Noted by critics as one of the leading young talents of the Spanish national scene, the pianist Alejandro Algarra studied in his hometown, Granada. He concluded his studies with the piano professor Antonio Sánchez Lucena. He expanded his training with great piano maestri like Josep Colom, Albert Attenelle, David Kuyken, Sergei Yerokhin, William Fong, Ramon Coll or Frank Wibaut, among others.Josep Colom, Albert Attenelle, David Kuyken, Sergei Yerokhin, William Fong, Ramon Coll, Frank Wibaut, Christopher Elton, Joaquín Achúcarro, Domenico Codispoti, Bruno Canino, Dimitri Alexeev and Pascal Rogé, among others. He obtained the titles of University Expert in Interpretation and Master in Instrumental Interpretation Piano specialty and Master in Musical Creation and Performance from the International University of Andalusia and the Rey Juan Carlos University, respectively.

His increasing concert activity has led him to perform in a large number of concert halls across Spain and Europe both alone and accompanied by several orchestras, and always with great critical success. He has been invited to relevant piano festivals in Europe, Asia and America, and his attendance is customary in music series such as the "Concerts de la Pedrera" in Barcelona, the programme of the Madrid National Music Auditorium, the "Festival de La Maestranza" in Seville, the "Ciclo Grandes Intérpretes" in Madrid, the "Festival Noches en los Jardines de Falla" in Granada, the series "Piano con Sabor" of the Manuel de Falla Auditorium in Granada, the "Festival Rafael Orozco" in Cordoba, etc. He has also been asked to give recitals as a soloist with orchestra in the context of both national and international piano competitions and classes.

He has been given awards in national and international competitions, among which we can mention the "Ciudad de Albacete" Piano Competition, the "Ria de Vigo" International Piano Competition, the "Amparo Fandos" Prize in Torrent, the "Frechilla-Zuloaga" International Piano Competition, the Barcelona Piano Academy (BPA), or the Ibiza International Piano Competition, among others. He has also been regularly invited to be a part of the jury of a large number of national and international piano competitions.

He has performed on recordings for RNE and TVE, as well as for labels such as Enclave de Autores and IBS Classical. With the latter, his double CD "Chopin-Rachmaninov, Complete Preludes" was chosen as a revelation record by the international radio station Radio Classic FM.

He combines his career as a performer with teaching, giving piano improvement masterclasses all over Spain, as well as being chair Professor of Piano at the Royal Conservatory of Music "Victoria Eugenia" in Granada and at the Centro Superior "Forum Musikae" in Madrid, where he teaches Bachelor's and Master's degrees in Interpretation and Research.