JILA's faculty includes two Nobel laureates—Eric Cornell and John L. Hall—and three John D. and Catherine T. MacArthur Fellows—Deborah S. Jin, Margaret Murnane and Ana Maria Rey.
He then moved to the United States and from 2003 - 2005 he was a postdoctoral researcher at the Joint Institute for Astrophysics (JILA) in Boulder, Colorado.
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In addition to her permanent appointment at USC, Prof. Krylov has served as a visiting professor at Caltech, University of Minnesota (Minneapolis), University of Colorado (JILA), and Heidelberg University.
On 6 December 1956, General Alavikia married Jila Pourrastegar, the daughter of Hossein Pourrastegar, a well-known Colonel in the Persian Cossack Brigade under Reza Shah Pahlavi.
He studied also a visiting scholar at several major physics centers around the world: Joint Institute for Nuclear Research, JINR (at Dubna in Russia), Joint Institute for Laboratory Astrophysics, JILA (Boulder, Colorado, USA), International Centre for Theoretical Physics, ICTP (Trieste in Italy), and the University of Pittsburgh, (Pittsburgh, Pennsylvania, USA).