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He made his Carnegie Hall debut in 1989 and gave a series of recitals with Isaac Stern in 1991. He won a Grammy award in 1997 for his recording of the three Bartók piano concertos with Esa-Pekka Salonen and the Los Angeles Philharmonic. Another recording with Salonen, of the concertos of Sergei Rachmaninov, was pirated by the record label Concert Artist and re-issued with the piano part falsely attributed to Joyce Hatto.
Bronfman is also devoted to chamber music and has performed with many chamber ensembles and instrumentalists.
In 1999, he appeared in Disney's Fantasia 2000, in a short clip introducing the "Steadfast Tin Soldier" segment. His rendition of Dmitri Shostakovich's Piano Concerto No. 2 in F major (1st movement) with the Chicago Symphony Orchestra is the music used for the segment.
His recent appearances have included performances with the Orchestre de Paris, the Singapore Symphony Orchestra, and Bronfman has also appeared as a Pennington Great Performers series artist with the Baton Rouge Symphony Orchestra in 2005 and again in 2007. In January 2007, he also premiered Esa-Pekka Salonen's piano concerto, of which he is the dedicatee, with the New York Philharmonic conducted by the composer. This was later followed by a European premiere at the Proms with the BBC Symphony Orchestra. In May 2008, Bronfman performed the Brahms' Piano Concerto No. 1 with Michael Tilson Thomas and the San Francisco Symphony, during a three-week Brahms Festival. On Sept. 3, 2008, Bronfman performed Piano Concerto No. 3 in D minor by Sergei Rachmaninoff under the direction of Michael Tilson Thomas at the Opening Gala of the San Francisco Symphony, and on September 28 and 29 with the St. Louis Symphony Orchestra, under the direction of Dr. David Robertson. On March 25 and 26, 2009, he performed it yet again, this time under the baton of Pinchas Zukerman with the National Arts Centre Orchestra in Ottawa, Canada. Bronfman performed Brahms's Second Piano Concerto with the Houston Symphony Orchestra March 12–15, 2009, under the baton of Maestro Hans Graf, resident Music Director.
Bronfman's older sister, Elizabeth Krupnik, has been a violin player with the Israel Philharmonic Orchestra for the past 30 years.
Then Bronfman appears. Bronfman the brontosaur! Mr. Fortissimo. Enter Bronfman to play Prokofiev at such a pace and with such bravado as to knock my morbidity clear out of the ring. He is conspicuously massive through the upper torso, a force of nature camouflaged in a sweatshirt, somebody who has strolled into the Music Shed out of a circus where is the strongman and who takes on the piano as a ridiculous challenge to the gargantuan strength he revels in. Yefim Bronfman looks less like the person who is going to play the piano than like the guy who should be moving it. I had never before seen anybody go at a piano like this sturdy little barrel of an unshaven Russian Jew. When he's finished, I thought, they'll have to throw the thing out. He crushes it. He doesn't let that piano conceal a thing. Whatever's in there is going to come out, and come out with its hands in the air. And when it does, everything there out in the open, the last of the last pulsation, he himself gets up and goes, leaving behind him our redemption. With a jaunty wave, he is suddenly gone, and though he takes all his fire off with him like no less a force than Prometheus, our own lives now seem inextinguishable. Nobody is dying, nobody – not if Bronfman has anything to say about it.