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.

His thesis, written under the supervision of Ralph Fox, was titled On homology spheres.

This result (a "remarkable theorem", as Lee Neuwirth called it in his review), was published in 1975 in Annals of Mathematics.

[1] In 1978, together with José María Montesinos, he answered a question posed by Fox, proving the existence of 2-knots whose groups have infinitely many ends.

[2] With Hamish Short, González-Acuña proposed and worked on the cabling conjecture: the only knots in the 3-sphere which admit a reducible Dehn surgery, i.e. a surgery which results in a reducible 3-manifold, are the cable knots.