​With percussionist Ayano Kataoka he performed at Merkin Concert Hall, Tokyo Bunka Kaikan Hall, and Izumi Hall.  A recital at the Tokyo Opera City Hall that received numerous broadcasts on NHK Television. Their CD entitled, Breaking Training was released on New Focus Recordings (NYC).  His second CD, Nataraja with pianist Thomas Rosenkranz is also available on New Focus.  He has collaborated with Claude Frank on the Schneider concert series in NYC and appeared at numerous chamber music festivals across the country including the OK Mozart, Bennington, Skaneateles, Yellow Barn, Cooperstown, Salt Bay, Look and Listen (NYC), Norfolk (Yale), Green Mountain, Chesapeake, and the Chamber Music Quad Cities series.

A respected pedagogue, Dr. Nelson has given master classes at over one hundred colleges, universities, and conservatories.  Prior to his appointment at UW-Madison, he served as the flute professor at Bowling Green State University for nine years and as the Assistant Professor of Flute at Oklahoma State University from 2007-2011. His recent residencies include Yonsei University in Seoul, Korea, the Sichuan Conservatory in Chengdu, China, the Conservatoriode Música de Puerto Rico, and the Associação Brasileira de Flautistas in São Paulo.

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He is also a regular guest of the Texas Summer Flute Symposium and has been the featured guest artist for eleven flute associations across the country.

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He received degrees from the Manhattan School of Music, Yale University, and Stony Brook University where he was the winner of the schoolwide concerto competitions at all three institutions.  He is also a recipient of the Thomas Nyfenger Prize, the Samuel Baron Prize, and the Presser Award.  His principal teachers include Carol Wincenc, Ransom Wilson, Linda Chesis, Susan Hoeppner, and Amy Hamilton. Conor is a Powell Flutes artist and is the Associate Professor of Flute at UW-Madison where he performs with the Wingra Wind Quintet.