Egan's short stories have been published in a variety of genre magazines, including regular appearances in Interzone and Asimov's Science Fiction.
Mathematics
In 2014, Egan conjectured a generalization of the Grace–Danielsson Inequality about the relation of the radii of two spheres and the distance of their respective centres to fit a simplex between them to also hold in higher dimensions, which later became known as the Egan conjecture. A proof of the inequality being sufficient was published by him on 16 April 2018 under a blog post of John Baez.[7] A proof of the inequality also being necessary was published by Sergei Drozdov on 16 October 2023 on ArXiv.[8]
In 2018, Egan described a construction of superpermutations, thus giving an upper bound to their length. On 27 February 2019, using ideas developed by Robin Houston and others, Egan produced a superpermutation of n = 7 symbols of length 5906, breaking previous records.[9][10]
Egan does not attend science fiction conventions,[13] does not sign books, and has stated that he appears in no photographs on the web,[14] though both SF fan sites and Google Search have at times mistakenly represented photos of other people with the same name as those of the writer.[15]
"Orphanogenesis" in Interzone issue 123, September 1997[43]
Academic papers
An Efficient Algorithm for the Riemannian 10j Symbols by Dan Christensen and Greg Egan[44]
Asymptotics of 10j Symbols by John Baez, Dan Christensen and Greg Egan[45]
Conic-Helical Orbits of Planets around Binary Stars do not Exist by Greg Egan[46]
Short movies
The production of a short film inspired by the story "Axiomatic" commenced in 2015,[47] and the film was released online in October 2017.[48]
Notes
^Singleton introduced the concept of the Qusp, which was later used in the novel Schild's Ladder.
^Dust was incorporated into the novel Permutation City as the first few chapters in one narrative thread.
^Wang refers to the mathematician Hao Wang – the carpets are living embodiments of Wang tiles. This story, minorly reworked, became a section of the novel Diaspora.