Francisco Javier González-Acuña
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Francisco Javier González-Acuña
Francisco Javier González-Acuña (nickname "Fico") is a mathematician in the UNAM's institute of mathematics and CIMAT, specializing in low-dimensional topology. Education He did his graduate studies at Princeton University, obtaining his Ph.D. in 1970. His thesis, written under the supervision of Ralph Fox, was titled ''On homology spheres''. Research An early result of González-Acuña is that a group (mathematics), group ''G'' is the homomorphic image of some knot group if and only if ''G'' is Finitely generated group, finitely generated and has weight at most one. This result (a "remarkable theorem", as Lee Neuwirth called it in his review), was published in 1975 in ''Annals of Mathematics''. In 1978, together with José María Montesinos, he answered a question posed by Fox, proving the existence of 2-knots whose groups have End (topology), infinitely many ends. With Hamish Short, González-Acuña proposed and worked on the cabling conjecture: the only knot (mathematics), k ...
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UNAM
The National Autonomous University of Mexico (, UNAM) is a public research university in Mexico. It has several campuses in Mexico City, and many others in various locations across Mexico, as well as a presence in nine countries. It also has 34 research institutes, 26 museums, and 18 historic sites. A portion of (University City), UNAM's main campus in Mexico City, is a UNESCO World Heritage site that was designed and decorated by some of Mexico's best-known architects and painters. The campus hosted the main events of the 1968 Summer Olympics, and was the birthplace of the student movement of 1968. All Mexican Nobel laureates have been alumni of UNAM. In 2009, the university was awarded the Prince of Asturias Award for Communication and Humanities. More than 25% of the total scientific papers published by Mexican academics come from researchers at UNAM. UNAM was founded in its modern form, on 22 September 1910 by Justo Sierra as a secular alternative to its predecessor, the ...
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