/S.Skrowaszewski). Moreover, she has performed with the Academy of St. Martin in the Fields, Tokyo Symphony, Mariinsky Theatre Orchestra, Sinfonia Varsovia, Deutsche Radio Philharmonie, Russian National Orchestra, Tchaikovsky Symphony Orchestra, Moscow Soloists Ensemble, under conductors such as Sir Neville Marriner, P. Berglund, S. Skrowaczewski, J. Maksimyuk, A. Lazarev and V. Fedosseyev.

Alena Baeva has performed in such halls as the Herkules-halle (Munich), Victoria Hall (Geneva), Suntory Hall (Tokyo), Verdi Hall (Milan), Carnegie Hall (New York), Centre for Fine Arts (Brussels), the Grand Hall of the Moscow Conservatory, and the Auditorium du Louvre, UNESCO, Salle Gaveau, Théâtre de Champs-Elysées (Paris).

She has over 35 concertos in her repertoire, and also loves playing chamber music. Her chamber music partners are Yuri Bashmet and Shlomo Mintz, Itamar Golan and Alexander Melnikov, Julian Rachlin, Dmitry Sitkovetsky, and Alexander Kniazev. For several years she has been working with Mstislav Rostropovich, Schlomo Mintz and Ida Haendel. Since 2007 she participates each year in the Seiji Ozawa Academy in Switzerland and she has been invited to other festivals in Vienna, Istanbul, Shanghai, Prague, etc.

Alena Baeva has recorded for Pentatone Classics (Bruch/Schostakovich), DUX (Szymanowski Violin concertos) and SIMC (Poulenc/Debussy/Prokofiev Sonatas).

Currently she plays an Antonio Stradivari violin, owned by the State Collection of Russia.