Conway blev født og opvoksede i [[Liverpool]]. Han tilbragte den første halvdel af sin karriere på [[University of Cambridge]] før han flyttede til [[USA]], hvor han havde et [[John von Neumann]]-professorat på [[Princeton University]] resten af sin karriere.<ref>{{Cite journal | doi = 10.1080/10586458.1996.10504585| title = Packing Lines, Planes, etc.: Packings in Grassmannian Spaces| journal = Experimental Mathematics| volume = 5| issue = 2| pages = 139| year = 1996| last1 = Conway | first1 = J. H. | last2 = Hardin | first2 = R. H. | last3 = Sloane | first3 = N. J. A. | arxiv = math/0208004}}</ref><ref>{{Cite journal | doi = 10.1109/18.59931| title = A new upper bound on the minimal distance of self-dual codes| journal = IEEE Transactions on Information Theory| volume = 36| issue = 6| pages = 1319| year = 1990| last1 = Conway | first1 = J. H. | last2 = Sloane | first2 = N. J. A. }}</ref><ref>{{Cite journal | doi = 10.1016/0097-3165(93)90070-O| title = Self-dual codes over the integers modulo 4| journal = Journal of Combinatorial Theory, Series A| volume = 62| pages = 30–45| year = 1993| last1 = Conway | first1 = J. H. | last2 = Sloane | first2 = N. J. A. | doi-access = free}}</ref><ref>{{Cite journal | doi = 10.1109/TIT.1982.1056484| title = Fast quantizing and decoding and algorithms for lattice quantizers and codes| journal = IEEE Transactions on Information Theory| volume = 28| issue = 2| pages = 227| year = 1982| last1 = Conway | first1 = J.| last2 = Sloane | first2 = N.| url = http://neilsloane.com/doc/Me83.pdf| citeseerx = 10.1.1.392.249}}</ref><ref>{{Cite journal | doi = 10.1016/0097-3165(90)90057-4| title = Tiling with polyominoes and combinatorial group theory| journal = Journal of Combinatorial Theory, Series A| volume = 53| issue = 2| pages = 183| year = 1990| last1 = Conway | first1 = J. H. | last2 = Lagarias | first2 = J. C. }}</ref><ref name=mactutor>MacTutor History of Mathematics archive: [https://www-history.mcs.st-andrews.ac.uk/Biographies/Conway.html John Horton Conway]</ref>
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