Alvarado has been working with a number of reputable orchestras in Europe and the U.S, including the Tapiola Sinfonietta, the Oulu Symphony Orchestra, Norrköping's Symphony Orchestra, the Essen Philharmonie, Bochumer Symphoniker, the Ensemble Orchestral de Paris and the Castleton Festival orchestra. Recently, Alvarado has conducted several opera productions like Britten's Turn of the Screw and Cimarosa's Il matrimonio segreto, which was as a part of the Savonlinna Opera Festival 2011.

Alvarado has been honored with multiple grants from the Solti Foundation allowing him to participate in renowned master classes with Zsolt Nagy, Peter Eötvos, Jorma Panula, Kenneth Kiesler, Roger Norrington and Sylvain Cambreling. In 2010, Alvarado was invited by Maestro Lorin Maazel to join him to the Castleton Festival in Virginia. Also invited to the Interaktion conducting workshop in Berlin, Alvarado had the opportunity to work with musicians leaders of the top German orchestras.

In 2008, Alvarado founded the Ensemble 27, an orchestra formed by students of the Sibelius Academy. They inaugurated the Sibafest -festival with a concert honoring Magnus Lindberg's 50th anniversary, the repertoire including not only works by Lindberg but also works by Lucian Berio and Witold Lutoslwaski.

Currently chosen to participate in the International Conductors Academy of the Allianz Cultural Foundation in London. Alvarado has had the opportunity to work with both the Philharmonia Orchestra and the London Philharmonic Orchestra. In December 2011, Alvarado will graduate conducting the Sibelius Academy Orchestra in the brand new and recently inaugurated Helsinki Music Center, performing works by Wagner, Shostakovich and Vaughan-William.

Alvarado lives in Helsinki with his wife and a newborn daughter.