Question: What did the man for whom 9999 Wiles was named specialise in?

Context paragraphs:
Fledg'ling Records: Fledg'ling Records is a British independent record label founded in 1991.  The label has re-released some albums previously issued by Hokey Pokey Records which was also run by the Fledg'ling founder - David Suff.  David Suff having been half of the team running the Richard Thompson fanzine - "Hokey Pokey" (named after a Richard and Linda Thompson LP).  Both record labels specialise in classic and new British folk and folk-rock.  Fledg'ling is based in London but the organisation is low-profile.

Keen City: Keen City is an award winning creative production company based in London.  Named for a line in the poem "The Moon's a Balloon" by E. E. Cummings, Keen City are a team of young writers, directors and producers who specialise in narrative content.

Cape Wiles: Cape Wiles is a headland located on the west side of the southern tip of Eyre Peninsula in South Australia about 27 km south west of the city of Port Lincoln.  The cape is described by one source as being the south east extremity of “a broad promontory” of which Cape Carnot is the south west extremity at a distance of 3 nmi to the west.  The cape also is the western extremity of Sleaford Bay.  It was named by Matthew Flinders on 19 February 1802 after James Wiles, a botanist whom he described as “a worthy friend at Liguanea, in Jamaica”.  The cape is the site of a high frequency radar station which is used to collect data about wind direction and wave height.  Since 2012, the waters adjoining its shoreline are within a habitat protection zone in the Thorny Passage Marine Park.

P400-class patrol vessel: The P400 patrol ships are small vessels of the French Navy.  They were designed to accomplish police operations in the French Exclusive Economic Zone.  They were built by the "Constructions Mécaniques de Normandie", which specialise in small military craft.  Two similar ships are in service in Gabon.  The P400 were originally designed in two versions: one armed with Exocet MM38 missiles, and another public service version with a smaller 16-man complement; eventually neither of these versions was commissioned as the Navy chose an intermediate version.

Luke Wiles: Luke Wiles (born August 28, 1982) is a Canadian lacrosse player who plays forward for the Philadelphia Wings of the National Lacrosse League.  Wiles was named to the 2006 NLL All-Rookie Team.

9999 Wiles: 9999 Wiles, provisional designation 4196 T-2, is a Koronian asteroid from the outer region of the asteroid belt, approximately 6 to 7 kilometers in diameter.  It was named after British mathematician Andrew Wiles.

Hux Records: Hux Records is a British record label based in England, which was launched in 1998.  They specialise in releasing old material, especially in unreleased BBC recordings such as John Peel Sessions and BBC Radio 1 concerts.  Hux has gained a reputation as an excellent independent record label, offering an eclectic selection of classic archive recordings.  Hux has also re-released recordings by such artists as Malcolm Morley's Sam Apple Pie and Help Yourself; and Man's debut album, which was recorded in 1976 but not released latterly (the master tapes were lost and only discovered recently).

TNSrecords: TNSrecords (also known as TNS and That's Not Skanking) is a DIY Record Label based in Manchester, United Kingdom, founded in 2008 by Revenge of the Psychotronic Man bassist/vocalist Andy Psychotronic, along with a personal friend of his, Tim Bevington.  They specialise in Punk rock and Ska, though they also have included some Heavy metal acts.  TNS produce a free Fanzine, arrange gigs in Manchester and run TNSradio, a podcast featuring music from their own and other, similar artists from around the world.  They have organised showcase gigs in Leeds, Macclesfield, and Blackpool.  They are sometimes referred to as TNS Records, but the correct name is TNSrecords.

Circaetinae: Circaetinae is a bird of prey subfamily which consists of a group of medium to large broad-winged species.  These are mainly birds which specialise in feeding on snakes and other reptiles, which is the reason most are named as "snake-eagles" or "serpent-eagles".  The exceptions are the bateleur, a more generalised hunter, and the Philippine eagle, which preys on mammals.

Andrew Wiles: Sir Andrew John Wiles (born 11 April 1953) is a British mathematician and a Royal Society Research Professor at the University of Oxford, specialising in number theory.  He is best known for proving Fermat's Last Theorem, for which he received the 2016 Abel Prize.  Wiles has received numerous other honours, including the Copley Medal, the Royal Society's highest honour, in 2017.

Supporting paragraphs: 9999 Wiles Andrew Wiles
Answer: number theory