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He was born in Mexico City in 1964.
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He was 15 years old when he decided that he wanted to be an astronomer, he discovered that by reading The challenge of the stars.
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In 1983 was studying Physics in the UNAM.
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In 1990 he moved to Gales and began his PhD in the Cardiff University.
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In 1994 he finished his PhD.
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In 1996 was working in the Max Planck Institute for Gravitational Physics in Postdam, in Germany.
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Since 2002 he has been working in the Nuclear Science Institute (UNAM).
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In 2009, he received the “Medal of Merit in Science”.
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In 2011, the magazine Quo and Discovery Chanel recognized him with the price “Quo-Discovery minds”
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In 2012 he became the Director of the Nuclear Science Institute (UNAM)
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Alcubierre Moya was part of a team that, in 2013, invalidated some theories that proposed the possibility of trips at the speed of light. The idea for this investigation came from the television series Star Trek, of which he is a follower.
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In 2016 he was reelected as Director of the Nuclear Science Institute (UNAM)
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Right now, he is Director of the Nuclear Science Institute (UNAM) and he is a teacher in the physics degree of the subjects of "Relativity" and "Selected Topics of Relativity, Cosmology and Gravitation"