Artist involved in several musical worlds, Elsa Moatti studied modern and baroque violin with Stéphanie-Marie Degand at the Paris Conservatoire, and generative improvisation with Alexandros Markéas and Vincent Lê Quang. She also studied with violinist Réka Szilvay at the Sibelius Academy in Helsinki.
In the baroque repertoire, she plays with the Diane Française conducted by Stéphanie-Marie Degand, with the Talens Lyriques conducted by Christophe Rousset, and in performances by the singer and stage director Arnaud Marzorati, in Centre-de-Musique-Baroque-de-Versailles productions. She takes part in the world of creation and improvisation with performances within the Orchestre National de Jazz, the IRCAM, the Ensemble Miroirs Etendus, the Ensemble Itinéraire, or also the Medvedkine cine-concert quartet, the Eléanora quartet with the saxophonist Vincent Lê Quang , the musical theater company directed by Jacques Rebotier and the group of improvisers La Croche-et-le-Marteau that she contributed to found. She also performs in a duo with actress Emmanuelle Cordoliani, where the Bach BWV 1004 D minor Partita for violin solo communicates with the Ascent of Mont Ventoux by Pétrarque. Elsa joins Le Concert Idéal conducted by Marianne Piketty for the Vivaldi-Piazzolla shows during the Avignon festival in 2017 and 2018, and for the Fil d’Ariane created and recorded in 2018 at the Noirlac Abbey - Les Traversées festival.
As a soloist, the violinist is invited to play the Mendelssohn and the Beethoven concerto under the direction of conductor Gaël Peron, and the Mozart G major concerto under the direction of conductor Régis Pasquier. She plays in France, China and Israël with the PSL orchestra conducted by Johan Farjot in particular in "Introduction et Rondo Capriccioso" by Saint-Saëns, for which she is also invited to play with the “Imprompu” orchestra, under the direction of conductor Léo Margue.
Prizewinner of the Académie Maurice Ravel in 2016 with pianist Célia Oneto-Bensaïd, they play together in festivals such as Les moments Musicaux in Chalosse and L’Estival in La Bâtie. She also plays chamber music with pianist Michalis Boliakis and cellist juliette Salmona. With pianist Suzanne Ben Zakoun, she performs in a duo, with a repertoire ranging from classical to improvisation. In 2018, she launches the Trio Hémisphères with accordionist Théo Ould and bass player Pierre-Antoine Despatures, in a creative process linked to the academic repertoire from popular origin.
She teaches violin since 2018 in the Maurice Ravel Music Conservatory of Paris 13th arrondissement.
She plays a Joël Klépal modern violin made in Paris in 2013 and a Friedrich Meinel violin made in Germany in 1760.