Though known as for her solo work, she has collaborated with numerous artists including Pauline Oliveros, Chris Cutler, the London Improvisors Orchestra, the Glasgow Improvisors Orchestra, Joe McPhee, Ken Vandermark, Nate Wooley, Ingrid Laubrock and Leila Bourdreuil, George Burtm Evan Parker, Michael Formanek, Zane Campbell, and Mary Halvorson among others.
In 2016, she was voted “Best Other Instrument” by the International Critics Poll. In 2017 she received the Baker Artist Award, and in 2018, along with saxophonist Joe McPhee, she was the recipient of the Instant Award in Improvised Music. The UK Guardian writes, “As an improvisor and composer, Alcorn has proven to be visionary. Her pieces reveal the complexity of her instrument and her musical experience while never straying from a very direct, intense, and personal musical expression.”